The one-dimensional Holstein model and Holstein-Hubbard model have no nontrivial local conserved quantities other than the Hamiltonian and total fermion number.
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20 Pith papers cite this work. Polarity classification is still indexing.
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cond-mat.mes-hall 6 cond-mat.str-el 5 physics.optics 3 quant-ph 3 cond-mat.dis-nn 1 cond-mat.quant-gas 1 cond-mat.stat-mech 1roles
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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.
A semi-Dirac Chern insulator model yields chiral edge states with cubic dispersion E(k) ∝ k³ instead of the usual linear form.
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.
Experimental demonstration of erratic non-Hermitian skin effect in phononic crystals where localization peaks align with cumulative gauge field maxima independent of excitation position.
Laser-driven cooperative dipole-dipole interactions cause free-space atomic arrays to spontaneously form topologically nontrivial dimerized linear chains and self-contracted or expanded ring geometries even from initial separations larger than the transition wavelength.
Incoherent light enables selective excitation of topological edge states in non-Hermitian resonant systems, demonstrated experimentally in silicon ring resonators without phase control.
Surface fRG extension shows d-wave superconductivity from the 2D Hubbard model persists across most interlayer couplings but splits into two regimes separated by a narrow region of incommensurate spin-density-wave and spin-bond order at intermediate couplings.
Non-Hermitian knot topology exhibits first-order transitions that mirror Hermitian topological phase transitions when singular values are matched to Hermitian eigenvalues, without exceptional points.
A dimerized ULH texture in liquid crystal microcavities realizes two voltage-tunable coupled SSH chains with orthogonal polarizations as pseudospin.
Non-Abelian multigap topology with Euler class invariants in kagome NHC MOFs induces a controllable magnetononlinear Hall effect.
Junction-localized states are ubiquitous in graphite stacking junctions, with flat bands supported in nearly all configurations and nascent flat bands extending the effect into pure Bernal stacking.
A many-body winding invariant based on Pancharatnam phases uniquely determines the 4^ν entanglement-spectrum degeneracy scaling in interacting generalized SSH chains, establishing symmetry-protected bulk-boundary correspondence.
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.
The information lattice distinguishes metals from insulators via power-law versus exponential decay of information per scale in 1D tight-binding models.
Derivative of Krylov spread complexity diverges logarithmically at SSH topological transitions and is bounded by fidelity susceptibility in general two-band Hamiltonians, with a non-unitary duality between phases.
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.
Cumulant expansion in the independent-particle approximation accurately calculates charge mobility for weak to moderate electron-phonon coupling in Peierls and Fröhlich models, as validated against Boltzmann and Migdal approaches.
A review summarizing theoretical and experimental progress on disorder-induced topological phases including TAIs, quasiperiodic extensions, non-Hermitian systems, and many-body realizations.
citing papers explorer
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Incoherence-assisted mode excitation in non-Hermitian resonant systems
Incoherent light enables selective excitation of topological edge states in non-Hermitian resonant systems, demonstrated experimentally in silicon ring resonators without phase control.
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Engineering Tunable Synthetic Su-Schrieffer-Heeger Chains in Liquid Crystal Microcavities
A dimerized ULH texture in liquid crystal microcavities realizes two voltage-tunable coupled SSH chains with orthogonal polarizations as pseudospin.
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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.