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We consider the magnetic phase diagram of the two-dimensional Hubbard model on a square lattice. We take into account both spiral and collinear incommensurate magnetic states. The possibility of phase separation of spiral magnetic phases is…

Strongly Correlated Electrons · Physics 2011-09-13 M. A. Timirgazin , A. K. Arzhnikov , A. V. Vedyayev

An Ising model with competing interaction is used to study the appearance of incommensurate phases in the basal plane of an hexagonal closed-packed structure. The calculated mean-field phase diagram reveals various 1q-incommensurate and…

Statistical Mechanics · Physics 2007-05-23 I. Luk'yanchuk , A. Jorio , M. A. Pimenta

We study the phase diagram and the commensurate-incommensurate transitions in a phase field model of a two-dimensional crystal lattice in the presence of an external pinning potential. The model allows for both elastic and plastic…

Other Condensed Matter · Physics 2007-05-23 C. V. Achim , M. Karttunen , K. R. Elder , E. Granato , T. Ala-Nissila , S. C. Ying

We study a triangular frustrated antiferromagnetic Heisenberg model with nearest-neighbor interaction $J_{1}$ and third-nearest-neighbor interactions $J_{3}$ by means of Schwinger-boson mean-field theory. It is shown that an incommensurate…

Strongly Correlated Electrons · Physics 2009-08-02 Peng Li , Haibin Su , Hui-Ning Dong , Shun-Qing Shen

In the work, we investigated a generalized model of the fermionic lattice gas in the form of the extended Hubbard model with intersite Ising-like interactions (both antiferromagnetic and ferromagnetic) at the atomic limit on the triangular…

Statistical Mechanics · Physics 2024-01-24 Konrad Jerzy Kapcia , Jan Barański

Transfer-matrix methods, with the help of finite-size scaling and conformal invariance concepts, are used to investigate the critical behavior of two-dimensional square-lattice Ising spin-1/2 systems with first- and second-neighbor…

Statistical Mechanics · Physics 2011-10-03 S. L. A. de Queiroz

We develop the field theory of antiferromagnets to layered structures on BCT crystal lattices with nearest-neibour and next-nearest-neighbour ferro- and/or antiferromagnetic interactions. For this aim the field theoretical counterpart of a…

Statistical Mechanics · Physics 2017-01-09 Dimo I. Uzunov

At high pressure, bismuth acquires a complex incommensurate host-guest structure, only recently discovered. Characterizing the structure and properties of this incommensurate phase from first principles is challenging owing to its…

Materials Science · Physics 2019-07-24 Daniela Kartoon , Guy Makov

We introduce a model of vortices in type-II superconductors with a four-fold anisotropy in the vortex-vortex interaction potential. Using numerical simulations we show that the vortex lattice undergoes structural transitions as the…

Superconductivity · Physics 2018-07-30 M. W. Olszewski , M. R. Eskildsen , C. Reichhardt , C. J. O. Reichhardt

We study thermodynamic properties of an antiferromagnetic Ising model on the inverse perovskite lattice by using Monte Carlo simulations. The lattice structure is composed of corner-sharing octahedra and contains three-dimensional…

Statistical Mechanics · Physics 2007-05-23 Daisuke Tahara , Yukitoshi Motome , Masatoshi Imada

We present a model compound with a spin-1/2 spatially anisotropic frustrated square lattice, in which three antiferromagnetic interactions and one ferromagnetic interaction are competing. We observe an unconventional gradual increase in the…

Strongly Correlated Electrons · Physics 2021-06-24 H. Yamaguchi , Y. Iwasaki , Y. Kono , T. Okubo , S. Miyamoto , Y. Hosokoshi , A. Matsuo , T. Sakakibara , T. Kida , M. Hagiwara

We study a frustrated two-leg spin ladder with alternate isotropic Heisenberg and Ising rung exchange interactions, whereas, interactions along legs and diagonals are Ising-type. All the interactions in the ladder are anti-ferromagnetic in…

Strongly Correlated Electrons · Physics 2020-11-25 Sk Saniur Rahaman , Shaon Sahoo , Manoranjan Kumar

Magnetic order on the spatially anisotropic triangular lattice of $\alpha$-NaMnO$_2$ is studied via neutron diffraction measurements. The transition into a commensurate, collinear antiferromagnetic ground state with $\mathbf{k}=(0.5, 0.5,…

Strongly Correlated Electrons · Physics 2018-11-14 Rebecca L. Dally , Robin Chisnell , Leland Harriger , Yaohua Liu , Jeffrey W. Lynn , Stephen D. Wilson

Using a Monte Carlo method, we study the finite-temperature phase transition in the two-dimensional classical Heisenberg model on a triangular lattice with or without easy-plane anisotropy. The model takes account of competing interactions:…

Statistical Mechanics · Physics 2015-03-19 Ryo Tamura , Naoki Kawashima

Competitive effects of so-called three-site four-spin interactions, single ion anisotropy and bilinear interactions is studied in the mixed spin-1/2 and spin-1 Ising model on a decorated square lattice. Exploring the decoration-iteration…

Statistical Mechanics · Physics 2016-06-22 M. Jaščur , V. Štubňa , K. Szałowski , T. Balcerzak

A mixed spin-1/2 and spin-3/2 Ising model on a decorated square lattice with a nearest- neighbor interaction, next-nearest-neighbor bilinear interaction, three-site four-spin in- teraction and single-ion anisotropy is exactly investigated…

Statistical Mechanics · Physics 2017-08-23 Viliam Štubňa , Michal Jaščur

We present a study of a classical ferrimagnetic model on a square lattice in which the two interpenetrating square sublattices have spins one-half and one. This model is relevant for understanding bimetallic molecular ferrimagnets that are…

Condensed Matter · Physics 2009-10-28 G. M. Buendia , M. A. Novotny

We study a stacked triangular lattice Ising model with both intra- and inter-plane antiferromagnetic interactions in a field, by Monte Carlo simulation. We find only one phase transition from a paramagnetic to a partially disordered phase,…

Statistical Mechanics · Physics 2018-05-07 M. Žukovič , M. Borovský , A. Bobák

Competing magnetically ordered structures in polymerized orthorhombic A1C60 are studied. A mean-field theory for the equilibrium phases is developed using an Ising model and a classical Heisenberg model to describe the competition between…

mtrl-th · Physics 2009-10-28 E. J. Mele , G. V. Krishna , S. C. Erwin

We present a scenario, in which a gapless extended phase serves as a "hub" connecting multiple symmetry-enriched deconfined quantum critical points. As a concrete example, we construct a lattice model with $\mathbb{Z}^{\,}_{2}\times…

Strongly Correlated Electrons · Physics 2025-10-13 Anthony Rey , Ömer M. Aksoy , Daniel P. Arovas , Claudio Chamon , Christopher Mudry