Fixed-Node Monte Carlo Calculations for the 1d Kondo Lattice Model
| dc.creator | van Bemmel, H. J. M. | |
| dc.creator | van Saarloos, W. | |
| dc.creator | Haaf, D. F. B. ten | |
| dc.date | 1998-04-15 | |
| dc.date.accessioned | 2026-07-07T03:10:19Z | |
| dc.date.available | 2026-07-07T03:10:19Z | |
| dc.description | 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 pi, in agreement with earlier calculations. | |
| dc.description | 19 pages, revtex, contribution to Festschrift for Hans van Leeuwen | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9804147 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9804147 | |
| dc.identifier | Physica vol. 251 p. 143 (1998) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/28202 | |
| dc.subject | Condensed Matter | |
| dc.title | Fixed-Node Monte Carlo Calculations for the 1d Kondo Lattice Model | |
| dc.type | text |