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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…

Statistical Mechanics · Physics 2012-05-31 Tomoyuki Obuchi , Hikaru Kawamura

Ferro-quadrupole (FQ) order in the non-Kramers $\Gamma_3$ doublet system PrTi$_2$Al$_{20}$ has been investigated via angle-resolved measurements of the specific heat, rotational magnetocaloric effect, and entropy, under a rotating magnetic…

We study magnetoelectric (magneto-current) effects in a diamond structure under antiferro quadrupole (AFQ) orders. The AFQ orders break the spacial inversion symmetry and cause the current-induced magnetization. The current-induced…

Strongly Correlated Electrons · Physics 2019-06-03 Takayuki Ishitobi , Kazumasa Hattori

We study the extended Hubbard model on the triangular lattice as a function of filling and interaction strength. The complex interplay of kinetic frustration and strong interactions on the triangular lattice leads to exotic phases where…

Strongly Correlated Electrons · Physics 2014-12-16 Luca F. Tocchio , Claudius Gros , Xue-Feng Zhang , Sebastian Eggert

For studying the interplay of dipolar interaction and anisotropy energy in systems of ultrafine magnetic particles we consider simple cubic systems of magnetic dipoles with anisotropy axes pointing into the $z$-direction. Using Monte Carlo…

Disordered Systems and Neural Networks · Physics 2009-11-11 Stefanie Russ , Armin Bunde

Transport properties of the classical antiferromagnetic XXZ model on the square lattice have been theoretically investigated, putting emphasis on how the occurrence of a phase transition is reflected in spin and thermal transports. As is…

Strongly Correlated Electrons · Physics 2019-10-16 Kazushi Aoyama , Hikaru Kawamura

We apply a new entropic scheme to study the critical behavior of the square-lattice Ising model with nearest- and next-nearest-neighbor antiferromagnetic interactions. Estimates of the present scheme are compared with those of the…

Statistical Mechanics · Physics 2016-08-31 A. Malakis , P. Kalozoumis , N. Tyraskis

An octupole ordering model is studied by the mean field theory, and its relevance to the phase IV of CexLa1-xB6 is discussed. The observed lattice distortion along the [111] direction is interpreted in terms of the \Gamma_{5g}-type…

Strongly Correlated Electrons · Physics 2009-08-11 Katsunori Kubo , Yoshio Kuramoto

Using Monte Carlo simulations, we study thermal and critical properties of two systems, in which domain walls and so-called $Z_2$-vortices as topological defects are presented. The main model is a lattice version of the $O(3)$ principal…

Other Condensed Matter · Physics 2017-03-16 A. O. Sorokin

We perform Monte Carlo simulations, combining both the Wang-Landau and the Metropolis algorithms, to investigate the phase diagrams of the Blume-Capel model on different types of nonregular lattices (Lieb lattice (LL), decorated triangular…

Statistical Mechanics · Physics 2022-03-14 Mouhcine Azhari , Unjong Yu

Using a cluster extension of the dynamical mean-field theory (CDMFT) we map out the magnetic phase diagram of the anisotropic square lattice Hubbard model with nearest-neighbor intrachain $t$ and interchain $t_{\perp}$ hopping amplitudes at…

Strongly Correlated Electrons · Physics 2021-03-19 Marcin Raczkowski , Fakher F. Assaad , Masatoshi Imada

The three-dimensional XY model is investigated in the presence of a uniform magnetic field applied in the $X$-direction. The nearest neighbour intraplanar interaction is considered ferromagnetic, and the interplanar nearest neighbour…

Statistical Mechanics · Physics 2022-08-30 Muktish Acharyya , Erol Vatansever

We demonstrate, by considering the triangular lattice spin-1/2 Heisenberg model, that Monte Carlo sampling of skeleton Feynman diagrams within the fermionization framework offers a universal first-principles tool for strongly correlated…

Strongly Correlated Electrons · Physics 2013-04-09 S. A. Kulagin , N. Prokof'ev , O. A. Starykh , B. Svistunov , C. N. Varney

Frustrated magnets with degenerate ground states exhibit exotic ground states and rich phase structures when perturbations and/or thermal fluctuations lift the degeneracy. In two-dimensional models with short-range interactions, continuous…

Statistical Mechanics · Physics 2024-03-20 Fumiya Kakizawa , Takahiro Misawa , Hiroshi Shinaoka

With the help of the improved Monte Carlo renormalization-group scheme, we numerically investigate the renormalization group flow of the antiferromagnetic Heisenberg and XY spin model on the stacked triangular lattice (STA-model) and its…

Statistical Mechanics · Physics 2015-06-24 M. Itakura

By introducing a chiral term into the Hamiltonian of the 3-state Potts model on a triangular lattice additional symmetries are achieved between the clockwise and anticlockwise states and the ferromagnetic state. This model is investigated…

Statistical Mechanics · Physics 2009-11-07 Z. F. Wang , B. W. Southern , D. A. Lavis

We study the QCD phase diagram in the strong coupling limit with fluctuation effects by using the auxiliary field Monte-Carlo method. We apply the chiral angle fixing technique in order to obtain finite chiral condensate in the chiral limit…

High Energy Physics - Lattice · Physics 2016-01-26 Terukazu Ichihara , Akira Ohnishi , Takashi Z. Nakano

We study the zero-temperature phase diagram of the 2D quantum $J_{1}^{XXZ}$--$J_{2}^{XXZ}$ spin-1/2 anisotropic Heisenberg model on the square lattice. In particular, the effects of the anisotropy $\Delta$ on the $z$-aligned N\'{e}el and…

Strongly Correlated Electrons · Physics 2008-08-14 R. F. Bishop , P. H. Y. Li , R. Darradi , J. Schulenburg , J. Richter

We theoretically investigate the magnetic-multipole orders in two-dimensional (2D) altermagnets, focusing on two representative models: a generic minimal three-site model, and a four-site model representative of monolayer FeSe. We construct…

Mesoscale and Nanoscale Physics · Physics 2025-11-12 Tenta Tani , Ulrich Zülicke

The phase diagram of the uniaxially anisotropic $s=1$ antiferromagnet on the kagom\'e lattice includes a critical line exactly described by the classical three-color model. This line is distinct from the standard geometric classical…

Strongly Correlated Electrons · Physics 2009-11-11 Cenke Xu , J. E. Moore
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