Deconfined metallic quantum criticality: A U(2) gauge-theoretic approach

We discuss a new class of quantum phase transitions—deconfined Mott transition (DMT)—that describe a continuous transition between a Fermi liquid metal with a generic electronic Fermi surface and an electrical insulator without Fermi surfaces of emergent neutral excitations. We construct a unified U...

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Main Authors: Liujun Zou, Debanjan Chowdhury
Format: Article
Language:English
Published: American Physical Society 2020-06-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.023344
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author Liujun Zou
Debanjan Chowdhury
author_facet Liujun Zou
Debanjan Chowdhury
author_sort Liujun Zou
collection DOAJ
description We discuss a new class of quantum phase transitions—deconfined Mott transition (DMT)—that describe a continuous transition between a Fermi liquid metal with a generic electronic Fermi surface and an electrical insulator without Fermi surfaces of emergent neutral excitations. We construct a unified U(2) gauge theory to describe a variety of metallic and insulating phases, which include Fermi liquids, fractionalized Fermi liquids (FL*), conventional insulators, and quantum spin liquids, as well as the quantum phase transitions between them. Using the DMT as a basic building block, we propose a distinct quantum phase transition—deconfined metal-metal transition (DM^{2}T)—that describes a continuous transition between two metallic phases, accompanied by a jump in the size of their electronic Fermi surfaces (also dubbed a ‘Fermi transition'). We study these new classes of deconfined metallic quantum critical points using a renormalization group framework at the leading nontrivial order in a controlled expansion and comment on the various interesting scenarios that can emerge going beyond this leading order calculation. We also study a U(1)×U(1) gauge theory that shares a number of similarities with the U(2) gauge theory and sheds important light on many phenomena related to DMT, DM^{2}T, and quantum spin liquids.
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spelling doaj.art-013ac635ba5d4ab99fb4f08c945074132024-04-12T16:55:45ZengAmerican Physical SocietyPhysical Review Research2643-15642020-06-012202334410.1103/PhysRevResearch.2.023344Deconfined metallic quantum criticality: A U(2) gauge-theoretic approachLiujun ZouDebanjan ChowdhuryWe discuss a new class of quantum phase transitions—deconfined Mott transition (DMT)—that describe a continuous transition between a Fermi liquid metal with a generic electronic Fermi surface and an electrical insulator without Fermi surfaces of emergent neutral excitations. We construct a unified U(2) gauge theory to describe a variety of metallic and insulating phases, which include Fermi liquids, fractionalized Fermi liquids (FL*), conventional insulators, and quantum spin liquids, as well as the quantum phase transitions between them. Using the DMT as a basic building block, we propose a distinct quantum phase transition—deconfined metal-metal transition (DM^{2}T)—that describes a continuous transition between two metallic phases, accompanied by a jump in the size of their electronic Fermi surfaces (also dubbed a ‘Fermi transition'). We study these new classes of deconfined metallic quantum critical points using a renormalization group framework at the leading nontrivial order in a controlled expansion and comment on the various interesting scenarios that can emerge going beyond this leading order calculation. We also study a U(1)×U(1) gauge theory that shares a number of similarities with the U(2) gauge theory and sheds important light on many phenomena related to DMT, DM^{2}T, and quantum spin liquids.http://doi.org/10.1103/PhysRevResearch.2.023344
spellingShingle Liujun Zou
Debanjan Chowdhury
Deconfined metallic quantum criticality: A U(2) gauge-theoretic approach
Physical Review Research
title Deconfined metallic quantum criticality: A U(2) gauge-theoretic approach
title_full Deconfined metallic quantum criticality: A U(2) gauge-theoretic approach
title_fullStr Deconfined metallic quantum criticality: A U(2) gauge-theoretic approach
title_full_unstemmed Deconfined metallic quantum criticality: A U(2) gauge-theoretic approach
title_short Deconfined metallic quantum criticality: A U(2) gauge-theoretic approach
title_sort deconfined metallic quantum criticality a u 2 gauge theoretic approach
url http://doi.org/10.1103/PhysRevResearch.2.023344
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AT debanjanchowdhury deconfinedmetallicquantumcriticalityau2gaugetheoreticapproach