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

S. Dusuel·J. Vidal
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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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BibTeXRIS

S. Dusuel, J. Vidal. 2004-12-01. Finite-Size Scaling Exponents of the Lipkin-Meshkov-Glick Model. https://doi.org/10.1103/physrevlett.93.237204

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