Search for the Heisenberg spin glass on rewired square lattices with antiferromagnetic interaction
Spin glass (SG) is a typical magnetic system with frozen random spin orientation at low temperatures. The system exhibits rich physical properties, such as infinite number of ground states, memory effect and aging phenomena. There are two main ingredients considered to be pivotal for the existence o...
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| description | Spin glass (SG) is a typical magnetic system with frozen random spin orientation at low temperatures. The system exhibits rich physical properties, such as infinite number of ground states, memory effect and aging phenomena. There are two main ingredients considered to be pivotal for the existence of SG behavior, namely, frustration and randomness. For the canonical SG system, frustration is led by the presence of competing interaction between ferromagnetic (FM) and antiferromagnetic (AF) couplings. Previously, Bartolozzi {\it et al.} [ Phys. Rev. B{\bf 73}, 224419 (2006)], reported the SG properties of the AF Ising spins on scale free network (SFN). It is a new type of SG, different from the canonical one which requires the presence of both FM and AF couplings. In this new system, frustration is purely caused by the topological factor and its randomness is related to the irregular connectvity. Recently, Surungan {\it et. al.} [Journal of Physics: Conference Series 640, 012001 (2015)] reported SG bahavior of AF Heisenberg model on SFN. We further investigate this type of system by studying an AF Heisenberg model on rewired square lattices. We used Replica Exchange algorithm of Monte Carlo Method and calculated the SG order parameter to search for the existence of SG phase. |
| doi_str_mv | 10.48550/arxiv.1510.03825 |
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The system exhibits rich physical properties, such as infinite number of ground states, memory effect and aging phenomena. There are two main ingredients considered to be pivotal for the existence of SG behavior, namely, frustration and randomness. For the canonical SG system, frustration is led by the presence of competing interaction between ferromagnetic (FM) and antiferromagnetic (AF) couplings. Previously, Bartolozzi {\it et al.} [ Phys. Rev. B{\bf 73}, 224419 (2006)], reported the SG properties of the AF Ising spins on scale free network (SFN). It is a new type of SG, different from the canonical one which requires the presence of both FM and AF couplings. In this new system, frustration is purely caused by the topological factor and its randomness is related to the irregular connectvity. Recently, Surungan {\it et. al.} [Journal of Physics: Conference Series 640, 012001 (2015)] reported SG bahavior of AF Heisenberg model on SFN. We further investigate this type of system by studying an AF Heisenberg model on rewired square lattices. We used Replica Exchange algorithm of Monte Carlo Method and calculated the SG order parameter to search for the existence of SG phase.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.1510.03825</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Algorithms ; Antiferromagnetism ; Computer simulation ; Couplings ; Ferromagnetism ; Frustration ; Heisenberg theory ; Ising model ; Lattices ; Monte Carlo simulation ; Order parameters ; Physical properties ; Physics - Disordered Systems and Neural Networks ; Physics - Statistical Mechanics ; Randomness ; Spin glasses ; Statistical models</subject><ispartof>arXiv.org, 2015-10</ispartof><rights>2015. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). 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We further investigate this type of system by studying an AF Heisenberg model on rewired square lattices. We used Replica Exchange algorithm of Monte Carlo Method and calculated the SG order parameter to search for the existence of SG phase.