Fixed-node Monte Carlo calculations for the 1d Kondo lattice model

H.J.M.van Bemmel, W.van Saarloos and D.F.B.ten Haaf

Physica A: Statistical Mechanics and its Applications, 1998, vol. 251, issue 1, 143-161

Abstract: The effectiveness of the recently developed Fixed-Node Quantum Monte Carlo method for lattice fermions, developed by van Leeuwen and co-workers, is tested by applying it to the 1d Kondo lattice, an example of a one-dimensional model with a sign problem. The principles of this method and its implementation for the Kondo lattice model are discussed in detail. We compare the fixed-node upper bound for the ground-state energy at half filling with exact-diagonalization results from the literature, and determine several spin correlation functions. Our ‘best estimates’ for the ground-state correlation functions do not depend sensitively on the input trial wave function of the fixed-node projection, and are reasonably close to the exact values. We also calculate the spin gap of the model with the Fixed-Node Monte Carlo method. For this it is necessary to use a many-Slater-determinant trial state. The lowest-energy spin excitation is a running spin soliton with wave number π, in agreement with earlier calculations.

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:251:y:1998:i:1:p:143-161

DOI: 10.1016/S0378-4371(97)00601-8

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