Hidden Fermi Liquidity and Topological Criticality in the Finite Temperature Kitaev Model
The fate of exotic spin liquid states with fractionalized excitations at finite temperature ($T$) is of great interest, since signatures of fractionalization manifest in finite-temperature ($T$) dynamics in real systems, above the tiny magnetic ordering scales. Here, we study a Jordan-Wigner fermion...
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creator | Pradhan, Subhasree Laad, M. S Ray, Avijeet Maitra, T Taraphder, A |
description | The fate of exotic spin liquid states with fractionalized excitations at
finite temperature ($T$) is of great interest, since signatures of
fractionalization manifest in finite-temperature ($T$) dynamics in real
systems, above the tiny magnetic ordering scales. Here, we study a
Jordan-Wigner fermionized Kitaev spin liquid at finite $T$ employing combined
Exact diagonalization and Monte Carlo simulation methods. We uncover $(i)$
checkerboard or stripy-ordered flux crystals depending on density of flux, and
$(ii)$ establish, surprisingly, that: $(a)$ the finite-$T$ version of the $T=0$
transition from a gapless to gapped phases in the Kitaev model is a Mott
transition of the fermions, belonging to the two-dimensional Ising universality
class. These transitions correspond to a topological transition between a
string condensate and a dilute closed string state $(b)$ the Mott "insulator"
phase is a precise realization of Laughlin's gossamer (here, p-wave)
superconductor (g-SC), and $(c)$ the Kitaev Toric Code phase (TC) is a {\it
fully} Gutzwiller-projected p-wave SC. These findings establish the finite-$T$
QSL phases in the $d = 2$ to be {\it hidden} Fermi liquid(s) of neutral
fermions. |
doi_str_mv | 10.48550/arxiv.1703.08200 |
format | Article |
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finite temperature ($T$) is of great interest, since signatures of
fractionalization manifest in finite-temperature ($T$) dynamics in real
systems, above the tiny magnetic ordering scales. Here, we study a
Jordan-Wigner fermionized Kitaev spin liquid at finite $T$ employing combined
Exact diagonalization and Monte Carlo simulation methods. We uncover $(i)$
checkerboard or stripy-ordered flux crystals depending on density of flux, and
$(ii)$ establish, surprisingly, that: $(a)$ the finite-$T$ version of the $T=0$
transition from a gapless to gapped phases in the Kitaev model is a Mott
transition of the fermions, belonging to the two-dimensional Ising universality
class. These transitions correspond to a topological transition between a
string condensate and a dilute closed string state $(b)$ the Mott "insulator"
phase is a precise realization of Laughlin's gossamer (here, p-wave)
superconductor (g-SC), and $(c)$ the Kitaev Toric Code phase (TC) is a {\it
fully} Gutzwiller-projected p-wave SC. These findings establish the finite-$T$
QSL phases in the $d = 2$ to be {\it hidden} Fermi liquid(s) of neutral
fermions.</description><identifier>DOI: 10.48550/arxiv.1703.08200</identifier><language>eng</language><subject>Physics - Strongly Correlated Electrons</subject><creationdate>2017-03</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,782,887</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1703.08200$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1703.08200$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Pradhan, Subhasree</creatorcontrib><creatorcontrib>Laad, M. S</creatorcontrib><creatorcontrib>Ray, Avijeet</creatorcontrib><creatorcontrib>Maitra, T</creatorcontrib><creatorcontrib>Taraphder, A</creatorcontrib><title>Hidden Fermi Liquidity and Topological Criticality in the Finite Temperature Kitaev Model</title><description>The fate of exotic spin liquid states with fractionalized excitations at
finite temperature ($T$) is of great interest, since signatures of
fractionalization manifest in finite-temperature ($T$) dynamics in real
systems, above the tiny magnetic ordering scales. Here, we study a
Jordan-Wigner fermionized Kitaev spin liquid at finite $T$ employing combined
