Quantum Monte Carlo simulations of the one-dimensional extended Hubbard model

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We report preliminary results of an investigation of the thermodynamic properties of the extended Hubbard model in one- dimension, calculated with the world-line Monte Carlo method described by Hirsch et al. With strictly continuous world-lines, we are able to measure the expectation of operators that conserve fermion number locally, such as the energy and (spatial) occupation number. By permitting the world-lines to be broken'' stochastically, we may also measure the expectation of operators that conserve fermion number only globally, such as the single-particle Green's function. For a 32 site lattice we present preliminary calculations of the average electron occupancy as ... continued below

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Somsky, W.R. & Gubernatis, J.E. January 1, 1989.

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We report preliminary results of an investigation of the thermodynamic properties of the extended Hubbard model in one- dimension, calculated with the world-line Monte Carlo method described by Hirsch et al. With strictly continuous world-lines, we are able to measure the expectation of operators that conserve fermion number locally, such as the energy and (spatial) occupation number. By permitting the world-lines to be broken'' stochastically, we may also measure the expectation of operators that conserve fermion number only globally, such as the single-particle Green's function. For a 32 site lattice we present preliminary calculations of the average electron occupancy as a function of wavenumber when U = 4, V = 0 and {beta} = 16. For a half-filled band we find no indications of a Fermi surface. Slightly away from half-filling, we find Fermi-surface-like behavior similar to that found in other numerical investigations. 8 refs., 3 figs.

Physical Description

Pages: (11 p)

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NTIS, PC A03/MF A01; OSTI; INIS; GPO Dep.

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  • Los Alamos workshop on quantum simulations of condensed matter, Los Alamos, NM (USA), 8-11 Aug 1989

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  • Other: DE90000688
  • Report No.: LA-UR-89-3231
  • Report No.: CONF-8908106--1
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 5578810
  • Archival Resource Key: ark:/67531/metadc1094083

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  • January 1, 1989

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  • Feb. 10, 2018, 10:06 p.m.

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  • May 30, 2018, 1:16 p.m.

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Somsky, W.R. & Gubernatis, J.E. Quantum Monte Carlo simulations of the one-dimensional extended Hubbard model, article, January 1, 1989; New Mexico. (digital.library.unt.edu/ark:/67531/metadc1094083/: accessed October 21, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.