Mesoscale and Nanoscale Physics
Magnetic Field Reorganization of Electronic States in Moiré Bilayer Graphene
Milan Sharma Mandigo-Stoba, William Wang, Jackson Kuklin et al. (+4 more)
Magnetic fields are widely used to diagnose
quantum phases in two-dimensional systems through
quantum oscillations or by tuning
spin and valley polarizations, but
magnetic fields can also reshape the underlying electronic structure. Here, using a bilayer
graphene/hBN moiré system, we reveal a rich
magnetic field induced
evolution of the semiclassical orbit network, encompassing Lifshitz transitions,
magnetic breakdown, and scattering between coexisting electron and hole pockets. At
magnetic fields of 1 T to 2 T,
quantum oscillation frequencies and the Hall density change markedly over a broad carrier density range, signaling
magnetic breakdown and
magnetic Lifshitz transitions. This
evolution is valley contrasting: Berry
curvature hot spots near the breakdown junctions enhance
magnetic breakdown in the K valley while suppressing it in the K$^\prime$ valley, whereas valley-antisymmetric orbital
magnetic moments split the corresponding Lifshitz transitions. The resulting valley-selective trajectories manifest at higher fields as valley-
symmetry-breaking Hofstadter gaps. At elevated temperatures and low
magnetic fields, scattering between coexisting electron and hole pockets produces nearly density-independent resistance oscillations whose frequency tracks the sum of their Fermi surface areas, persisting after conventional Onsager oscillations are thermally washed out. Our results provide a unified picture of how modest
magnetic fields reorganize moiré electronic states as the system evolves from semiclassical transport toward the Hofstadter regime.
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All authors Milan Sharma Mandigo-Stoba, William Wang, Jackson Kuklin, Jack Lichterman, Kenji Watanabe, Takashi Taniguchi, Qianhui Shi
Mesoscale and Nanoscale Physics
Valley polarization of moiré interlayer exciton complexes driven by many-body interactions
Adrian O. Paulus, Mikołaj J. Metelski, Alain Dijkstra et al. (+4 more)
Localized interlayer
excitons (IX) in moiré transition metal dichalcogenide
heterostructures can both probe and participate in many-body states hosted by the moiré superlattice. When the IX density is small compared to the moiré
lattice density, the formation of incompressible charge
crystals at fractional electronic moiré fillings modifies
exciton-charge scattering, leading to enhanced lifetimes in photoluminescence (PL) measurements. At high IX densities, the
exciton dynamics are altered by the emergence of an excitonic Mott
insulator and the formation of doubly-occupied sites (IXX). Here, we investigate the IX PL lifetime and valley polarization in an R-type $\mathrm{WSe_2}$/$\mathrm{WS_2}$ bilayer across a wide range of IX and charge densities. While previous studies reported a decrease of polarization in time-integrated measurements in charge-incompressible phases, our results show that this arises not from enhanced intervalley scattering, but from a dilution of the valley polarization by the dramatic enhancement of IX lifetimes. At high excitation densities, we probe the dynamics of the IXX and show that despite the nominal antiparallel valley configuration of the two constituent
excitons, a strong, anomalous valley polarization develops as the IXX population decays. Our results shed light on the complex
exciton and valley dynamics of IX and demonstrate that they are strongly modified by the rich many-body physics of moiré heterobilayers.
