Excitation Spectra in the 1-D Hubbard Model from Quantum-Monte-Carlo Simulations

A. Muramatsu, R. Preuss, W. von der Linden, P. Dieterich, F. F. Assaad, W. Hanke

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The numerical simulation of quantum mechanical many-body systems by Monte Carlo Methods is in general only able to deliver ground-state or thermodynamical expectation values of physical observables. Recent developments however, made possible to perform an analytic continuation of imaginary-time quantum Monte Carlo data into real-frequency spectra. In particular the maximum-entropy method (MEM) was successfully applied to the Anderson impurity model and the Heisenberg quantum anti-ferromagnet both in one (1-D) and two (2-D) dimensions. We present here an application of the MEM on quantum Monte Carlo (QMC) simulations of the 1-D Hubbard model for large system sizes (N ≤ 84), such that the characterization of dispersion relations for excitation spectra becomes possible. The one-particle excitations posses cosine-like bands that, surprisingly, agree extremely well with slave-boson mean-field ones. Further comparisons with exact results from Bethe-Ansatz and conformai field-theory demonstrate the reliability of both the QMC simulations as well as the MEM.
Original languageEnglish
Title of host publicationComputer Simulation Studies in Condensed-Matter Physics VII
EditorsDavid P. Landau, K. K. Mon, Professor Heinz-Bernd Schüttler Ph D
PublisherSpringer Berlin - Heidelberg
Number of pages12
ISBN (Print)978-3-642-79295-3 978-3-642-79293-9
Publication statusPublished - 1994

Publication series

NameSpringer Proceedings in Physics
PublisherSpringer Berlin Heidelberg


  • Condensed Matter Physics, Mathematical Methods in Physics, Numerical and Computational Physics, Physical Chemistry, Quantum Information Technology, Spintronics, Quantum Physics

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