The one-dimensional Holstein model and Holstein-Hubbard model have no nontrivial local conserved quantities other than the Hamiltonian and total fermion number.
Title resolution pending
20 Pith papers cite this work. Polarity classification is still indexing.
20
Pith papers citing it
citation-role summary
background 2
citation-polarity summary
fields
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
background 2polarities
background 2representative citing papers
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
-
Light-induced Self-Organization in Cooperative Free Space Atomic Arrays
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.
-
Emergence of Hermitian topology from non-Hermitian knots
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.
-
Krylov complexity and fidelity susceptibility in two-band Hamiltonians
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.