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Antiferromagnetically coupled Ising s =3 spins on a triangular lattice are very close to ordering at zero temperature. The low temperature behaviour of a triangular lattice with Ising spins s =3 has been simulated by using both Glauber and…

Statistical Mechanics · Physics 2017-11-02 Christopher Bentham , Stuart George , Jenny Poulton , GIllian A. Gehring

The antiferromagnetic phase of two-dimensional (2D) and three-dimensional (3D) Hubbard model with nearest neighbors hopping is studied on a bipartite cubic lattice by means of the quantum SU(2)xU(1) rotor approach that yields a fully…

Strongly Correlated Electrons · Physics 2008-11-04 T. A. Zaleski , T. K. Kopec

Interesting emergent behavior in quantum materials arises when the interaction of electrons with the lattice leads to partial localization and ordering of charge at low temperatures. The triangular lattice of some transition metal…

Strongly Correlated Electrons · Physics 2023-01-16 E. S. Bozin , M. Abeykoon , S. Conradson , G. Baldinozzi , P. Sutar , D. Mihailovic

Motivated by recent experiments on Bi$_3$Mn$_4$O$_{12}$(NO$_3$), we study a frustrated $J_1$-$J_2$ Heisenberg model on the two dimensional (2D) honeycomb lattice. The classical $J_1$-$J_2$ Heisenberg model on the two dimensional (2D)…

Strongly Correlated Electrons · Physics 2013-05-29 A. Mulder , R. Ganesh , L. Capriotti , A. Paramekanti

We set forth the structural and magnetic properties of the frustrated spin-$5/2$ triangle lattice antiferromagnet Na$_3$Fe(PO$_4$)$_2$ examined via x-ray diffraction, magnetization, heat capacity, and neutron diffraction measurements on the…

Materials Science · Physics 2022-01-26 Sebin J. Sebastian , A. Jain , S. M. Yusuf , M. Uhlarz , R. Nath

We investigate the nematic phase transition in the Heisenberg $J_1$-$J_2$-model on square and triangular lattices, accounting for finite lattice compressibility and bond-length-dependent magnetic exchange. Using Nematic Bond Theory, a…

Strongly Correlated Electrons · Physics 2026-02-17 Olav F. Syljuåsen , Jens Paaske

We employ extensive NPT molecular dynamics simulations to explore the thermal transitions of two-dimensional colloidal crystals interacting via a core-softened potential with competing length scales. The system stabilizes three distinct…

Soft Condensed Matter · Physics 2025-08-20 Alexandre Vargas , Thiago Puccinelli , José Rafael Bordin

In this paper we study an effective model for the normal state of iron-based superconductors. It has separate, but interacting itinerant and localized degrees of freedom, originating from the d_xz and d_yz, and from d_xy iron orbitals…

Strongly Correlated Electrons · Physics 2013-05-22 Valentin Stanev , Peter B. Littlewood

With the recent production of polar molecules in the quantum regime, long-range dipolar interactions are expected to facilitate the understanding of strongly interacting many-body quantum systems and to realize lattice spin models for…

Nematic phases, breaking spontaneously rotational symmetry, provide for ubiquitously observed states of matter in both classical and quantum systems. These nematic states may be further classified by their $N$--fold rotational invariance…

Strongly Correlated Electrons · Physics 2015-03-05 Ke Liu , Jaakko Nissinen , Zohar Nussinov , Robert-Jan Slager , Kai Wu , Jan Zaanen

Understanding the interplay between nematicity, magnetism and superconductivity is pivotal for elucidating the physics of iron-based superconductors. Here we use neutron scattering to probe magnetic and nematic orders throughout the phase…

Recently, complex phase transitions accompanied by the rotational symmetry breaking have been discovered experimentally in cuprate superconductors. To find the realized order parameters, we study various charge susceptibilities in an…

Strongly Correlated Electrons · Physics 2018-05-29 Masahisa Tsuchiizu , Kouki Kawaguchi , Youichi Yamakawa , Hiroshi Kontani

The question of the existence of order in two-dimensional isotropic dipolar Heisenberg antiferromagnets is studied. It is shown that the dipolar interaction leads to a gap in the spin-wave energy and a nonvanishing order parameter. The…

Condensed Matter · Physics 2009-10-22 C. Pich , F. Schwabl

We numerically investigate heating-and-cooling quenches taking place entirely in the non-ordered phase of the discrete Gross-Pitaevskii equation on a three-dimensional cubic lattice. In equilibrium, this system exhibits a U(1)-ordering…

Quantum Gases · Physics 2022-11-30 Andrei E. Tarkhov , A. V. Rozhkov , Boris V. Fine

We consider the effects of the non-local Ising-like "core spin" correlations on the order-parameter fluctuation contribution to the resistivity and thermodynamics of metals showing Ising-like order at finite temperature. We employ the…

Superconductivity · Physics 2010-10-07 Mukul S. Laad , Luis Craco

Recent studies have brought $\alpha$-RuCl$_3$ to the forefront of experimental searches for materials realizing Kitaev spin-liquid physics. This material exhibits strongly anisotropic exchange interactions afforded by the spin-orbit…

Strongly Correlated Electrons · Physics 2018-02-21 Stephen M. Winter , Kira Riedl , David Kaib , Radu Coldea , Roser Valenti

We study the layered $J_1$-$J_2$ classical Heisenberg model on the square lattice using a self-consistent bond theory. We derive the phase diagram for fixed $J_1$ as a function of temperature $T$, $J_2$ and interplane coupling $J_z$. Broad…

Strongly Correlated Electrons · Physics 2019-05-15 Olav F. Syljuåsen , Jens Paaske , Michael Schecter

The properties of a phase at finite interactions can be significantly influenced by the underlying dispersion of the non-interacting Hamiltonian. We demonstrate this by studying the repulsive Hubbard model on the $2$D Lieb lattice, which…

Strongly Correlated Electrons · Physics 2017-12-27 Pramod Kumar , Tuomas I. Vanhala , Päivi Törmä

We consider a two-dimensional interacting Fermi system which displays a nematic phase within mean-field theory. The system is analyzed using a non-perturbative renormalization-group scheme. We find that order-parameter fluctuations can…

Strongly Correlated Electrons · Physics 2015-05-20 Hiroyuki Yamase , Pawel Jakubczyk , Walter Metzner

We study critical properties of the Kitaev-Heisenberg model on the honeycomb lattice at finite temperatures which might describe the physics of the quasi two-dimensional compounds, Na$_2$IrO$_3$ and Li$_2$IrO$_3$. The model undergoes two…

Strongly Correlated Electrons · Physics 2015-06-05 Craig Price , Natalia B. Perkins