PT-symmetric antiferromagnets support antiferro-chiral phonons whose sublattice-staggered angular momentum couples to the Neel vector via molecular Berry curvature.
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The size of Cooper pairs is given by the trace of their quantum geometric quadrupole moment, with Berry curvature entering via the pair wavefunction phase to impose a geometric lower bound alongside the quantum metric.
Alterelectricity is introduced as switchable states with alternating band structures arising from sublattice-selective structural changes related by non-inversion symmetry, with realizations in bilayer sliding and ferroelectric materials plus a proposed tunnel junction application.
A nonlinear orbital Hall effect odd in the Néel vector unifies electrical readout of antiferromagnetic switching with orbital torque writing to ferromagnets via spin-orbit coupling.
Modulated Hubbard interaction realizes C=+2 many-body pump whose boundary spectral flow splits into distinct edge events with an intervening neutral spinful triplet excitation.
Phase diagrams of trivial phases in class A non-interacting fermions exhibit topological textures from non-trivial state families, computed via higher Berry phases, with diabolical points hosting robust boundary modes.
Strained vanadium and niobium host orbitally polarized Cooper pairs that generate a transverse orbital magnetization perpendicular to an in-plane magnetic field.
The quantum-metric-induced intrinsic longitudinal response vanishes identically because intrinsic currents are dissipationless, independent of band details and to all orders in nonlinearity.
Centrosymmetric altermagnets exhibit giant magnetic-field-induced spin magnetization of order 10^{-2} μ_B nm^{-3} at ~10 mT, controlled solely by the spin-rotation quantum metric as the only symmetry-allowed linear quantum-geometric response.
Decoherence in macroscopic topological insulators produces quadratic corrections with impurity density, a stronger second-order skew-scattering channel for the extrinsic spin Hall effect, and a quadratic scaling law between spin Hall and longitudinal conductivity.
A translationally equivariant and higher-order finite-difference method for Wannier interpolation yields more accurate Wannier centers, position matrices, electric polarization, orbital magnetization, and spin Hall conductivity.
CeCo2As2 exhibits an enhanced spontaneous anomalous Nernst effect attributed to strong Berry curvature in f-orbital-dominated flat bands, serving as a signature of Fermi energy pinning in a topological flat band.
Zeeman QGT is non-Hermitian with anomalous sector giving curvature-flux dual to local pi1 topology at Dirac nodes, matching four symmetry-resolved gyrotropic conductivity components.
Magnetic toroidal monopoles in periodic crystals are quantified as a geometric quantity from relativistic polarization responses to magnetic field gradients, using Berry curvatures in extended parameter space.
Ultracold fermionic atoms in a shaken optical honeycomb lattice map the interband Berry connection via polarization-dependent resonant excitations, revealing transparency lines and Dirac strings between K and K' points.
TMD monolayers exhibit an orbital Nernst effect independent of spin-orbit coupling and a spin Nernst effect that scales with it, both tunable by doping and arising from Berry curvatures.
A giant atom coupled to a detuned honeycomb photonic lattice emits valley-polarized photons that propagate chirally along domain walls.
The anomalous Thomson coefficient is a function of the anomalous Nernst coefficient, enhanced relative to it and approaching a factor of three at low temperature, with inferred values up to fifteen times larger in CeCrGe3.
Impurity-scattering-induced coherence decay produces finite longitudinal conductivity in Berry-curvature-dominated topological insulators without Fermi-level carriers, with linear impurity scaling and 1/T temperature dependence.
Magnetoresistance originates from decoherence throughout the Fermi sea, with conductivity parameterized by two complex decoherence times that scales linearly with impurity density, unlike the inverse scaling in the Drude model.
Strain-induced axial gauge fields B5 produce angle-independent linear-in-B5 contributions to planar Hall conductivity in gapped nodal rings due to alignment with Berry curvature and orbital magnetic moment, with one component remaining completely strain-immune.
Light-matter coupling expansion of the magnon Hamiltonian yields the Fleury-Loudon Raman vertex, directly connecting Raman circular dichroism to magnon band Berry curvature.
