Restoration of symmetry in the spectrum of the bilayer Heisenberg antiferromagnet
The longitudinal mode in the Heisenberg model on a bilayer square lattice is studied using series expansion methods. It is demonstrated numerically that the longitudinal mode becomes degenerate with the magnon modes at the quantum phase transition between Neel and dimerized phases, thus forming a sp...
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Veröffentlicht in: | Physical review. B, Condensed matter and materials physics Condensed matter and materials physics, 2012-01, Vol.85 (1), p.014432-014432, Article 014432 |
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creator | Hamer, C. J. Oitmaa, J. Weihong, Zheng |
description | The longitudinal mode in the Heisenberg model on a bilayer square lattice is studied using series expansion methods. It is demonstrated numerically that the longitudinal mode becomes degenerate with the magnon modes at the quantum phase transition between Neel and dimerized phases, thus forming a spin-1 multiplet, in accord with the restoration of SU(2) symmetry. Finally, it is shown that the magnon mode becomes degenerate with the triplet mode in the dimerized phase at the critical point, showing continuity of the excitation spectrum across the critical point. |
doi_str_mv | 10.1103/PhysRevB.85.014432 |
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Finally, it is shown that the magnon mode becomes degenerate with the triplet mode in the dimerized phase at the critical point, showing continuity of the excitation spectrum across the critical point.</description><identifier>ISSN: 1098-0121</identifier><identifier>EISSN: 1550-235X</identifier><identifier>DOI: 10.1103/PhysRevB.85.014432</identifier><language>eng</language><subject>Condensed matter ; Critical point ; Lattice vibration ; Magnons ; Mathematical models ; Phase transformations ; Restoration ; Spin waves ; Symmetry</subject><ispartof>Physical review. 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B, Condensed matter and materials physics</title><description>The longitudinal mode in the Heisenberg model on a bilayer square lattice is studied using series expansion methods. It is demonstrated numerically that the longitudinal mode becomes degenerate with the magnon modes at the quantum phase transition between Neel and dimerized phases, thus forming a spin-1 multiplet, in accord with the restoration of SU(2) symmetry. Finally, it is shown that the magnon mode becomes degenerate with the triplet mode in the dimerized phase at the critical point, showing continuity of the excitation spectrum across the critical point.</description><subject>Condensed matter</subject><subject>Critical point</subject><subject>Lattice vibration</subject><subject>Magnons</subject><subject>Mathematical models</subject><subject>Phase transformations</subject><subject>Restoration</subject><subject>Spin waves</subject><subject>Symmetry</subject><issn>1098-0121</issn><issn>1550-235X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><recordid>eNo1kE1LAzEQhoMoWKt_wNMevWydTJLd7FGLWqGgFgVvIZvOtiv7UZNU2H_vluppZpiHF96HsWsOM85B3L5uh7Cin_uZVjPgUgo8YROuFKQo1OfpuEOhU-DIz9lFCF8wQoXECXtbUYi9t7Huu6SvkjC0LUU_JHWXxC0lYUcu-n17-B3usm7sQD5ZUB2oK8lvEtvFuiLv-9ZuOoqX7KyyTaCrvzllH48P7_NFunx5ep7fLVOHGmJaoqocCgCQvBSlFDIXsBZ2LXQBuXDAM5QaAcsi40LLHFEBYuGsgypbOzFlN8fcne-_92ML09bBUdPYjvp9MDzTKs8gz7IRxSPqfB-Cp8rsfN1aPxgO5uDP_PszWpmjP_EL3aJk1g</recordid><startdate>20120125</startdate><enddate>20120125</enddate><creator>Hamer, C. 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B, Condensed matter and materials physics</jtitle><date>2012-01-25</date><risdate>2012</risdate><volume>85</volume><issue>1</issue><spage>014432</spage><epage>014432</epage><pages>014432-014432</pages><artnum>014432</artnum><issn>1098-0121</issn><eissn>1550-235X</eissn><abstract>The longitudinal mode in the Heisenberg model on a bilayer square lattice is studied using series expansion methods. It is demonstrated numerically that the longitudinal mode becomes degenerate with the magnon modes at the quantum phase transition between Neel and dimerized phases, thus forming a spin-1 multiplet, in accord with the restoration of SU(2) symmetry. Finally, it is shown that the magnon mode becomes degenerate with the triplet mode in the dimerized phase at the critical point, showing continuity of the excitation spectrum across the critical point.</abstract><doi>10.1103/PhysRevB.85.014432</doi><tpages>1</tpages></addata></record> |
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subjects | Condensed matter Critical point Lattice vibration Magnons Mathematical models Phase transformations Restoration Spin waves Symmetry |
title | Restoration of symmetry in the spectrum of the bilayer Heisenberg antiferromagnet |
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