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All authors Adrian O. Paulus, Mikołaj J. Metelski, Alain Dijkstra, Kenji Watanabe, Takashi Taniguchi, Nathan P. Wilson, Jonathan J. Finley
Mesoscale and Nanoscale Physics · Cross-listed from quant-ph
Few-photon degenerate parametric resonance in a two-tone driven microwave resonator
Orjan Ameye, Jakob Koenig, Clinton Potts et al. (+2 more)
Multi-tone external driving offers a route to parametric physics without directly modulating the device. However, the validity of the parametric response in the few-
photon regime remains underexplored. Here, we apply two coherent microwave tones to a Josephson-junction Kerr oscillator and stimulate degenerate parametric downconversion via four-wave mixing. Using transmission spectroscopy, we observe that the response retains the qualitative semiclassical Kerr parametric oscillator structure, including its instability lobe and bistable phase-space
topology. Interestingly, we demonstrate that a conventional single-mode reduction fails to capture the system quantitatively: the predicted AC Stark shift is severely underestimated, and the reported distributions might not be fully physical when the single-
photon Kerr shift $K$ exceeds the cavity linewidth $\kappa$. Instead, we show that a full three-tone
quantum description accurately reproduces the experimental observables. There,
quantum fluctuations of the drive tones become dynamically dominant over dissipation, and all three interacting tones operate in a deep few-
photon limit where the expected semiclassical macroscopic lobes undergo fundamental renormalization due to profound mixing with
quantum variance. Our results establish two-tone-driven Kerr oscillators as potential parametric amplifiers and open new horizons to explore the
quantum-to-classical crossover in driven-dissipative
circuits.
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All authors Orjan Ameye, Jakob Koenig, Clinton Potts, Oded Zilberberg, Gary Steele
Mesoscale and Nanoscale Physics
Surface-Selective Probe of Spin-Triplet Superconductivity in Rhombohedral Graphene
Kilian Krötzsch, Zekang Zhou, Kryštof Kolář et al. (+6 more)
Superconductivity in rhombohedral
graphene has been observed across many layer numbers, with mounting evidence pointing toward
spin-triplet pairing, yet complementary probes of the superconducting
spin structure remain needed. Here we use one-sided WS$_2$ proximity in rhombohedral pentalayer
graphene (R5G) as a surface-selective
spin-orbit probe. The induced Ising
spin-orbit coupling is strongest for carriers localized near the WS$_2$ interface, allowing the displacement field to tune the overlap between superconducting carriers and the
spin-orbit perturbation. We observe a strongly asymmetric superconducting landscape: two robust pockets, SC1 and SC2, survive only on mutually opposite signs of displacement field, while a third pocket, SC3, is substantially weaker. Gate-tracking features,
quantum oscillations, and self-consistent band-structure calculations identify the layer polarization and Fermi-surface character of the relevant carriers. The robust superconducting states are absent or strongly weakened when the active high-DOS carriers are polarized toward the WS$_2$ interface. Since Ising
spin-orbit coupling is compatible with time-reversed
spin-singlet pairing but competes with same-
spin intervalley triplet pairing by canting or pinning the parent
spin texture, this surface-selective suppression provides additional evidence for
spin-triplet superconductivity involving both hole-like and electron-like carriers. Our results establish one-sided TMD proximity as a displacement-field-tunable probe of superconducting
spin structure in rhombohedral
graphene.
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All authors Kilian Krötzsch, Zekang Zhou, Kryštof Kolář, Yonggen Li, Kenji Watanabe, Takashi Taniguchi, Moty Heiblum, Cyprian Lewandowski, Mitali Banerjee
Mesoscale and Nanoscale Physics
Magnetic-field control of Fermi polaron fine structure and polarization in strained monolayer semiconductors
Zakhar A. Iakovlev
The theory of attractive Fermi polaron energy spectrum fine structure and polarization in doped two-dimensional
semiconductors in external
magnetic field is developed. Fermi polaron $g$ factor renormalization due to correlations with the valley-polarized Fermi sea of resident charge carriers is calculated. We study the competition between Zeeman and strain-induced splittings in monolayers under uniaxial strain. The control of strain,
magnetic field and electron density allows continuous tuning of energy splitting and eigenstate polarization. Linearly polarized strain-induced split doublet exhibits quadratic Zeeman shift changing to linear Zeeman splitting with elliptical polarization with the increase of
magnetic field. We identify a critical
magnetic field above which resident charge carriers become fully valley polarized and only one circularly polarized Fermi polaron state remains. Within the Green's function approach we calculate energy levels and Stokes parameters of attractive Fermi polaron states and introduce a simplified effective two-level model allowing us to study analytically the interplay of Zeeman and pseudo-Zeeman splitting. We calculate absorption and reflection spectra, including circular and linear dichroism in the trion spectral range. These results show that real and strain-induced pseudomagnetic fields provide complementary tools for controlling the optical response of many-body excitonic quasiparticles in two-dimensional
semiconductors.