Phonon mechanical angular momentum converts to electronic degrees of freedom via a derived second-order Hamiltonian in helical systems.
Valley Chern numbers in photonic crystals form a continuous spectrum rather than being quantized, due to inter- and intra-valley Berry curvature cancellations.
citing papers explorer
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Antiferro-Chiral Phonons in $\mathcal{P}\mathcal{T}$-Symmetric Antiferromagnets
PT-symmetric antiferromagnets support antiferro-chiral phonons whose sublattice-staggered angular momentum couples to the Neel vector via molecular Berry curvature.
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Quantum Geometric Quadrupole of Cooper Pairs
The size of Cooper pairs is given by the trace of their quantum geometric quadrupole moment, with Berry curvature entering via the pair wavefunction phase to impose a geometric lower bound alongside the quantum metric.
-
Alterelectricity: Electrical Analogue of Altermagnetism
Alterelectricity is introduced as switchable states with alternating band structures arising from sublattice-selective structural changes related by non-inversion symmetry, with realizations in bilayer sliding and ferroelectric materials plus a proposed tunnel junction application.
-
Nonlinear Magnetic Orbital Hall Effect Induced by Spin-Orbit Coupling
A nonlinear orbital Hall effect odd in the Néel vector unifies electrical readout of antiferromagnetic switching with orbital torque writing to ferromagnets via spin-orbit coupling.
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Interaction-Split Edge Spectral Flow and Neutral Triplet Boundary Modes in a C = 2 Hubbard Pump
Modulated Hubbard interaction realizes C=+2 many-body pump whose boundary spectral flow splits into distinct edge events with an intervening neutral spinful triplet excitation.
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Textured phase diagrams of featureless insulators
Phase diagrams of trivial phases in class A non-interacting fermions exhibit topological textures from non-trivial state families, computed via higher Berry phases, with diabolical points hosting robust boundary modes.
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Transverse Magnetic Response from Orbitally Polarized Cooper Pairs in Elemental Superconductors
Strained vanadium and niobium host orbitally polarized Cooper pairs that generate a transverse orbital magnetization perpendicular to an in-plane magnetic field.
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Absence of Quantum-Metric-Induced Intrinsic Longitudinal Response
The quantum-metric-induced intrinsic longitudinal response vanishes identically because intrinsic currents are dissipationless, independent of band details and to all orders in nonlinearity.
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Giant Spin Magnetization from Quantum Geometry in Altermagnets
Centrosymmetric altermagnets exhibit giant magnetic-field-induced spin magnetization of order 10^{-2} μ_B nm^{-3} at ~10 mT, controlled solely by the spin-rotation quantum metric as the only symmetry-allowed linear quantum-geometric response.
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Theory of quantum decoherence in macroscopic topological insulators
Decoherence in macroscopic topological insulators produces quadratic corrections with impurity density, a stronger second-order skew-scattering channel for the extrinsic spin Hall effect, and a quadratic scaling law between spin Hall and longitudinal conductivity.
-
Accurate calculation of Wannier centers, position matrix, and composite operators using translationally equivariant and higher-order finite differences
A translationally equivariant and higher-order finite-difference method for Wannier interpolation yields more accurate Wannier centers, position matrices, electric polarization, orbital magnetization, and spin Hall conductivity.
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Enhanced Anomalous Nernst Effect in the Ferromagnetic Kondo Lattice CeCo2As2
CeCo2As2 exhibits an enhanced spontaneous anomalous Nernst effect attributed to strong Berry curvature in f-orbital-dominated flat bands, serving as a signature of Fermi energy pinning in a topological flat band.
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Dual Quantum Geometric Tensors and Local Topological Invariant
Zeeman QGT is non-Hermitian with anomalous sector giving curvature-flux dual to local pi1 topology at Dirac nodes, matching four symmetry-resolved gyrotropic conductivity components.
-
Magnetic toroidal monopoles from relativistic polarization responses to magnetic field gradients
Magnetic toroidal monopoles in periodic crystals are quantified as a geometric quantity from relativistic polarization responses to magnetic field gradients, using Berry curvatures in extended parameter space.
