Munehisa, T. (2014) An Improved Finite Temperature Lanczos Method and Its Application to the Spin-1/2 Heisenberg Model on the Kagome Lattice. World Journal of Condensed Matter Physics, 4, 134-140.
http://dx.doi.org/10.4236/wjcmp.2014.43018

has been cited by the following article:

• TITLE: Numerical Study of the Higgs Mode in the Heisenberg Antiferromagnet on the Square Lattice

  AUTHORS: Tomo Munehisa

  KEYWORDS: Higgs Mode, Nambu-Goldstone Mode, Heisenberg Antiferromagnet, Dynamical Correlation, Finite Temperature Lanczos Method

  JOURNAL NAME: World Journal of Condensed Matter Physics, Vol.5 No.4, November 11, 2015

  ABSTRACT: The Higgs mode is expected to exist in any system with the spontaneous symmetry breaking of the continuous symmetry. We make numerical study about the Higgs mode in the Heisenberg antiferromagnet on the square lattice by the exact diagonalisation approach. Since the Higgs mode can couple with a pair of the Nambu-Goldstone modes, we calculate the dynamical correlation of the two spin operators, employing the finite temperature Lanczos method. Because the lattice size is severely limited, we make a careful discussion on procedures of finding evidences for the Higgs mode by numerical works. By the discussed procedures, we present numerical results for the dynamical correlation at zero temperature. Then we obtain clear evidences for the Higgs mode of the spin-1/2 Heisenberg antiferromagnet on the square lattice.