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

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.

4 pages, published version

References in corpus (2)

• Entanglement in a second order quantum phase transition
• Entanglement in a first order quantum phase transition

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