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Related Experiment Video

Updated: Jul 13, 2026

Construction and Systematical Symmetric Studies of a Series of Supramolecular Clusters with Binary or Ternary Ammonium Triphenylacetates
06:35

Construction and Systematical Symmetric Studies of a Series of Supramolecular Clusters with Binary or Ternary Ammonium Triphenylacetates

Published on: February 15, 2016

Numerical linked-cluster algorithms. II. t-J models on the square lattice.

Marcos Rigol1, Tyler Bryant, Rajiv R P Singh

  • 1Department of Physics and Astronomy, University of Southern California, Los Angeles, California 90089, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 7, 2007
PubMed
Summary

The numerical linked-cluster (NLC) algorithm accurately calculates thermodynamic properties for strongly correlated models like the t-J model. NLC offers reliable results at intermediate temperatures, outperforming other methods in convergence and accuracy.

Related Experiment Videos

Last Updated: Jul 13, 2026

Construction and Systematical Symmetric Studies of a Series of Supramolecular Clusters with Binary or Ternary Ammonium Triphenylacetates
06:35

Construction and Systematical Symmetric Studies of a Series of Supramolecular Clusters with Binary or Ternary Ammonium Triphenylacetates

Published on: February 15, 2016

Area of Science:

  • Condensed matter physics
  • Quantum many-body theory
  • Computational physics

Background:

  • Strongly correlated itinerant models present significant computational challenges.
  • Accurate calculation of thermodynamic observables is crucial for understanding material properties.
  • Existing methods like high-temperature expansions (HTE) and finite-temperature Lanczos method (FTLM) have limitations.

Purpose of the Study:

  • To apply the novel numerical linked-cluster (NLC) algorithm to strongly correlated itinerant models.
  • To investigate thermodynamic observables (chemical potential, entropy, specific heat, uniform susceptibility) for the t-J model.
  • To compare the performance and accuracy of NLC with HTE and FTLM.

Main Methods:

  • Application of the numerical linked-cluster (NLC) algorithm.
  • Study of the t-J model on a square lattice with J/t ratios of 0.5 and 0.3.
  • Comparison of NLC results with high-temperature expansions (HTE) and finite-temperature Lanczos method (FTLM).

Main Results:

  • NLC algorithm shows convergence without extrapolation in a significant temperature range.
  • HTE results diverge where NLC converges.
  • Excellent agreement between NLC, HTE, and FTLM is achieved down to 0.25t after extrapolation.
  • NLC provides better-controlled results at intermediate temperatures, facilitating convergence assessment.

Conclusions:

  • The numerical linked-cluster algorithm is a powerful tool for studying strongly correlated itinerant models.
  • NLC offers superior numerical accuracy and controlled convergence compared to HTE and FTLM at intermediate temperatures.
  • This work validates NLC for reliable thermodynamic property calculations in condensed matter physics.