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Density waves in strongly correlated quantum chains

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arxiv 1706.00470 v1 pith:NQYNDK76 submitted 2017-06-01 cond-mat.str-el cond-mat.mtrl-scicond-mat.quant-gas

classification cond-mat.str-elcond-mat.mtrl-scicond-mat.quant-gas
keywords quantummodelsanyonbandschainscompetingcorrelatedcovered
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We review exact numerical results for one-dimensional quantum systems with half-filled bands. The topics covered include Peierls transitions in Holstein, Fr\"ohlich, Su-Schrieffer-Heeger, and Heisenberg models with quantum phonons, competing fermion-boson and fermion-fermion interactions, as well as symmetry-protected topological states in fermion and anyon models.

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  1. Competing Dirac masses in one dimension: Symmetry-enhanced pseudo-first-order transition and deconfined criticality

    cond-mat.str-el 2025-09 conditional novelty 7.0 of 10

    Competing site and bond electron-phonon couplings in one dimension produce a transition that looks first-order with an emergent U(1) symmetry on finite scales, then becomes a narrow coexistence phase, and quantum phon...

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