A semi-Dirac Chern insulator model yields chiral edge states with cubic dispersion E(k) ∝ k³ instead of the usual linear form.
Zak, Berry’s phase for energy bands in solids, Phys
7 Pith papers cite this work. Polarity classification is still indexing.
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Floquet engineering via quantum resonances in periodically driven rotors enables analytical control of tight-binding parameters in momentum-space lattices, experimentally realized with a Bose-Einstein condensate to simulate the Rice-Mele model and related configurations.
Local twist operators and a purity-gap-based chiral marker provide practical real-space indicators of topology in finite-temperature mixed states of the SSH model.
In a dimerized staggered Hubbard ring at half filling, the many-body Wilson loop satisfies the exact identity W(-δ) = W(δ)* even in regimes where the Berry phase is unquantized and varies continuously.
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.
Non-Hermitian Berry phases in time-varying media have a quantized real part due to symmetry, giving a topological index for systems including a non-Hermitian Su-Schrieffer-Heeger model.
Cavity-mediated interactions in an effective SSH Hamiltonian produce consistent topological phase diagrams across three markers, confirming edge states via correlations.
citing papers explorer
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Cubic edge dispersion in a semi-Dirac Chern insulator
A semi-Dirac Chern insulator model yields chiral edge states with cubic dispersion E(k) ∝ k³ instead of the usual linear form.
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Floquet engineering of tight-binding Hamiltonians in momentum space lattices
Floquet engineering via quantum resonances in periodically driven rotors enables analytical control of tight-binding parameters in momentum-space lattices, experimentally realized with a Bose-Einstein condensate to simulate the Rice-Mele model and related configurations.
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Characterizing topology at nonzero temperature: Topological invariants and indicators in the extended SSH model
Local twist operators and a purity-gap-based chiral marker provide practical real-space indicators of topology in finite-temperature mixed states of the SSH model.
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An Exact Conjugation Identity for the Many-Body Wilson-Loop Beyond Quantization
In a dimerized staggered Hubbard ring at half filling, the many-body Wilson loop satisfies the exact identity W(-δ) = W(δ)* even in regimes where the Berry phase is unquantized and varies continuously.
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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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Partial Quantisation of Non-Hermitian Berry Phases in Time-Varying Media
Non-Hermitian Berry phases in time-varying media have a quantized real part due to symmetry, giving a topological index for systems including a non-Hermitian Su-Schrieffer-Heeger model.
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Topological markers for a one-dimensional fermionic chain coupled to a single-mode cavity
Cavity-mediated interactions in an effective SSH Hamiltonian produce consistent topological phase diagrams across three markers, confirming edge states via correlations.