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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
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American Physical Society
2020-04-01
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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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id | doaj.art-f3abe652a6f349ca9e7b93ccfad4d4a3 |
institution | Directory Open Access Journal |
issn | 2643-1564 |
language | English |
last_indexed | 2024-04-24T10:27:36Z |
publishDate | 2020-04-01 |
publisher | American Physical Society |
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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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