A non-Abelian twist to integer quantum Hall states
Through a theoretical coupled wire model, we construct strongly correlated electronic \emph{integer} quantum Hall states. As a distinguishing feature, these states support electric and thermal Hall transport violating the Wiedemann-Franz law as \(\left(\kappa_{xy}/\sigma_{xy}\right)/\left[\left(\pi^...
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description | Through a theoretical coupled wire model, we construct strongly correlated electronic \emph{integer} quantum Hall states. As a distinguishing feature, these states support electric and thermal Hall transport violating the Wiedemann-Franz law as \(\left(\kappa_{xy}/\sigma_{xy}\right)/\left[\left(\pi^{2}k_{B}^{2}T\right)/3e^{2}\right] |
doi_str_mv | 10.48550/arxiv.1901.09043 |
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As a distinguishing feature, these states support electric and thermal Hall transport violating the Wiedemann-Franz law as \(\left(\kappa_{xy}/\sigma_{xy}\right)/\left[\left(\pi^{2}k_{B}^{2}T\right)/3e^{2}\right]<1\).We propose a new Abelian incompressible fluid at filling \(\nu=16\) that supports a bosonic chiral \((E_{8})_{1}\) conformal field theory at the edge and is intimately related to topological paramagnets in (3+1)D. We further show that this topological phase can be partitioned into two non-Abelian quantum Hall states at filling \(\nu=8\), each carrying bosonic chiral \((G_{2})_{1}\) or \((F_{4})_{1}\) edge theories, and hosting Fibonacci anyonic excitations in the bulk. Finally, we discover a new notion of particle-hole conjugation based on the \(E_{8}\) state that relates the \(G_{2}\) and \(F_{4}\) Fibonacci states.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.1901.09043</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Computational fluid dynamics ; Conjugation ; Electric wire ; Field theory ; Fluid flow ; Incompressible flow ; Incompressible fluids ; Lorenz number ; Physics - Strongly Correlated Electrons ; Quantum theory</subject><ispartof>arXiv.org, 2019-08</ispartof><rights>2019. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). 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As a distinguishing feature, these states support electric and thermal Hall transport violating the Wiedemann-Franz law as \(\left(\kappa_{xy}/\sigma_{xy}\right)/\left[\left(\pi^{2}k_{B}^{2}T\right)/3e^{2}\right]<1\).We propose a new Abelian incompressible fluid at filling \(\nu=16\) that supports a bosonic chiral \((E_{8})_{1}\) conformal field theory at the edge and is intimately related to topological paramagnets in (3+1)D. We further show that this topological phase can be partitioned into two non-Abelian quantum Hall states at filling \(\nu=8\), each carrying bosonic chiral \((G_{2})_{1}\) or \((F_{4})_{1}\) edge theories, and hosting Fibonacci anyonic excitations in the bulk. Finally, we discover a new notion of particle-hole conjugation based on the \(E_{8}\) state that relates the \(G_{2}\) and \(F_{4}\) Fibonacci states.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.1901.09043</doi><oa>free_for_read</oa></addata></record> |
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subjects | Computational fluid dynamics Conjugation Electric wire Field theory Fluid flow Incompressible flow Incompressible fluids Lorenz number Physics - Strongly Correlated Electrons Quantum theory |
title | A non-Abelian twist to integer quantum Hall states |
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