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Mesoscale and Nanoscale Physics
Wavelength-Selective control of Atomic Scale Au Contacts
Werner Brämer-Escamilla, Floralba Lopez, Laila Procel et al. (+3 more)
We demonstrate wavelength-selective control of atomic motion in a mechanically controllable Au break junction. Excitation at $\lambda_{\mathrm{form}}\simeq 530~{\rm nm}$ drives gap closure and metallic bridge formation, whereas excitation at $\lambda_{\mathrm{rup}}\simeq 407~{\rm nm}$ drives neck thinning, bridge rupture, and subsequent gap opening. Unlike conventional optical switching in metallic contacts, where illumination primarily acts via thermal expansion, the present experiment reveals oppositely directed atomic drift at different wavelengths. Time-resolved conductance traces allow us to distinguish two dynamical regimes. In the tunneling regime, exponential conductance transients measure the drift velocity of the gap coordinate for both gap closure and gap opening. In the metallic regime, the Sharvin relation converts linear $\sqrt{G/G_0}$ transients into radial neck-growth and neck-thinning velocities of comparable magnitude. These results establish optically selected atomic drift as a mechanism for reversible control of metallic nanocontacts and provide a quantitative route to follow plasmon-assisted atomic rearrangements in real time.
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All authors Werner Brämer-Escamilla, Floralba Lopez, Laila Procel, David Llerena, Carlos Sabater, Ernesto Medina
Mesoscale and Nanoscale Physics
Controllable interaction between photons and distant spins via vacuum Rabi oscillations
Xiao Xue, Jurgen Dijkema, Tobias Bonsen et al. (+7 more)
Vacuum Rabi oscillations between a single
photon and a single
spin demonstrate the capability of harnessing light-matter interaction at the level of a single
quantum of energy. Since the observation of strong
spin-
photon coupling in gate-defined
quantum dots, probing this interaction in the time-domain has been a major objective. Here, we carefully engineer a device composed of two spatially separated double
quantum dots hosting single electron
spin qubits and a superconducting cavity to accommodate microwave
photons. We observe multiple
vacuum Rabi oscillations between each
spin qubit and the cavity. By concatenating
vacuum Rabi oscillations involving the two
spins, an energy excitation in one
qubit can be emitted as a
photon and then transferred to the other
qubit. When a single
photon is emitted, the cavity is prepared in a Fock state, leading to an accelerated
vacuum Rabi frequency. These results serve as building blocks not only in exploring light-matter interactions, but also in interfacing
semiconductor spin qubits to photonic links.
