Exact Universal Amplitude Ratios for Two-Dimensional Ising Models and a Quantum Spin Chain

Details Exact Universal Amplitude Ratios for Two-Dimensional Ising Models and a Quantum Spin Chain Exact Universal Amplitude Ratios for Two-Dimensional Ising Models and a Quantum Spin Chain

2000-09-07

arxiv.org/abs/cond-mat/0009102v2

Physical Review Letters, 86, 5160 (2001)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 1 table, REVTeX

Scientific paper

10.1103/PhysRevLett.86.5160

We have derived analytic expressions for the amplitudes of correction terms in the critical free energy and inverse correlation length expansions for square, honeycomb, and plane-triangular lattices in strip geometry. We have found that ratio of amplitudes for all of these lattices is universal. We have also obtained similar expansions for the ground state energy and the first energy gap of a critical quantum spin chain and find that the amplitude ratios have the same values.

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