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      The Lipkin-Meshkov-Glick model: 'quasi-local' quantum criticality in nuclear physics

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          Abstract

          Motivated by recent work on local quantum criticality in condensed matter systems, we study the Lipkin-Meshkov-Glick (LMG) model of nuclear physics as a simple model of a kind of 'quasi-local' quantum criticality. We identify a new crossover temperature, T*(V,W), between linear and nonlinear dynamics, which is analogous to the crossover between the renormalized classical and quantum critical regimes in the condensed-matter case. This temperature T* typically vanishes logarithmically as the quantum phase transition is approached, except near the quantum tricritical point where it becomes linear. We also note a further analogy with condensed-matter quantum criticality: the LMG model exhibits quantum order-by-disorder phenomena, of the type often associated with phase reconstruction near quantum critical points.

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          Author and article information

          Journal
          2011-02-08
          2013-02-14
          Article
          1102.1583
          0216748f-2aca-47a7-abf9-76bb1ce24cfd

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          Custom metadata
          5 pages, 2 figures
          nucl-th cond-mat.str-el

          Condensed matter,Nuclear physics
          Condensed matter, Nuclear physics

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