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All authors Xiao Xue, Jurgen Dijkema, Tobias Bonsen, Patrick Harvey-Collard, Maximilian Rimbach-Russ, Sander L. de Snoo, Guoji Zheng, Amir Sammak, Giordano Scappucci, Lieven M. K. Vandersypen
Mesoscale and Nanoscale Physics · Cross-listed from cond-mat.str-el
Cavity control of quantum phase transitions in a two-dimensional Kondo lattice
Jun Mochida, Atac Imamoglu and Yuto Ashida
Cavity
quantum electrodynamics offers a route to control
quantum phases by using
vacuum fluctuations of confined electromagnetic fields. In particular, planar cavities based on polar van der Waals materials can generate strongly confined modes and are promising for controlling two-dimensional correlated materials. Recently, moiré materials have become central platforms for studying two-dimensional heavy-
fermion systems and their
quantum phase transitions. Kondo
lattices provide a prototypical model for studying
quantum phase boundaries, driven by competition between Kondo screening and the ordering of local
magnetic moments. We show that a cavity-induced interaction can shift the
quantum phase transitions between a heavy-
fermion phase and an antiferromagnetic phase in a two-dimensional Kondo
lattice through a momentum-dependent self-energy of the conduction bands. For the longitudinal projected field motivated by h-BN
hyperbolic phonon polaritons, the self-energy favors Kondo hybridization and expands the heavy-
fermion region. Transverse and circular in-plane model structures give distinct effects, with the transverse case relatively favoring the magnetically ordered phase and the circular case lying between the longitudinal and transverse cases. These results indicate that electromagnetic
vacuum fluctuations can effectively modify the control parameters of strongly correlated two-dimensional Kondo materials.
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Mesoscale and Nanoscale Physics
Machine Learning Bandgap Prediction of Nanoporous Graphenes with Water
Sneha Mittal, Alan E. Anaya Morales, Victor Rosendal et al. (+1 more)
The structure and dynamical behavior of water confined at or within nanostructures is a topic central to many fields, from biology to emerging electronics such as carbon nanostructures. Nanoporous
graphene (NPG) containing periodic nanoscale pores with specific
topologies has emerged as a promising material in carbon-based nanoelectronics; however, its interaction with ambient water remains poorly understood. Here, we combine density functional theory (DFT), ab initio molecular dynamics (AIMD), and interpretable machine learning (ML) to reveal how water controls
quantum transport in NPGs. Depending on the local hydration structure, the bandgap varies by more than a factor of two across NPG and nitrogen-doped hybrid (h-NPG) systems. To uncover the underlying mechanism, we develop Smooth Overlap of Atomic Positions (SOAP)-based black-box and physics-informed grey-box ML models. The Gaussian process regression model achieves near-DFT accuracy while enabling physical interpretation. Analysis identifies water dipole orientation, water-substrate distance, water center-of-geometry, and ribbon-resolved dipole moments as the dominant factors controlling bandgap modulation across NPG and h-NPG systems.
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All authors Sneha Mittal, Alan E. Anaya Morales, Victor Rosendal, Mads Brandbyge
Mesoscale and Nanoscale Physics · Cross-listed from cond-mat.quant-gas
Quantum Impurities as Probes of Finite-Temperature Fluctuations in Two-Dimensional Bose Gases
Victor Velasco, Gabriele Spada, Giovanni Midei et al. (+2 more)
Two-dimensional
quantum gases provide a distinctive setting in which enhanced thermal fluctuations, finite-size effects, and two-body bound-state formation are intrinsically intertwined. In this work, we study a single attractive impurity immersed in a finite, weakly interacting two-dimensional Bose gas, where finite size stabilizes a nonzero condensate fraction by introducing an infrared momentum scale, thereby enabling a Bogoliubov description of the bath. Using a hybrid approach that combines finite-temperature many-body scattering theory with input from path-integral Monte Carlo, we analyze the impurity quasiparticle energy across the condensate and normal regimes. The infrared scale generates a
phonon-activation temperature below which the impurity energy remains nearly temperature independent. Once the resolved
phonon modes become thermally populated, their contribution competes with condensate depletion, producing a nonmonotonic temperature dependence of the polaron energy. These results suggest that attractive Bose polarons may serve as sensitive probes of finite-size thermal fluctuations,
phonon dressing, and bound-state physics in low-dimensional Bose gases.
