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Quan- tum geometry in quantum materials
18 Pith papers cite this work. Polarity classification is still indexing.
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cond-mat.mes-hall 7 cond-mat.str-el 4 cond-mat.mtrl-sci 2 quant-ph 2 cond-mat.supr-con 1 cs.AI 1 hep-th 1verdicts
UNVERDICTED 18roles
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Photons possess a quantum metric in momentum space that induces a nonlinear Hall effect for light in inhomogeneous media and nonlinear corrections to gravitational lensing from the interplay of position and momentum space geometry.
For 3D Dirac fermions at charge neutrality the diffusion constant is purely quantum geometric in origin because the band velocity contribution cancels exactly, unlike in 2D.
Establishes bound relations between electronic properties in magnetic crystals, including a new lower bound on susceptibility for Chern insulators and generalization of Chern bounds to three dimensions.
Introduces Wilson-loop-ideal bands saturating the quantum metric Wilson-loop bound and a general monotonic flow construction applied to moiré models to achieve low-error ideal states for correlated physics.
Ferromagnetism at singular saddle points via divergent quantum metric and Stoner theory in a 2D t2g-orbital model.
Introduces semi-classical geometric tensor relating quantum geometric tensor to classical Fisher information matrix and proves a sharpened matrix inequality for multiparameter quantum bounds.
Anomalous Hall crystals have stiffness an order of magnitude smaller than Wigner crystals due to finite Chern number, triggering mechanical instability under deformations in rhombohedral pentalayer graphene models.
Perfect elliptic dichroism is proposed as a direct diagnostic for the metric of anisotropic quantum Hall droplets, extending to ideal Chern bands via holomorphicity and to lattice models via renormalized emergent metrics.
Establishes exact equivalence between real-space and non-Bloch integrated quantum metrics for non-Hermitian open-boundary systems and shows the latter gives the gauge-invariant spread of non-Bloch Wannier functions.
Post-quench dynamics of the quantum geometric tensor in 1D periodic systems are governed by initial-state geometric quantities and post-quench band properties such as Berry connection and group velocities, providing a probe for nonequilibrium phenomena.
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.
Interfering two obliquely propagating surface acoustic waves forms a tunable acoustoelectric superlattice in 2D materials, enabling in-situ control of minibands, flat bands, and nontrivial valley Chern numbers in massive monolayer graphene.
Substrate commensuration induces intervalley coupling in TBG, hybridizing flat bands into a p_x-p_y honeycomb model with quadratic touchings that flatten due to frustration and yield topological bands with C up to 4.
Theory for QPI in chiral-band superconductors shows impurity-induced local spectral functions distinguish zero- and finite-momentum pairing states.
Quantum geometric semimetals produce instantaneous steady-state current under electric fields via interband coupling from Hilbert-Schmidt quantum distance and finite density of states at band-touching points, outperforming metals, semiconductors, and graphene in switching speed.
Surface states in 3D class-CI topological lattice models are fragile to Anderson localization via trivializing proximity effect with weak disorder, while continuum Dirac models show disorder-induced healing of criticality.
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.
citing papers explorer
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Quantum geometric ferromagnetism by singular saddle point
Ferromagnetism at singular saddle points via divergent quantum metric and Stoner theory in a 2D t2g-orbital model.
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Elastic Response and Instabilities of Anomalous Hall Crystals
Anomalous Hall crystals have stiffness an order of magnitude smaller than Wigner crystals due to finite Chern number, triggering mechanical instability under deformations in rhombohedral pentalayer graphene models.
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Ultrafast Current Switching from Quantum Geometry in Semimetals
Quantum geometric semimetals produce instantaneous steady-state current under electric fields via interband coupling from Hilbert-Schmidt quantum distance and finite density of states at band-touching points, outperforming metals, semiconductors, and graphene in switching speed.
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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.