Monte Carlo simulations of fermion systems: the determinant method

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Described are the details for performing Monte Carlo simulations on systems of fermions at finite temperatures by use of a technique called the Determinant Method. This method is based on a functional integral formulation of the fermion problem (Blankenbecler et al., Phys. Rev D 24, 2278 (1981)) in which the quartic fermion-fermion interactions that exist for certain models are transformed into bilinear ones by the introduction (J. Hirsch, Phys. Rev. B 28, 4059 (1983)) of Ising-like variables and an additional finite dimension. It is on the transformed problem the Monte Carlo simulations are performed. A brief summary of research on ... continued below

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Pages: 10

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Gubernatis, J.E. January 1, 1985.

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Description

Described are the details for performing Monte Carlo simulations on systems of fermions at finite temperatures by use of a technique called the Determinant Method. This method is based on a functional integral formulation of the fermion problem (Blankenbecler et al., Phys. Rev D 24, 2278 (1981)) in which the quartic fermion-fermion interactions that exist for certain models are transformed into bilinear ones by the introduction (J. Hirsch, Phys. Rev. B 28, 4059 (1983)) of Ising-like variables and an additional finite dimension. It is on the transformed problem the Monte Carlo simulations are performed. A brief summary of research on two such model problems, the spinless fermion lattice gas and the Anderson impurity problem, is also given.

Physical Description

Pages: 10

Notes

NTIS, PC A02/MF A01.

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  • Joint Los Alamos/CEA meeting on Monte Carlo methods, Cadarache, France, 22 Apr 1985

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  • Other: DE85010708
  • Report No.: LA-UR-85-1267
  • Report No.: CONF-8504110-15
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 5858372
  • Archival Resource Key: ark:/67531/metadc1097014

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Office of Scientific & Technical Information Technical Reports

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  • January 1, 1985

Added to The UNT Digital Library

  • Feb. 18, 2018, 3:59 p.m.

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  • May 23, 2018, 2:16 p.m.

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Gubernatis, J.E. Monte Carlo simulations of fermion systems: the determinant method, article, January 1, 1985; New Mexico. (https://digital.library.unt.edu/ark:/67531/metadc1097014/: accessed March 19, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.