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All authors Victor Velasco, Gabriele Spada, Giovanni Midei, Andrea Perali, Luis A. Peña Ardila
Mesoscale and Nanoscale Physics · Cross-listed from quant-ph
Entangling Topological Invariants
Kazuki Ikeda and Yaron Oz
An isolated occupied multiplet may admit local tensor-product descriptions without a globally consistent subsystem structure. We characterize the obstruction by comparing the transition functions of the occupied multiplet with those generated by independent basis changes in the two candidate subsystems. When a decomposition into rank-one sectors over a closed surface is specified, the resulting quotient removes row- and column-additive Chern data and yields mixed Chern classes. Momentum-dependent mixing of the sector labels adds the Gauss–Codazzi
curvature of the moving lines, while in the label-conserving limit the mixed class is measured by a crossed Thouless pump. When only the factor dimensions $p$ and $q$ are specified, the comparison is made at the level of the clutching map of a rank-$pq$ bundle over $S^4$. Product frames generate winding numbers in $q\mathbb Z+p\mathbb Z$, so global factorization is possible exactly when $C_2$ is divisible by $\gcd(p,q)$; in particular, odd $C_2$ obstructs a $2\times2$ factorization. We illustrate the two settings with finite eight-level
Hamiltonians and give pumping and occupied-projector
tomography protocols for their readout.
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Mesoscale and Nanoscale Physics
Enhancement of far-field thermal emission via polaritonic cavity modes
Maelie Coral, Jose Ordonez-Miranda, Georges Hamaoui et al. (+5 more)
Controlling thermal emission is crucial for applications involving thermophotovoltaics, thermal sensing, imaging, and camouflage. While prior studies focused on the emission of thermally excited guided modes (TEGMs) inside cavities, their contribution to the far-field radiation outside cavities has remained unexplored. Here, we demonstrate a tunable far-field thermal channel enabled by TEGMs arising from the coupling of surface
phonon-polaritons and cavity resonances. By combining infrared emissivity experiments with fluctuational electrodynamics simulations, we identify distinct spectral features marking the conversion of two-dimensionally confined polaritonic modes into three-dimensional radiative channels. We find that silicon cavities covered with SiO2 enhance the emissivity by up to 200% near the polaritonic spectral resonance, whereas bare silicon cavities yield only broadband enhancement. These findings provide experimental evidence of TEGMs and establish a simple cavity architecture as an effective and scalable platform for tailoring thermal radiation without complex nanofabrication.
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All authors Maelie Coral, Jose Ordonez-Miranda, Georges Hamaoui, Roman Anufriev, Laurent Jalabert, Masahiro Nomura, Yannick De Wilde, Sebastian Volz
Mesoscale and Nanoscale Physics · Cross-listed from cond-mat.mtrl-sci
Strain Tuning of Orbital-Driven Giant Magnetoresistance in van der Waals ferrimagnet Mn$_3$Si$_2$Te$_6$
Abdul Ahad, Miuko Tanaka, Shunta Aoki et al. (+7 more)
Strain engineering of magnetotransport offers a powerful strategy for uncovering emergent electronic and domain phenomena in
quantum magnetic materials, while providing a promising pathway toward next-generation mechanically programmable spintronic technologies. Van der Waals magnets are particularly attractive in this context because their high crystallinity and mechanical flexibility allow exceptionally large, precisely controllable strain, enabling access to strain-induced functionalities unattainable in conventional solids. Here, we report systematic strain control of the van der Waals magnet Mn$_3$Si$_2$Te$_6$, which exhibits an unconventional colossal magnetoresistance whose microscopic origin remains under debate. We demonstrate in situ large-strain modulation of the electrical resistance in bulk
crystals and show that the effect can be consistently explained by strain-tunable chiral orbital-current domains. Furthermore, measurements on exfoliated flake devices containing a single chiral domain reveal direct strain control of the electronic structure affected by orbital
magnetic moment, establishing a unified microscopic mechanism for the unconventional colossal magnetoresistance. These results identify strain as an exceptionally effective control parameter for tailoring electronic and
magnetic states in van der Waals magnets and provide a conceptual framework for realizing
spin-straintronic functionalities based on orbital degrees of freedom.
