$Robust Topological Order in Fermionic Z_{2} Gauge Theories: From Aharonov-Bohm Instability to Soliton-Induced Deconfinement$
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Robust Topological Order in Fermionic Z_{2} Gauge Theories: From Aharonov-Bohm Instability to Soliton-Induced Deconfinement

Topologically ordered phases of matter, although stable against local perturbations, are usually restricted to relatively small regions in phase diagrams. Thus, their preparation requires a precise fine-tunning of the system’s parameters, a very challenging task in most experimental setups. In this...

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Autores principales:	Daniel González-Cuadra, Luca Tagliacozzo, Maciej Lewenstein, Alejandro Bermudez
Formato:	article
Lenguaje:	EN
Publicado:	American Physical Society 2020
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/5f19bca3bca245f0a2a34773d6b7f33c
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spelling	oai:doaj.org-article:5f19bca3bca245f0a2a34773d6b7f33c2021-12-02T12:35:40ZRobust Topological Order in Fermionic Z_{2} Gauge Theories: From Aharonov-Bohm Instability to Soliton-Induced Deconfinement10.1103/PhysRevX.10.0410072160-3308https://doaj.org/article/5f19bca3bca245f0a2a34773d6b7f33c2020-10-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.10.041007http://doi.org/10.1103/PhysRevX.10.041007https://doaj.org/toc/2160-3308Topologically ordered phases of matter, although stable against local perturbations, are usually restricted to relatively small regions in phase diagrams. Thus, their preparation requires a precise fine-tunning of the system’s parameters, a very challenging task in most experimental setups. In this work, we investigate a model of spinless fermions interacting with dynamical Z_{2} gauge fields on a cross-linked ladder and show evidence of topological order throughout the full parameter space. In particular, we show how a magnetic flux is spontaneously generated through the ladder due to an Aharonov-Bohm instability, giving rise to topological order even in the absence of a plaquette term. Moreover, the latter coexists here with a symmetry-protected topological phase in the matter sector, which displays fractionalized gauge-matter edge states and intertwines with it by a flux-threading phenomenon. Finally, we unveil the robustness of these features through a gauge frustration mechanism, akin to geometric frustration in spin liquids, allowing topological order to survive to arbitrarily large quantum fluctuations. In particular, we show how, at finite chemical potential, topological solitons are created in the gauge field configuration, which bound to fermions and form Z_{2} deconfined quasiparticles. The simplicity of the model makes it an ideal candidate for 2D gauge theory phenomena, as well as exotic topological effects, to be investigated using cold-atom quantum simulators.Daniel González-CuadraLuca TagliacozzoMaciej LewensteinAlejandro BermudezAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 10, Iss 4, p 041007 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Daniel González-Cuadra Luca Tagliacozzo Maciej Lewenstein Alejandro Bermudez Robust Topological Order in Fermionic Z_{2} Gauge Theories: From Aharonov-Bohm Instability to Soliton-Induced Deconfinement
description	Topologically ordered phases of matter, although stable against local perturbations, are usually restricted to relatively small regions in phase diagrams. Thus, their preparation requires a precise fine-tunning of the system’s parameters, a very challenging task in most experimental setups. In this work, we investigate a model of spinless fermions interacting with dynamical Z_{2} gauge fields on a cross-linked ladder and show evidence of topological order throughout the full parameter space. In particular, we show how a magnetic flux is spontaneously generated through the ladder due to an Aharonov-Bohm instability, giving rise to topological order even in the absence of a plaquette term. Moreover, the latter coexists here with a symmetry-protected topological phase in the matter sector, which displays fractionalized gauge-matter edge states and intertwines with it by a flux-threading phenomenon. Finally, we unveil the robustness of these features through a gauge frustration mechanism, akin to geometric frustration in spin liquids, allowing topological order to survive to arbitrarily large quantum fluctuations. In particular, we show how, at finite chemical potential, topological solitons are created in the gauge field configuration, which bound to fermions and form Z_{2} deconfined quasiparticles. The simplicity of the model makes it an ideal candidate for 2D gauge theory phenomena, as well as exotic topological effects, to be investigated using cold-atom quantum simulators.
format	article
author	Daniel González-Cuadra Luca Tagliacozzo Maciej Lewenstein Alejandro Bermudez
author_facet	Daniel González-Cuadra Luca Tagliacozzo Maciej Lewenstein Alejandro Bermudez
author_sort	Daniel González-Cuadra
title	Robust Topological Order in Fermionic Z_{2} Gauge Theories: From Aharonov-Bohm Instability to Soliton-Induced Deconfinement
title_short	Robust Topological Order in Fermionic Z_{2} Gauge Theories: From Aharonov-Bohm Instability to Soliton-Induced Deconfinement
title_full	Robust Topological Order in Fermionic Z_{2} Gauge Theories: From Aharonov-Bohm Instability to Soliton-Induced Deconfinement
title_fullStr	Robust Topological Order in Fermionic Z_{2} Gauge Theories: From Aharonov-Bohm Instability to Soliton-Induced Deconfinement
title_full_unstemmed	Robust Topological Order in Fermionic Z_{2} Gauge Theories: From Aharonov-Bohm Instability to Soliton-Induced Deconfinement
title_sort	robust topological order in fermionic z_{2} gauge theories: from aharonov-bohm instability to soliton-induced deconfinement
publisher	American Physical Society
publishDate	2020
url	https://doaj.org/article/5f19bca3bca245f0a2a34773d6b7f33c
work_keys_str_mv	AT danielgonzalezcuadra robusttopologicalorderinfermionicz2gaugetheoriesfromaharonovbohminstabilitytosolitoninduceddeconfinement AT lucatagliacozzo robusttopologicalorderinfermionicz2gaugetheoriesfromaharonovbohminstabilitytosolitoninduceddeconfinement AT maciejlewenstein robusttopologicalorderinfermionicz2gaugetheoriesfromaharonovbohminstabilitytosolitoninduceddeconfinement AT alejandrobermudez robusttopologicalorderinfermionicz2gaugetheoriesfromaharonovbohminstabilitytosolitoninduceddeconfinement
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Robust Topological Order in Fermionic Z_{2} Gauge Theories: From Aharonov-Bohm Instability to Soliton-Induced Deconfinement

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