Competing orders and unconventional criticality in the Su-Schrieffer-Heeger model

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 and differs significantly from previous work. In addition to Luttinger liquid and bond-order-wave (BOW) phases, we find an extended cha...

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Main Authors: Manuel Weber, Francesco Parisen Toldin, Martin Hohenadler
Format: Article
Language:English
Published: American Physical Society 2020-04-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.023013
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author Manuel Weber
Francesco Parisen Toldin
Martin Hohenadler
author_facet Manuel Weber
Francesco Parisen Toldin
Martin Hohenadler
author_sort Manuel Weber
collection DOAJ
description 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 and 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 with an interpretation in terms of deconfined quantum criticality via proliferation of solitons.
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spelling doaj.art-83d0fa9503a84bd4a37b3654a4442b502024-04-12T16:52:23ZengAmerican Physical SocietyPhysical Review Research2643-15642020-04-012202301310.1103/PhysRevResearch.2.023013Competing orders and unconventional criticality in the Su-Schrieffer-Heeger modelManuel WeberFrancesco Parisen ToldinMartin HohenadlerThe phase diagram of the one-dimensional Su-Schrieffer-Heeger model of spinless fermions coupled to quantum phonons is determined by quantum Monte Carlo simulations and 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 with an interpretation in terms of deconfined quantum criticality via proliferation of solitons.http://doi.org/10.1103/PhysRevResearch.2.023013
spellingShingle Manuel Weber
Francesco Parisen Toldin
Martin Hohenadler
Competing orders and unconventional criticality in the Su-Schrieffer-Heeger model
Physical Review Research
title Competing orders and unconventional criticality in the Su-Schrieffer-Heeger model
title_full Competing orders and unconventional criticality in the Su-Schrieffer-Heeger model
title_fullStr Competing orders and unconventional criticality in the Su-Schrieffer-Heeger model
title_full_unstemmed Competing orders and unconventional criticality in the Su-Schrieffer-Heeger model
title_short Competing orders and unconventional criticality in the Su-Schrieffer-Heeger model
title_sort competing orders and unconventional criticality in the su schrieffer heeger model
url http://doi.org/10.1103/PhysRevResearch.2.023013
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AT francescoparisentoldin competingordersandunconventionalcriticalityinthesuschriefferheegermodel
AT martinhohenadler competingordersandunconventionalcriticalityinthesuschriefferheegermodel