Landau ordering phase transitions beyond the Landau paradigm

Continuous phase transitions associated with the onset of a spontaneously broken symmetry are thought to be successfully described by the Landau-Ginzburg-Wilson-Fisher theory of fluctuating order parameters. In this work, we show that such transitions can admit new universality classes which cannot...

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Main Authors: Zhen Bi, Ethan Lake, T. Senthil
Format: Article
Language:English
Published: American Physical Society 2020-04-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.023031
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author Zhen Bi
Ethan Lake
T. Senthil
author_facet Zhen Bi
Ethan Lake
T. Senthil
author_sort Zhen Bi
collection DOAJ
description Continuous phase transitions associated with the onset of a spontaneously broken symmetry are thought to be successfully described by the Landau-Ginzburg-Wilson-Fisher theory of fluctuating order parameters. In this work, we show that such transitions can admit new universality classes which cannot be understood in terms of a theory of order parameter fluctuations. We explicitly demonstrate continuous time reversal symmetry breaking quantum phase transitions of 3+1-D bosonic systems described by critical theories expressed in terms of a deconfined gauge theory with massless Dirac fermions instead of the fluctuating Ising order parameter. We dub such phase transitions “Landau transitions beyond Landau description” (LBL). A key feature of our examples is that the stability of the LBL fixed points requires a crucial global symmetry, which is nonanomalous, unbroken, and renders no symmetry protected topological phase throughout the phase diagram. Despite this, there are elementary critical fluctuations of the phase transition that transform projectively under this symmetry group. We also construct examples of other novel quantum critical phenomena, notably a continuous Landau-forbidden deconfined critical point between two Landau-allowed phases in 3+1-D.
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spelling doaj.art-f3abe652a6f349ca9e7b93ccfad4d4a32024-04-12T16:52:33ZengAmerican Physical SocietyPhysical Review Research2643-15642020-04-012202303110.1103/PhysRevResearch.2.023031Landau ordering phase transitions beyond the Landau paradigmZhen BiEthan LakeT. SenthilContinuous phase transitions associated with the onset of a spontaneously broken symmetry are thought to be successfully described by the Landau-Ginzburg-Wilson-Fisher theory of fluctuating order parameters. In this work, we show that such transitions can admit new universality classes which cannot be understood in terms of a theory of order parameter fluctuations. We explicitly demonstrate continuous time reversal symmetry breaking quantum phase transitions of 3+1-D bosonic systems described by critical theories expressed in terms of a deconfined gauge theory with massless Dirac fermions instead of the fluctuating Ising order parameter. We dub such phase transitions “Landau transitions beyond Landau description” (LBL). A key feature of our examples is that the stability of the LBL fixed points requires a crucial global symmetry, which is nonanomalous, unbroken, and renders no symmetry protected topological phase throughout the phase diagram. Despite this, there are elementary critical fluctuations of the phase transition that transform projectively under this symmetry group. We also construct examples of other novel quantum critical phenomena, notably a continuous Landau-forbidden deconfined critical point between two Landau-allowed phases in 3+1-D.http://doi.org/10.1103/PhysRevResearch.2.023031
spellingShingle Zhen Bi
Ethan Lake
T. Senthil
Landau ordering phase transitions beyond the Landau paradigm
Physical Review Research
title Landau ordering phase transitions beyond the Landau paradigm
title_full Landau ordering phase transitions beyond the Landau paradigm
title_fullStr Landau ordering phase transitions beyond the Landau paradigm
title_full_unstemmed Landau ordering phase transitions beyond the Landau paradigm
title_short Landau ordering phase transitions beyond the Landau paradigm
title_sort landau ordering phase transitions beyond the landau paradigm
url http://doi.org/10.1103/PhysRevResearch.2.023031
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