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By using Gutzwiller projected fermionic wave functions and variational Monte Carlo technique, we study the spin-$1/2$ Heisenberg model with the first-neighbor ($J_1$), second-neighbor ($J_2$), and additional scalar chiral interaction…

强关联电子 · 物理学 2016-09-07 Wen-Jun Hu , Shou-Shu Gong , D. N. Sheng

Nature of the phase transition of regularly frustrated vector spin systems in three dimensions is investigated based on a Ginzburg-Landau-type effective Hamiltonian. On the basis of the variational analysis of this model, Onoda et al…

统计力学 · 物理学 2010-09-21 Tsuyoshi Okubo , Hikaru Kawamura

Phase transitions in a classical Heisenberg spin model of a chiral helimagnet with the Dzyaloshinskii--Moriya (DM) interaction in three dimensions are numerically studied. By using the event-chain Monte Carlo algorithm recently developed…

统计力学 · 物理学 2016-08-29 Yoshihiko Nishikawa , Koji Hukushima

We carry out Monte-Carlo simulations to discuss critical properties of a classical two-dimensional XY frustrated helimagnet on a square lattice. We find two successive phase transitions upon the temperature decreasing: the first one is…

强关联电子 · 物理学 2014-08-22 A. O. Sorokin , A. V. Syromyatnikov

We propose a variant of the antiferromagnetic XY model on the triangular lattice to study the interplay between the chiral and nematic orders in addition to the magnetic order. The model has a significant bi-quadratic interaction of the…

强关联电子 · 物理学 2009-11-13 Jin-Hong Park , Shigeki Onoda , Naoto Nagaosa , Jung Hoon Han

The phase diagram of the frustrated 2D classical and 1D quantum XY models is calculated analytically. Four transitions are found: the vortex unbinding transitions triggered by strong fluctuations occur above and below the chiral transition…

统计力学 · 物理学 2015-06-16 H. Schenck , V. L. Pokrovsky , T. Nattermann

The Four Fermi model with discrete chiral symmetry is studied in three dimensions at non-zero chemical potential and temperature using the Hybrid Monte Carlo algorithm. The number of fermion flavors is chosen large $(N_f=12)$ to compare…

高能物理 - 格点 · 物理学 2009-10-22 Simon Hands , Aleksandar Kocic , John Kogut

We study the antiferromagnetic {\it XY} model on a triangular lattice by extensive Monte Carlo simulations, focusing on its ordering and critical properties. Our result clearly shows that two separate transitions occur at two distinct…

统计力学 · 物理学 2012-05-31 Tomoyuki Obuchi , Hikaru Kawamura

The chiral phase transition of the strongly interacting matter is investigated at nonzero temperature and baryon chemical potential mu_B within an extended (2+1) flavor Polyakov constituent quark-meson model which incorporates the effect of…

高能物理 - 唯象学 · 物理学 2016-09-09 Peter Kovács , Zsolt Szép , György Wolf

Using a simple model of a frustrated helimagnet, the critical behavior is numerically investigated for planar or isotropic spins, and for cases of one or two chiral order parameters. The helical structure in this model arises from the…

强关联电子 · 物理学 2020-08-20 A. O. Sorokin

We study the behavior of the classical XY model on a two-dimensional square lattice, with interactions occurring within a vision cone of each spin. Via Monte Carlo simulations, we explore one non-reciprocal and two reciprocal…

统计力学 · 物理学 2025-05-30 Gabriele Bandini , Davide Venturelli , Sarah A. M. Loos , Asja Jelic , Andrea Gambassi

We study a spin system with two- and four-spin exchange interactions on the triangular lattice, which is a possible model for the nuclear magnetism of solid $^3$He layers. It is found that a novel spin structure with scalar chiral order…

凝聚态物理 · 物理学 2009-10-30 Tsutomu Momoi , Kenn Kubo , Koji Niki

A low-temperature method is developed, suited for the two-dimensional two-component classical helical magnet. Four phases on the phase diagram as functions of temperature and helicity parameter of the Hamiltonian are found. Among the three…

统计力学 · 物理学 2015-06-16 Olga Dimitrova

The phase diagram of the classical \jj model on the \kag lattice is investigated using extensive \mc simulations. In a realistic range of parameters, this model has a low-temperature chiral-ordered phase without long-range spin order. We…

强关联电子 · 物理学 2009-11-13 J. -C. Domenge , C. Lhuillier , L. Messio , L. Pierre , P. Viot

We study zero temperature properties of a system of two coupled quantum spin chains subject to fields explicitly breaking time reversal symmetry and parity. Suitable choice of the strength of these fields gives a model soluble by Bethe…

统计力学 · 物理学 2009-10-30 Holger Frahm , Claus Rödenbeck

We study the ordering of the spin and the chirality in the fully frustrated XY model on a square lattice by extensive Monte Carlo simulations. Our results indicate unambiguously that the spin and the chirality exhibit separate phase…

统计力学 · 物理学 2015-05-19 Soichirou Okumura , Hajime Yoshino , Hikaru Kawamura

We investigate a two-dimensional classical $N$-vector model with a nonlinear interaction $(1 + \bsigma_i\cdot \bsigma_j)^p$ in the large-N limit. As observed for N=3 by Bl\"ote {\em et al.} [Phys. Rev. Lett. {\bf 88}, 047203 (2002)], we…

统计力学 · 物理学 2011-07-19 Sergio Caracciolo , Andrea Pelissetto

Thermodynamic quantities and correlation functions (CFs) of the classical antiferromagnet on the checkerboard lattice are studied for the exactly solvable infinite-component spin-vector model, $D \to \infty$. In contrast to conventional…

强关联电子 · 物理学 2009-11-07 Benjamin Canals , Dmitry Garanin

We investigate the ground-state properties of the highly degenerate non-coplanar phase of the classical bilinear-biquadratic Heisenberg model on the triangular lattice with Monte Carlo simulations. For that purpose, we introduce an Ising…

强关联电子 · 物理学 2013-09-09 Sandro Wenzel , Sergey E. Korshunov , Karlo Penc , Frédéric Mila

We study spin chirality for a spin-1/2 zigzag XY chain at low temperature by applying a low-temperature density-matrix renormalization group technique. We calculate temperature dependence of dynamical and static correlations of the…

强关联电子 · 物理学 2010-08-27 Takanori Sugimoto , Shigetoshi Sota , Takami Tohyama
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