Constraint Effective Potential of the Magnetization in the Quantum XY Model

Details Constraint Effective Potential of the Magnetization in the Quantum XY Model Constraint Effective Potential of the Magnetization in the Quantum XY Model

2011-02-16

arxiv.org/abs/1102.3317v1

J.Stat.Mech.1106:P06002,2011

Physics

Condensed Matter

Strongly Correlated Electrons

21 pages, 7 figures

Scientific paper

10.1088/1742-5468/2011/06/P06002

Using an improved estimator in the loop-cluster algorithm, we investigate the constraint effective potential of the magnetization in the spin $\tfrac{1}{2}$ quantum XY model. The numerical results are in excellent agreement with the predictions of the corresponding low-energy effective field theory. After its low-energy parameters have been determined with better than permille precision, the effective theory makes accurate predictions for the constraint effective potential which are in excellent agreement with the Monte Carlo data. This shows that the effective theory indeed describes the physics in the low-energy regime quantitatively correctly.

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