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arxiv: 1706.00470 · v1 · pith:NQYNDK76new · submitted 2017-06-01 · ❄️ cond-mat.str-el · cond-mat.mtrl-sci· cond-mat.quant-gas

Density waves in strongly correlated quantum chains

classification ❄️ cond-mat.str-el cond-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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