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      Finite-Size Scaling Exponents of the Lipkin-Meshkov-Glick Model

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          Abstract

          We study the ground state properties of the critical Lipkin-Meshkov-Glick model. Using the Holstein-Primakoff boson representation, and the continuous unitary transformation technique, we compute explicitly the finite-size scaling exponents for the energy gap, the ground state energy, the magnetization, and the spin-spin correlation functions. Finally, we discuss the behavior of the two-spin entanglement in the vicinity of the phase transition.

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          Author and article information

          Journal
          30 August 2004
          2004-12-01
          Article
          10.1103/PhysRevLett.93.237204
          cond-mat/0408624
          83bfa0a9-1bfa-4df5-8da5-d747250d40a2
          History
          Custom metadata
          Phys. Rev. Lett. 93, 237204 (2004)
          4 pages, published version
          cond-mat.stat-mech nucl-th quant-ph

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