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The high-temperature expansions for the spin-spin correlation function of the two-dimensional classical XY (planar rotator) model are extended by two terms, from order 24 through order 26, in the case of the square lattice, and by five…

高能物理 - 格点 · 物理学 2008-10-13 P. Butera , M. Pernici

High temperature series expansions of the spin-spin correlation function for the plane rotator (or XY) model on the sc lattice are extended by three terms through order $\beta^{17}$. Tables of the expansion coefficients are reported for the…

高能物理 - 格点 · 物理学 2019-08-15 P. Butera , M. Comi , A. J. Guttmann

High temperature series expansions of the spin-spin correlation function for the XY (or plane rotator) model on the triangular lattice are extended by two terms up to order beta^{14}. Tables of the expansion coefficients are reported for…

统计力学 · 物理学 2009-10-31 P. Butera , M. Comi

The bivariate high-temperature expansion of the spin-spin correlation-function of the three-dimensional classical XY (planar rotator) model, with spatially-anisotropic nearest-neighbor couplings, is extended from the 10th through the 21st…

高能物理 - 格点 · 物理学 2010-04-30 P. Butera , M. Pernici

High temperature series expansions of the spin-spin correlation functions of the RP^{n-1} spin model on the square lattice are computed through order beta^{8} for general spin dimensionality n. Tables are reported for the expansion…

高能物理 - 格点 · 物理学 2009-10-22 P. Butera , M. Comi

We calculate the high-temperature series of the magnetic susceptibility and the second and fourth moments of the correlation function for the XY model on the square lattice to order $\beta^{33}$ by applying the improved algorithm of the…

统计力学 · 物理学 2009-11-13 H. Arisue

Although there is now a good measure of agreement between Monte Carlo and high-temperature series expansion estimates for Ising ($n=1$) models, published results for the critical temperature from series expansions up to 12{\em th} order for…

高能物理 - 格点 · 物理学 2009-10-22 J. Adler , C. Holm , W. Janke

We present a high-temperature series expansion code for spin-1/2 Heisenberg models on arbitrary lattices. As an example we demonstrate how to use the application for an anisotropic triangular lattice with two independent couplings J1 and J2…

强关联电子 · 物理学 2017-01-04 Andreas Hehn , Natalija van Well , Matthias Troyer

High-temperature bivariate expansions have been derived for the two-spin correlation-function in a variety of classical lattice XY (planar rotator) models in which spatially isotropic interactions among first-neighbor spins compete with…

高能物理 - 格点 · 物理学 2014-11-18 P. Butera , M. Pernici

We have extended, from order 12 through order 25, the high-temperature series expansions (in zero magnetic field) for the spin-spin correlations of the spin-S Ising models on the square, simple-cubic and body-centered-cubic lattices. On the…

高能物理 - 格点 · 物理学 2009-11-10 P. Butera , M. Comi

We present the high-temperature series for a nearest-neighbor model with O(2) symmetry on a simple cubic lattice with the most general single-site potential. In particular, the magnetic susceptibility and the second-moment correlation…

统计力学 · 物理学 2007-05-23 Massimo Campostrini , Martin Hasenbusch , Andrea Pelissetto , Ettore Vicari

High temperature expansions for the susceptibility and the second correlation moment of the classical N-vector model (O(N) symmetric Heisenberg model) on the sc and the bcc lattices are extended to order $\beta^{19}$ for arbitrary N. For N=…

高能物理 - 格点 · 物理学 2009-10-28 P. Butera , M. Comi

The high-temperature expansion coefficients of the ordinary and the higher susceptibilities of the spin-1/2 nearest-neighbor Ising model are calculated exactly up to the 20th order for a general d-dimensional (hyper)-simple-cubical lattice.…

高能物理 - 格点 · 物理学 2012-09-21 P. Butera

We present an on-line library of unprecedented extension for high-temperature expansions of basic observables in the Ising models of general spin S, with nearest-neighbor interactions. We have tabulated through order beta^{25} the series…

高能物理 - 格点 · 物理学 2014-11-17 P. Butera , M. Comi

The high-temperature series expansion for quantum spin models is a well-established tool to compute thermodynamic quantities and equal-time spin correlations, in particular for frustrated interactions. We extend the scope of this expansion…

强关联电子 · 物理学 2026-02-06 Ruben Burkard , Benedikt Schneider , Björn Sbierski

We extend the high-temperature series of the free energy for the XY model in two dimensions to order $\beta^{48}$ from the previous order of $\beta^{22}$ by applying the improved algorithm of the finite lattice method. The long series…

统计力学 · 物理学 2009-11-13 Hiroaki Arisue

High temperature expansions for the free energy, the susceptibility and the second correlation moment of the classical N-vector model [also denoted as the O(N) symmetric classical spin Heisenberg model or as the lattice O(N) nonlinear sigma…

高能物理 - 格点 · 物理学 2009-10-30 P. Butera , M. Comi

We present a combined theory-experiment study to quantify spin diffusion in the square lattice quantum spin-1/2 XY model at finite temperature. On the theory side, we leverage a recently developed dynamical high-temperature expansion method…

Strong-coupling expansions, to order $(t/J)^8$, are derived for the Kondo lattice model of strongly correlated electrons, in 1-, 2- and 3- dimensions at arbitrary temperature. Results are presented for the specific heat, and spin and charge…

强关联电子 · 物理学 2016-08-31 J. Oitmaa , W. Zheng

Combining a lattice path integral formulation for thermodynamics with the solution of the quantum inverse scattering problem for local spin operators, we derive a multiple integral representation for the time-dependent longitudinal…

统计力学 · 物理学 2008-11-26 Kazumitsu Sakai
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