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The results of extensive Monte Carlo simulations of magnetic-field induced transitions in the xy model on a stacked triangular lattice with antiferromagnetic intraplane and ferromagnetic interplane interactions are discussed. A low-field…

Condensed Matter · Physics 2009-10-22 M. L. Plumer , A. Mailhot , A. Caillé

The effectiveness of the perturbative renormalization group approach at fixed space dimension d in the theory of critical phenomena is analyzed. Three models are considered: the O(N) model, the cubic model and the antiferromagnetic model…

Statistical Mechanics · Physics 2011-12-30 B. Delamotte , M. Dudka , Yu. Holovatch , D. Mouhanna

The phase diagrams of isotropic and anisotropic triangular lattices with local Coulomb interactions are evaluated within cluster dynamical mean field theory. As a result of partial geometric frustration in the anisotropic lattice, short…

Strongly Correlated Electrons · Physics 2015-05-13 A. Liebsch , H. Ishida , J. Merino

We study the effect of spin anisotropies on a frustrated quantum antiferromagnet using the J_1-J_2^{XXZ} model on the square lattice. The T=0 and finite-T phase diagrams of this model are obtained utilizing spin-wave theory, exact…

Strongly Correlated Electrons · Physics 2009-11-10 Tommaso Roscilde , Adrian Feiguin , Alexander L. Chernyshev , Shiu Liu , Stephan Haas

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

We investigate the competition between spin-supersolidity and phase separation in a frustrated spin-half model of weakly coupled dimers. We start by considering systems of hard-core bosons on the square lattice, onto which the low-energy…

Strongly Correlated Electrons · Physics 2011-05-11 A. Fabricio Albuquerque , Nicolas Laflorencie , Jean-David Picon , Frédéric Mila

The theory of second order phase transitions is one of the foundations of modern statistical mechanics and condensed matter theory. A central concept is the observable `order parameter', whose non-zero average value characterizes one or…

Strongly Correlated Electrons · Physics 2007-05-23 T. Senthil , Ashvin Vishwanath , Leon Balents , Subir Sachdev , M. P. A. Fisher

We study numerically a two-dimensional random-bond Ising model where frustration can be tuned by varying the fraction $a$ of antiferromagnetic coupling constants. At low temperatures the model exhibits a phase with ferromagnetic order for…

Statistical Mechanics · Physics 2017-11-08 Federico Corberi , Manoj Kumar , Eugenio Lippiello , Sanjay Puri

Using Monte Carlo simulations, we study the critical behavior of two models of frustrated XY antiferromagnets with a collinear spin ordering and with an additional twofold degeneracy of the ground state. We consider a classic…

Strongly Correlated Electrons · Physics 2020-04-03 A. O. Sorokin

We report that special care is needed when longitudinal magnetic susceptibility is computed in a magnetically ordered phase, especially in metals. We demonstrate this by studying static susceptibility in both a ferromagnetic and an…

Strongly Correlated Electrons · Physics 2017-08-09 Kazuhiro Kuboki , Hiroyuki Yamase

We examine a modification of the Kuramoto model for phase oscillators coupled on a network. Here, two populations of oscillators are considered, each with different network topologies, internal and cross-network couplings and frequencies.…

Dynamical Systems · Mathematics 2016-02-17 A. C. Kalloniatis , M. L. Zuparic

We compute the four-loop beta functions of short and long-range multi scalar models with general sextic interactions and complex fields. We then specialize the beta functions to a $U(N)^3$ symmetry and study the renormalization group at…

High Energy Physics - Theory · Physics 2022-10-10 Sabine Harribey

The classical Monte Carlo method is used to study the properties of the ground state and phase transitions of the spin-pseudospin model, which describes a two-dimensional Ising magnet with competing charge and spin interactions. This…

Statistical Mechanics · Physics 2021-09-23 D. N. Yasinskaya , V. A. Ulitko , Yu. D. Panov

Magnetism plays a key role in modern technology as essential building block of many devices used in daily life. Rich future prospects connected to spintronics, next generation storage devices or superconductivity make it a highly dynamical…

The magnetic properties of the antiferromagnetic spin ladder with the next-nearest neighbor interaction, particularly under external field, are investigated by the exact diagonalization of the finite clusters and size scaling techniques. It…

Strongly Correlated Electrons · Physics 2009-10-31 Toru Sakai , Nobuhisa Okazaki

Recent theoretical and experimental studies on the critical properties of frustrated antiferromagnets with the noncollinear spin order, including stacked-triangular antiferromagnets and helimagnets, are reviewed. Particular emphasis is put…

Statistical Mechanics · Physics 2009-10-31 Hikaru Kawamura

The interplay between frustration and quantum fluctuation in magnetic systems is known to be the origin of many exotic states in condensed matter physics. In this paper, we consider a frustrated four-leg spin tube under a magnetic field.…

Strongly Correlated Electrons · Physics 2015-03-11 X. Plat , Y. Fuji , S. Capponi , P. Pujol

We investigated the magnetoelastic properties of the quasi-one-dimensional spin-1/2 frustrated magnet LiCuVO$_4$. Longitudinal-magnetostriction experiments were performed at 1.5 K in high magnetic fields of up to 60 T applied along the $b$…

Strongly Correlated Electrons · Physics 2021-01-13 A. Miyata , T. Hikihara , S. Furukawa , R. K. Kremer , S. Zherlitsyn , J. Wosnitza

The effect of quenched disorder on the low-energy and low-temperature properties of various two- and three-dimensional Heisenberg models is studied by a numerical strong disorder renormalization group method. For strong enough disorder we…

Disordered Systems and Neural Networks · Physics 2009-11-07 Y. -C. Lin , R. Mélin , H. Rieger , F. Iglói

We consider the spin-1/2 antiferromagnetic Heisenberg model on two one-dimensional frustrated lattices, double-tetrahedral chain and octahedral chain, with almost dispersionless (flat) lowest magnon band in a strong magnetic field. Using…

Strongly Correlated Electrons · Physics 2020-08-12 Olesia Krupnitska