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

Author

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

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.

Suggested Citation

  • Bemmel, H.J.M.van & Saarloos, W.van & Haaf, D.F.B.ten, 1998. "Fixed-node Monte Carlo calculations for the 1d Kondo lattice model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 251(1), pages 143-161.
    • Handle: RePEc:eee:phsmap:v:251:y:1998:i:1:p:143-161
    DOI: 10.1016/S0378-4371(97)00601-8
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