Loop Algorithms for Asymmetric Hamiltonians

Abstract

Generalized rules for building and flipping clusters in the quantum Monte Carlo loop algorithm are presented for the XXZ-model in a uniform magnetic field along the Z-axis. As is demonstrated for the Heisenberg antiferromagnet it is possible from these rules to select a new algorithm which performs significantly better than the standard loop algorithm in strong magnetic fields at low temperatures.

Replaced measurement of helicity modulus at H=2J with a measurement at H=3.95J + other small changes in the section on numerical results

References in corpus (2)

• Quantum spin chains in a magnetic field
• Universal critical temperature for Kosterlitz-Thouless transitions in bilayer quantum magnets

Cited by in corpus (4)

• Quantum Monte Carlo with Directed Loops
• Field-induced XY behavior in the S=1/2 antiferromagnet on the square lattice
• Spin-spin correlations of the spin-ladder compound (C${}_5$H${}_{12}$N)${}_2$CuBr${}_4$ measured by magnetostriction and comparison to Quantum Monte Carlo results
• Quantum Heisenberg antiferromagnets: a survey of the activity in Firenze