Exact diagonalization and Monte Carlo simulation methods. We uncover $(i)$
checkerboard or stripy-ordered flux crystals depending on density of flux, and
$(ii)$ establish, surprisingly, that: $(a)$ the finite-$T$ version of the $T=0$
transition from a gapless to gapped phases in the Kitaev model is a Mott
transition of the fermions, belonging to the two-dimensional Ising universality
class. These transitions correspond to a topological transition between a
string condensate and a dilute closed string state $(b)$ the Mott "insulator"
phase is a precise realization of Laughlin's gossamer (here, p-wave)
superconductor (g-SC), and $(c)$ the Kitaev Toric Code phase (TC) is a {\it
fully} Gutzwiller-projected p-wave SC. These findings establish the finite-$T$
QSL phases in the $d = 2$ to be {\it hidden} Fermi liquid(s) of neutral
fermions.</description><subject>Physics - Strongly Correlated Electrons</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotz71OwzAUBWAvDKjwAEz4BRLsOKntEUWEIoJYsjBFt_Z1uVL-MG5F3x6lMJ0jHelIH2N3UuSlqSrxAPGHTrnUQuXCFEJcs48deY8TbzCOxFv6OpKndOYwed7NyzzMB3Iw8DpSWsu60cTTJ_KGJkrIOxwXjJCOEfkrJcATf5s9DjfsKsDwjbf_uWFd89TVu6x9f36pH9sMtlpkUARplPXCgy3QVCGA96ZE69DutUPnwCltjZalUC5ItZW-CEpLYQy4wqgNu_-7vdj6JdII8dyvxv5iVL-DP01O</recordid><startdate>20170323</startdate><enddate>20170323</enddate><creator>Pradhan, Subhasree</creator><creator>Laad, M. S</creator><creator>Ray, Avijeet</creator><creator>Maitra, T</creator><creator>Taraphder, A</creator><scope>GOX</scope></search><sort><creationdate>20170323</creationdate><title>Hidden Fermi Liquidity and Topological Criticality in the Finite Temperature Kitaev Model</title><author>Pradhan, Subhasree ; Laad, M. S ; Ray, Avijeet ; Maitra, T ; Taraphder, A</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a670-a2f1839d0da92e85ffadd84e9ce9b7ceccac379871403cf1361d2f371088ac283</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Physics - Strongly Correlated Electrons</topic><toplevel>online_resources</toplevel><creatorcontrib>Pradhan, Subhasree</creatorcontrib><creatorcontrib>Laad, M. S</creatorcontrib><creatorcontrib>Ray, Avijeet</creatorcontrib><creatorcontrib>Maitra, T</creatorcontrib><creatorcontrib>Taraphder, A</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Pradhan, Subhasree</au><au>Laad, M. S</au><au>Ray, Avijeet</au><au>Maitra, T</au><au>Taraphder, A</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Hidden Fermi Liquidity and Topological Criticality in the Finite Temperature Kitaev Model</atitle><date>2017-03-23</date><risdate>2017</risdate><abstract>The fate of exotic spin liquid states with fractionalized excitations at
finite temperature ($T$) is of great interest, since signatures of
fractionalization manifest in finite-temperature ($T$) dynamics in real
systems, above the tiny magnetic ordering scales. Here, we study a
Jordan-Wigner fermionized Kitaev spin liquid at finite $T$ employing combined
Exact diagonalization and Monte Carlo simulation methods. We uncover $(i)$
checkerboard or stripy-ordered flux crystals depending on density of flux, and
$(ii)$ establish, surprisingly, that: $(a)$ the finite-$T$ version of the $T=0$
transition from a gapless to gapped phases in the Kitaev model is a Mott
transition of the fermions, belonging to the two-dimensional Ising universality
class. These transitions correspond to a topological transition between a
string condensate and a dilute closed string state $(b)$ the Mott "insulator"
phase is a precise realization of Laughlin's gossamer (here, p-wave)
superconductor (g-SC), and $(c)$ the Kitaev Toric Code phase (TC) is a {\it
fully} Gutzwiller-projected p-wave SC. These findings establish the finite-$T$
QSL phases in the $d = 2$ to be {\it hidden} Fermi liquid(s) of neutral
fermions.</abstract><doi>10.48550/arxiv.1703.08200</doi><oa>free_for_read</oa></addata></record> |
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subjects | Physics - Strongly Correlated Electrons |
title | Hidden Fermi Liquidity and Topological Criticality in the Finite Temperature Kitaev Model |
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