Continuous unitary transformations and finite-size scaling exponents in the Lipkin-Meshkov-Glick model

Details Continuous unitary transformations and finite-size scaling exponents in the Lipkin-Meshkov-Glick model Continuous unitary transformations and finite-size scaling exponents in the Lipkin-Meshkov-Glick model

2004-12-06

arxiv.org/abs/cond-mat/0412127v2

Phys. Rev. B 71, 224420 (2005)

Physics

Condensed Matter

Statistical Mechanics

20 pages, 9 figures, published version

Scientific paper

10.1103/PhysRevB.71.224420

We analyze the finite-size scaling exponents in the Lipkin-Meshkov-Glick model by means of the Holstein-Primakoff representation of the spin operators and the continuous unitary transformations method. This combination allows us to compute analytically leading corrections to the ground state energy, the gap, the magnetization, and the two-spin correlation functions. We also present numerical calculations for large system size which confirm the validity of this approach. Finally, we use these results to discuss the entanglement properties of the ground state focusing on the (rescaled) concurrence that we compute in the thermodynamical limit.

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