</description><subject>Algorithms</subject><subject>Antiferromagnetism</subject><subject>Computer simulation</subject><subject>Couplings</subject><subject>Ferromagnetism</subject><subject>Frustration</subject><subject>Heisenberg theory</subject><subject>Ising model</subject><subject>Lattices</subject><subject>Monte Carlo simulation</subject><subject>Order parameters</subject><subject>Physical properties</subject><subject>Physics - Disordered Systems and Neural Networks</subject><subject>Physics - Statistical Mechanics</subject><subject>Randomness</subject><subject>Spin glasses</subject><subject>Statistical models</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GOX</sourceid><recordid>eNotkE1rAjEQhkOhULH-gJ4a6Hnt5Dt7LNIvEHqo9yVmZzWiWU1ibf99t9rTO7zzMAwPIXcMptIqBY8ufYevKVNDAcJydUVGXAhWWcn5DZnkvAEArg1XSozI8hNd8mva9YmWNdI3DBnjEtOK5n2IdLV1OdM-0oSnkLCl-XB0CenWlRI8ZnoKZU1dLKHDlPqdW0UcFjTEgsn5Evp4S647t804-c8xWbw8L2Zv1fzj9X32NK-c4rbynYS6ZVL4tlOSGdDGCANLtNrXbec9cKNRalsrzTQH5HUNXAplDbRsGMbk_nL2LKDZp7Bz6af5E9GcRQzEw4XYp_5wxFyaTX9Mcfip4WBMbQd_VvwCNLtgtQ</recordid><startdate>20151013</startdate><enddate>20151013</enddate><creator>Surungan, Tasrief</creator><creator>Bansawang, B J</creator><creator>Dahlang Tahir</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PTHSS</scope><scope>GOX</scope></search><sort><creationdate>20151013</creationdate><title>Search for the Heisenberg spin glass on rewired square lattices with antiferromagnetic interaction</title><author>Surungan, Tasrief ; Bansawang, B J ; Dahlang Tahir</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a528-cf409d143cdf54170677370be86c9dfcc0276e4689561620e29902435870d1243</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Algorithms</topic><topic>Antiferromagnetism</topic><topic>Computer simulation</topic><topic>Couplings</topic><topic>Ferromagnetism</topic><topic>Frustration</topic><topic>Heisenberg theory</topic><topic>Ising model</topic><topic>Lattices</topic><topic>Monte Carlo simulation</topic><topic>Order parameters</topic><topic>Physical properties</topic><topic>Physics - Disordered Systems and Neural Networks</topic><topic>Physics - Statistical Mechanics</topic><topic>Randomness</topic><topic>Spin glasses</topic><topic>Statistical models</topic><toplevel>online_resources</toplevel><creatorcontrib>Surungan, Tasrief</creatorcontrib><creatorcontrib>Bansawang, B J</creatorcontrib><creatorcontrib>Dahlang Tahir</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>Engineering Collection</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Surungan, Tasrief</au><au>Bansawang, B J</au><au>Dahlang Tahir</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Search for the Heisenberg spin glass on rewired square lattices with antiferromagnetic interaction</atitle><jtitle>arXiv.org</jtitle><date>2015-10-13</date><risdate>2015</risdate><eissn>2331-8422</eissn><abstract>Spin glass (SG) is a typical magnetic system with frozen random spin orientation at low temperatures. The system exhibits rich physical properties, such as infinite number of ground states, memory effect and aging phenomena. There are two main ingredients considered to be pivotal for the existence of SG behavior, namely, frustration and randomness. For the canonical SG system, frustration is led by the presence of competing interaction between ferromagnetic (FM) and antiferromagnetic (AF) couplings. Previously, Bartolozzi {\it et al.} [ Phys. Rev. B{\bf 73}, 224419 (2006)], reported the SG properties of the AF Ising spins on scale free network (SFN). It is a new type of SG, different from the canonical one which requires the presence of both FM and AF couplings. In this new system, frustration is purely caused by the topological factor and its randomness is related to the irregular connectvity. Recently, Surungan {\it et. al.} [Journal of Physics: Conference Series 640, 012001 (2015)] reported SG bahavior of AF Heisenberg model on SFN. We further investigate this type of system by studying an AF Heisenberg model on rewired square lattices. We used Replica Exchange algorithm of Monte Carlo Method and calculated the SG order parameter to search for the existence of SG phase.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.1510.03825</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Algorithms Antiferromagnetism Computer simulation Couplings Ferromagnetism Frustration Heisenberg theory Ising model Lattices Monte Carlo simulation Order parameters Physical properties Physics - Disordered Systems and Neural Networks Physics - Statistical Mechanics Randomness Spin glasses Statistical models |
| title | Search for the Heisenberg spin glass on rewired square lattices with antiferromagnetic interaction |
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