Competing Orders and Unconventional Criticality in the Su-Schrieffer-Heeger Model

Abstract

The phase diagram of the one-dimensional Su-Schrieffer-Heeger model of spinless fermions coupled to quantum phonons is determined by quantum Monte Carlo simulations. It differs significantly from previous work. In addition to Luttinger liquid and bond-order-wave (BOW) phases, we find an extended charge-density-wave (CDW) phase. Because of different broken symmetries, BOW and CDW phases are connected by a retardation-driven phase transition. Our results are consistent with the theory of the frustrated $XXZ$ chain, including unconventional power-law exponents at criticality, and an interpretation in terms of deconfined quantum criticality via proliferation of solitons.

arXiv comment12 pages 9 figures, including appendices

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• Quantum Monte Carlo Simulations of the 2D Su-Schrieffer-Heeger Model
• Phases of the (2+1) dimensional SO(5) non-linear sigma model with topological term
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• Antiferromagnetism induced by electron-phonon-coupling
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• Robustness of Antiferromagnetism in the Su-Schrieffer-Heeger-Hubbard model
• Quantum Monte Carlo simulation of spin-boson models using wormhole updates
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• The Chiral Gross-Neveu model on the lattice via a Landau-forbidden phase transition