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

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

2004-08-30

arxiv.org/abs/cond-mat/0408624v2

Phys. Rev. Lett. 93, 237204 (2004)

Physics

Condensed Matter

Statistical Mechanics

4 pages, published version

Scientific paper

10.1103/PhysRevLett.93.237204

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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