Continuous-Time Solver for Quantum Impurity Models

Philipp Werner, Armin Comanac, Luca de’ Medici, Matthias Troyer, and Andrew J. Millis
Phys. Rev. Lett. 97, 076405 – Published 18 August 2006

Abstract

We present a new continuous-time solver for quantum impurity models such as those relevant to dynamical mean field theory. It is based on a stochastic sampling of a perturbation expansion in the impurity-bath hybridization parameter. Comparisons with Monte Carlo and exact diagonalization calculations confirm the accuracy of the new approach, which allows very efficient simulations even at low temperatures and for strong interactions. As examples of the power of the method we present results for the temperature dependence of the kinetic energy and the free energy, enabling an accurate location of the temperature-driven metal-insulator transition.

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  • Received 30 December 2005

DOI:https://doi.org/10.1103/PhysRevLett.97.076405

©2006 American Physical Society

Authors & Affiliations

Philipp Werner1, Armin Comanac1, Luca de’ Medici1,2, Matthias Troyer3, and Andrew J. Millis1

  • 1Department of Physics, Columbia University, 538 West, 120th Street, New York, New York 10027, USA
  • 2Centre de Physique Théorique, Ecole Polytechnique, 91128 Palaiseau Cedex, France
  • 3Institut für theoretische Physik, ETH Hönggerberg, CH-8093 Zürich, Switzerland

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Issue

Vol. 97, Iss. 7 — 18 August 2006

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