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All authors Abdul Ahad, Miuko Tanaka, Shunta Aoki, Darius-Alexandru Deaconu, Varun Shah, Tenta Kitamura, Hao Ou, Mohammad Saeed Bahramy, Jiang Pu, Toshiya Ideue
Mesoscale and Nanoscale Physics
Vector-field control and emergent basal-plane anisotropy of magnetic textures in noncentrosymmetric (Fe$_{0.63}$Ni$_{0.3}$Pd$_{0.07}$)$_3$P
Victor Ukleev, Oleg I. Utesov, Lorenzo Ubilla et al. (+17 more)
(Fe$_{0.63}$Ni$_{0.3}$Pd$_{0.07}$)$_3$P is a room-temperature magnet with $S_4$
symmetry that hosts a rich variety of topological
spin textures. Here, we report a combined resonant small-angle x-ray scattering and ptychography study of (Fe$_{0.63}$Ni$_{0.3}$Pd$_{0.07}$)$_3$P in vector
magnetic fields over a broad temperature range. We demonstrate deterministic vector-field control of
magnetic stripe domains, where in-plane fields continuously rotate their orientation via a transition from a chiral stripe to an achiral fan configuration. Furthermore, at 50 K and below, the stripe orientation becomes metastably pinned and retains its field-trained direction. While the magnitude of the wavevector is nearly isotropic within the basal plane at room temperature, a pronounced temperature
evolution of anisotropic interactions emerges upon cooling. In particular, non-trivial anisotropy axes develop at 20-50 K reflecting the combined effects of magnetocrystalline anisotropy, anisotropic exchange, and Dzyaloshinskii-Moriya interaction (DMI), whose effective orientation is found to rotate with temperature. These results establish (Fe$_{0.63}$Ni$_{0.3}$Pd$_{0.07}$)$_3$P as a model system for vector-field control of chiral
spin textures and reveal a previously unrecognized temperature-driven
evolution of the effective DMI landscape in a noncentrosymmetric magnet.
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All authors Victor Ukleev, Oleg I. Utesov, Lorenzo Ubilla, Chen Luo, Radu-Marius Abrudan, Peter Wild, Holger Kropf, Moritz Winter, Sebastian Schneider, Alexander Tahn, Bernd Rellinghaus, Tim A. Butcher, Simone Finizio, Sebastian Wintz, Markus Weigand, Max T. Birch, Yoshinori Tokura, Yasujiro Taguchi, Kosuke Karube, Florin Radu
Mesoscale and Nanoscale Physics · Cross-listed from cond-mat.stat-mech
Fibonacci number systems and the localization criterion in the many-body Aubry-André model
Balázs Hetényi
We introduce an extension of the Fibonacci number system, we call the fractional Fibonacci number system, which interpolates between the Fibonacci number system (used for natural numbers) and the irrational base-$\phi$ number system, which can be used to represent real numbers. The number system finds its use in interpreting the localization phase diagram of the many-body non-interacting Aubry-André model. For finite system sizes a localization criterion can be obtained if the particle density is written in the fractional Fibonacci number system. In the thermodynamic limit, the criterion remains, but in this case the particle density is expressed in base-$\phi$. The nature of the thermodynamic limit is also discussed.
