Spin-spin Correlation in Some Excited States of Transverse Ising Model

Details Spin-spin Correlation in Some Excited States of Transverse Ising Model Spin-spin Correlation in Some Excited States of Transverse Ising Model

2007-04-13

arxiv.org/abs/0704.1718v1

J. Phys. A: Math. Theor. 40 (2007) 5231-5239

Physics

Condensed Matter

Statistical Mechanics

5 pages, 1 figure

Scientific paper

10.1088/1751-8113/40/20/001

We consider the transverse Ising model in one dimension with nearest-neighbour interaction and calculate exactly the longitudinal spin-spin correlation for a class of excited states. These states are known to play an important role in the perturbative treatment of one-dimensional transverse Ising model with frustrated second-neighbour interaction. To calculate the correlation, we follow the earlier procedure of Wu, use Szego's theorem and also use Fisher-Hartwig conjecture. The result is that the correlation decays algebraically with distance ($n$) as $1/\surd n$ and is oscillatory or non-oscillatory depending on the magnitude of the transverse field.

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