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Continuous-time solver for quantum impurity models.

Philipp Werner1, Armin Comanac, Luca De' Medici

  • 1Department of Physics, Columbia University, 538 West, 120th Street, New York, New York 10027, USA.

Physical Review Letters
|October 10, 2006
PubMed
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A new continuous-time solver efficiently simulates quantum impurity models. This method accurately predicts temperature-driven transitions, even at low temperatures and strong interactions.

Area of Science:

  • Quantum mechanics
  • Condensed matter physics
  • Computational physics

Background:

  • Quantum impurity models are crucial for understanding materials.
  • Dynamical Mean Field Theory (DMFT) is a key method for these models.
  • Simulating these models, especially at low temperatures and strong interactions, is computationally challenging.

Purpose of the Study:

  • To develop a novel, efficient continuous-time solver for quantum impurity models.
  • To enable accurate simulations for systems relevant to DMFT.
  • To investigate temperature-driven phase transitions in strongly correlated systems.

Main Methods:

  • Stochastic sampling of a perturbation expansion.
  • Focus on the impurity-bath hybridization parameter.

Related Experiment Videos

  • Continuous-time simulation approach.

    • Main Results:

    • The new solver demonstrates high accuracy when compared to established methods like Quantum Monte Carlo and exact diagonalization.
    • The method allows for highly efficient simulations, particularly at low temperatures and under strong interaction regimes.
    • Accurate calculations of temperature-dependent kinetic and free energies were achieved.

    Conclusions:

    • The developed continuous-time solver offers a powerful and efficient tool for studying quantum impurity models.
    • The method facilitates precise identification of temperature-driven metal-insulator transitions.
    • This approach advances the simulation capabilities for strongly correlated electron systems.