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Mesoscale and Nanoscale Physics
Helicity in monoaxial chiral magnets
Victor Laliena, Diego Gironés-Magaña and Javier Campo
The
equilibrium state of a monoaxial chiral magnet surrounded by a non-
magnetic medium (such as air or
vacuum) is a helical texture characterized by a single, well-defined wave vector. No metastable states have ever been observed in such systems. Recently, however, it was demonstrated that when a chiral magnet is in close contact with two uniaxial ferromagnets, a large number of metastable helical states emerge in addition to the
equilibrium state [Phys. Rev. B 109, 214424]. These helical states are distinguished by their wave number (helicity). In the present work, we elucidate the topological origin of the stabilization of these states –a mechanism we term dynamical topological protection– and investigate their static and dynamic properties. We find that, as a consequence of this dynamical topological protection, the winding number of the helical states remains constant under the application of sufficiently weak
magnetic fields and polarized electric currents. Furthermore, when a polarized current is applied to a metastable helical state, a static configuration is reached. This state retains the original winding number, but its winding number density becomes non-homogeneously distributed, concentrating near the interface with one of the ferromagnets. The dynamic response to sufficiently large
magnetic fields and currents provides mechanisms to switch between different helical states. Since the
magnetic properties depend on helicity, these metastable helical states are highly promising for applications in spintronics and magnonics.
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Mesoscale and Nanoscale Physics · Cross-listed from quant-ph
Single-molecule strong optomechanical regimes in SERS via hybrid plasmonic cavities
Miguel Á. Martínez-García, Johannes Feist and Diego Martín-Cano
We identify enhanced strong coherent Surface-Enhanced Raman Scattering (SERS) interactions facilitated by hybridized metallo-dielectric cavities with a resonant fluorescent molecule. By illuminating a detuned electronic transition near saturation via a narrowband hybrid plasmonic mode, we observe enhanced splittings in the Stokes and anti-Stokes spectra, revealing strong optomechanical coupling and nonlinear vibrational modifications at intensities far below irreversible SERS damage thresholds. We compute the second-order
photon correlations that allows identifying the nonclassical character associated to these strong optomechanical interactions and SERS configurations that enables them to optically characterize the anharmonic character of the vibrational modes.
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Mesoscale and Nanoscale Physics
Quaternion-Kähler geometry of time reversal symmetric crystals
Hyeongmuk Lim, Junseo Jung, Yuting Qian et al. (+1 more)
Quantum geometry reveals how the shape of Bloch wave functions governs correlated
quantum phenomena. Its standard formulation describes isolated complex bands, where Berry
curvature is Abelian and ideal geometry is Kähler. However, time reversal symmetric
crystals with
spin require a different
language since Kramers degeneracy pairs Bloch states and turns Berry
curvature into a non-Abelian SU(2) field. Here we show that Kramers pair band geometry is quaternionic. A minimal Kramers pair defines a map into quaternion projective space, and its quaternionic
quantum geometric tensor unifies the
quantum metric with the three SU(2) Berry
curvature components. The non-negativity of this tensor imposes local metric-
curvature inequalities, whose saturation defines the non-Abelian counterpart of ideal Chern bands. In four dimensions, the ideal limit further yields an algebraic structure related to the four-dimensional
quantum Hall effect. Our results promote ideal
quantum geometry from the Abelian geometry of Chern bands to the quaternionic, non-Abelian geometry of time reversal symmetric
quantum matter.
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All authors Hyeongmuk Lim, Junseo Jung, Yuting Qian, Bohm-Jung Yang
Mesoscale and Nanoscale Physics
Hidden Quantum Geometry in Bilayer Exciton Condensates
Xuzhe Ying and Benjamin T. Zhou
When an electron-doped layer is stacked with a hole-doped layer with approximately equal carrier density, inter-layer Coulomb interaction turns the bilayer system into an
exciton condensate (EC). In this Letter, we reveal a fundamental property of bilayer ECs: the excitonic order gives rise to nontrivial hidden
quantum geometric effects in the correlated electron-hole bands, even when the non-interacting bands are trivial. Such peculiar EC-driven
quantum geometry manifests itself in a characteristic out-of-plane polarization response upon applying an in-plane AC electric field to the bilayer EC system. In particular, the second-order response exhibits a characteristic inverse square scaling with the bilayer EC order parameter. Our finding reveals a fundamental hidden Berry phase effect driven by electron-hole correlations, and establishes bilayer EC as a promising platform for rich nonlinear physics.
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