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Interband Berry connection measurement in the optical honeycomb lattice
Ultracold fermionic atoms in a shaken optical honeycomb lattice map the interband Berry connection via polarization-dependent resonant excitations, revealing transparency lines and Dirac strings between K and K' points.
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Orbital and Spin Nernst Effects in Monolayers of Transition Metal Dichalcogenides
TMD monolayers exhibit an orbital Nernst effect independent of spin-orbit coupling and a spin Nernst effect that scales with it, both tunable by doping and arising from Berry curvatures.
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Giant-atom-enabled quantum optics with valley-polarized photons
A giant atom coupled to a detuned honeycomb photonic lattice emits valley-polarized photons that propagate chirally along domain walls.
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Anomalous Thomson Effect
The anomalous Thomson coefficient is a function of the anomalous Nernst coefficient, enhanced relative to it and approaching a factor of three at low temperature, with inferred values up to fifteen times larger in CeCrGe3.
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Metalization of topological insulators
Impurity-scattering-induced coherence decay produces finite longitudinal conductivity in Berry-curvature-dominated topological insulators without Fermi-level carriers, with linear impurity scaling and 1/T temperature dependence.
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Magnetoresistance from decoherence
Magnetoresistance originates from decoherence throughout the Fermi sea, with conductivity parameterized by two complex decoherence times that scales linearly with impurity density, unlike the inverse scaling in the Drude model.
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Interplay of strain-induced axial gauge fields and intrinsic band-topology in the magnetoelectric conductivity of gapped nodal rings
Strain-induced axial gauge fields B5 produce angle-independent linear-in-B5 contributions to planar Hall conductivity in gapped nodal rings due to alignment with Berry curvature and orbital magnetic moment, with one component remaining completely strain-immune.
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Light-Matter-Coupling formalism for magnons: probing quantum geometry with light
Light-matter coupling expansion of the magnon Hamiltonian yields the Fleury-Loudon Raman vertex, directly connecting Raman circular dichroism to magnon band Berry curvature.
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Effective electron coupling to phonon mechanical angular momentum in helical systems
Phonon mechanical angular momentum converts to electronic degrees of freedom via a derived second-order Hamiltonian in helical systems.
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Fine Structures of Berry Curvature and Unquantized Valley Chern Numbers in Valley Photonic Crystals
Valley Chern numbers in photonic crystals form a continuous spectrum rather than being quantized, due to inter- and intra-valley Berry curvature cancellations.
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Nonlinear Hall Effect in Metal-Organic Frameworks
C3-symmetric MOFs map via analytical downfolding to star- and honeycomb-lattice models whose gapped Dirac cones produce Berry-curvature hot spots that enable tunable nonlinear Hall transport through synthetic pathways.
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Probing persistent spin textures through nonlinear magnetotransport
Persistent spin textures isolate spin-rotation quantum geometry in nonlinear magnetotransport, yielding direction-independent responses as a distinctive signature even with symmetry-breaking terms.
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Nonadiabatic Wave-Packet Dynamics: Nonadiabatic Metric, Quantum Geometry, and Gravitational Analogy
Extending the wave-packet ansatz for Bloch electrons to include interband contributions and applying the time-dependent variational principle yields leading-order nonadiabatic corrections to the Lagrangian, including an energy-gap-renormalized quantum metric that recasts dynamics as geodesic motion.
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Landauer-based study of transport in Chern insulator heterostructures
Klein tunneling persists in a gapped Chern-insulator heterostructure due to Dirac mass inversion at the trivial-topological interfaces, producing explicit expressions for temperature-dependent linear and nonlinear conductances.
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Nonlinear thermal and thermoelectric transport from quantum geometry
Nonlinear thermal and thermoelectric responses are shown to encode quantum geometry and satisfy relations parallel to the Wiedemann-Franz and Mott laws in systems with broken symmetries.
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Reevaluating Quantum Geometric Criteria for Itinerant Magnetic Instabilities
Magnetic instabilities in generic two-orbital systems are governed by the full interplay of the bare susceptibility tensor and spin interaction matrix, not solely by the quantum geometry of a single-channel susceptibility.
- Covariant formulation of the Berry connection in non-Hermitian systems