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The results of finite-size scaling analysis of histogram Monte-Carlo simulations on the stacked triangular XY antiferromagnet with anisotropic near-neighbor exchange interactions are presented. With ferromagnetic interplane coupling ten…

Condensed Matter · Physics 2009-10-28 M. L. Plumer , A. Mailhot

We report on Monte Carlo simulations for the two-dimensional frustrated $J_1$-$J_2$ Ising model on the square lattice. Recent analysis has shown that for the phase transition from the paramagnetic state to the antiferromagnetic collinear…

Statistical Mechanics · Physics 2012-10-12 A. Kalz , A. Honecker

We determine the phase diagram of a generalized Shastry-Sutherland model, using a combination of dimer- and quadrumer-boson methods and numerical exact diagonalization techniques. Along special lines in the parameter space the model reduces…

Strongly Correlated Electrons · Physics 2007-05-23 Andreas Laeuchli , Stefan Wessel , Manfred Sigrist

The variational cluster approximation is used to study the frustrated Hubbard model at half filling defined on the two-dimensional square lattice with anisotropic next-nearest-neighbor hopping parameters. We calculate the ground-state phase…

Strongly Correlated Electrons · Physics 2017-02-02 Kazuma Misumi , Tatsuya Kaneko , Yukinori Ohta

The two-dimensional XY gauge glass, which describes disordered superconducting grains in strong magnetic fields, is investigated, with regard to the possibility of a glass transition. We compute the glass susceptibility and the correlation…

Condensed Matter · Physics 2009-10-31 M. Y. Choi , Sung Yong Park

We study the qualitative features of the QCD phase diagram in the context of the linear quark-meson model with two flavours, using the exact renormalization group. We identify the universality classes of the second-order phase transitions…

High Energy Physics - Theory · Physics 2010-04-05 N. Tetradis

We show, that the 2D XY-model with random phase shifts exhibits for low temperature and small disorder a phase with quasi-long-range order, and that the transition to the disordered phase is {\it not} reentrant. These results are obtained…

Condensed Matter · Physics 2016-08-31 Thomas NATTERMANN , Stefan SCHEIDL , Sergey E. KORSHUNOV , Mai Suan LI

We provide a full characterization of multi-phase problems under a large class of overdetermined Serrin-type conditions. Our analysis includes both symmetry and asymmetry (including bifurcation) results. A broad range of techniques is…

Analysis of PDEs · Mathematics 2025-05-09 Lorenzo Cavallina , Giorgio Poggesi

The SU(2) gauge theory with 8 fundamental fermions is studied using unimproved staggered regularization. A phase transition or a crossover at strong coupling, which can be a bulk transition. By using chiral random matrix model we analyze…

High Energy Physics - Lattice · Physics 2019-12-04 Issaku Kanamori , C. -J. David Lin

We solve a model of phase separation among two competing phases frustrated by the long-range Coulomb interaction in two and three dimensions (2D/3D) taking into account finite compressibility effects. In the limit of strong frustration in…

Strongly Correlated Electrons · Physics 2009-11-11 C. Ortix , J. Lorenzana , M. Beccaria , C. Di Castro

The phase diagram of the two-dimensional ANNNI model has long been theoretically debated. Extremely long structural correlations and relaxation times further result in numerical simulations making contradictory predictions. Here, we…

Statistical Mechanics · Physics 2021-03-31 Yi Hu , Patrick Charbonneau

The nature of phase transitions involving the questions why and how phase transitions take place has not been sufficiently touched in the literature. In contrast, the current attention to certain extent still focus on the description of…

Statistical Mechanics · Physics 2023-02-28 Yun-Tong Yang , Hong-Gang Luo

We study and compare the critical properties of the two-dimensional (2D) XY model in a transverse magnetic field with magnetic filling factors f=1/3 and f=2/5. In addition to the spin waves, the low energy excitations of the system consist…

Statistical Mechanics · Physics 2009-10-28 Colin Denniston , Chao Tang

We discuss the consequences of including both electron-phonon and electron-electron couplings in multi-band models, focusing on numerical studies of a one-dimensional two-band model in the intermediate regime for both coupling strengths.…

Condensed Matter · Physics 2009-10-22 H. Roeder , A. R. Bishop , J. Tinka Gammel

We study the discrete-to-continuum variational limit of the $J_{1}$-$J_{3}$ spin model on the square lattice in the vicinity of the helimagnet/ferromagnet transition point as the lattice spacing vanishes. Carrying out the…

Analysis of PDEs · Mathematics 2019-04-17 Marco Cicalese , Marwin Forster , Gianluca Orlando

We present a quantum theory for one-dimensional spin-1/2 multiferroics, where the vector spin chirality couples with the electric polarization. Based on exact diagonalization and bosonization, it is shown that quantum fluctuations…

Strongly Correlated Electrons · Physics 2008-12-10 Shunsuke Furukawa , Masahiro Sato , Yasuhiro Saiga , Shigeki Onoda

The ground state of a one-dimensional spin-1/2 chain with periodical boundary condition in the Heisenberg XY model is investigated. We consider the spatial correlation and concurrence between any nearest-neighbor pair of spins under the…

Quantum Physics · Physics 2007-05-23 Jun Jing , H. R. Ma

Geometrically frustrated elastic ribbons exhibit, in many cases, significant changes in configuration depending on the relation between their width and thickness. We show that the existence of such a transition, and the scaling at which it…

Soft Condensed Matter · Physics 2021-08-12 Ido Levin , Emmanuel Siéfert , Eran Sharon , Cy Maor

We explore the ground-state phase diagram of the $S\!=\!1/2$ two-leg ladder with different isotropic leg interactions and uniform anisotropic rung ones, which is described by the Hamiltonian ${\cal H}=J_{{\rm l},a}…

Strongly Correlated Electrons · Physics 2017-04-25 Takashi Tonegawa , Kiyomi Okamoto , Toshiya Hikihara , Tôru Sakai

We study the phase diagram and the quantum phase transitions of a site-diluted two-dimensional O(3) quantum rotor model by means of large-scale Monte-Carlo simulations. This system has two quantum phase transitions, a generic one for small…

Strongly Correlated Electrons · Physics 2007-05-23 Thomas Vojta , Rastko Sknepnek