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 phonons tune it to a deconfined critical point.
Density waves in strongly correlated quantum chains
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abstract
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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Competing Dirac masses in one dimension: Symmetry-enhanced pseudo-first-order transition and deconfined criticality
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 phonons tune it to a deconfined critical point.