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We investigate the nature of the critical behaviour of the random-anisotropy Heisenberg model (RAM), which describes a magnetic system with random uniaxial single-site anisotropy, such as some amorphous alloys of rare earths and transition…

Disordered Systems and Neural Networks · Physics 2007-05-23 Francesco Parisen Toldin , Andrea Pelissetto , Ettore Vicari

We present a minimalistic equilateral triangular lattice model, from which we derive electron and exciton band structures for semiconducting transition-metal dichalcogenides. With explicit consideration of the exchange interaction, this…

Mesoscale and Nanoscale Physics · Physics 2026-05-12 Daniel Gunlycke , Frank Tseng

The electronic structure of the lightly hole-doped triangular-lattice moir\'e Hubbard model is studied within cluster perturbation theory (CPT) using 13-site clusters for a fixed doping concentration $p=1/13$ varying the Coulomb parameter…

Strongly Correlated Electrons · Physics 2025-09-26 V. I. Kuz'min , M. A. Visotin , S. G. Ovchinnikov

We study a model of hard-core bosons with frustrated nearest-neighbor hopping ($t$) and repulsion ($V$) on the triangular lattice. We argue for a supersolid ground state in the large repulsion ($V\gg|t|$) limit where a dimer representation…

Statistical Mechanics · Physics 2009-01-07 Fa Wang , Frank Pollmann , Ashvin Vishwanath

Frustrated magnetic compounds, in particular low-dimensional, are topical research due to persistent uncover of novel nontrivial quantum states and potential applications. The problem of this field is that many important results are…

Disordered Systems and Neural Networks · Physics 2019-08-22 V. E. Valiulin , A. V. Mikheyenkov , N. M. Chtchelkatchev , A. F. Barabanov

The two-dimensional frustrated next nearest neighbor Heisenberg model on the square lattice is a prime example for a spin system where quantum fluctuations can either destroy or stabilize magnetic order. The phase boundaries and staggered…

Strongly Correlated Electrons · Physics 2011-03-11 Burkhard Schmidt , Mohammad Siahatgar , Peter Thalmeier

The Kitaev model on the honeycomb lattice, while being integrable via the spin-fermion mapping, has generally resisted an analytical treatment of the far-from-equilibrium dynamics due to the extensive number of relevant configurations of…

Statistical Mechanics · Physics 2022-05-25 Oleksandr Gamayun , Oleg Lychkovskiy

The Heisenberg antiferromagnet on a two-dimensional triangular lattice is a paradigmatic problem in frustrated magnetism. Even in the classical limit, its properties are far from simple. The "120 degree" ground state favoured by the…

Strongly Correlated Electrons · Physics 2011-12-19 Luis Seabra , Tsutomu Momoi , Philippe Sindzingre , Nic Shannon

We show the importance of both strong frustration and spin-lattice coupling for the stabilization of magnetization plateaus in translationally invariant two-dimensional systems. We consider a frustrated spin-1/2 Heisenberg model coupled to…

Strongly Correlated Electrons · Physics 2009-11-13 Samuele Bissola , Valeria Lante , Alberto Parola , Federico Becca

Using a lattice-gas description of the low-energy degrees of freedom of the quantum Heisenberg antiferromagnet on the frustrated two-leg ladder and bilayer lattices we examine the magnetization process at low temperatures for these spin…

Strongly Correlated Electrons · Physics 2011-12-30 Oleg Derzhko , Taras Krokhmalskii , Johannes Richter

We study the phase diagram and multicritical behavior of anisotropic Heisenberg antiferromagnets on a square lattice in the presence of a magnetic field along the easy axis. We argue that, beside the Ising and XY critical lines, the phase…

Statistical Mechanics · Physics 2009-11-13 Andrea Pelissetto , Ettore Vicari

Longitudinal magnons are a distinct type of multipolar excitations in magnetic materials with large spins $S\ge 1$ and strong easy-axis anisotropy. These excitations have angular momentum $S^z = \pm 2S$ and can be viewed as a propagating…

Strongly Correlated Electrons · Physics 2026-02-20 A. El Mendili , T. Ziman , M. E. Zhitomirsky

We study a model of spins 1/2 on a square lattice, generalizing the quantum compass model via the addition of perturbing Heisenberg interactions between nearest neighbors, and investigate its phase diagram and magnetic excitations. This…

Strongly Correlated Electrons · Physics 2015-06-05 F. Trousselet , A. M. Oles , P. Horsch

We employ a variational Monte Carlo approach to efficiently obtain the dynamical structure factor for the spin-1/2 $J_1-J_2$ Heisenberg model on the square lattice. Upon increasing the frustrating ratio $J_2/J_1$, the ground state undergoes…

Strongly Correlated Electrons · Physics 2018-09-26 Francesco Ferrari , Federico Becca

We investigate the thermodynamics of a spin ladder model which possesses a free parameter besides the rung and leg couplings. The model is exactly solved by the Bethe Ansatz and exhibits a phase transition between a gapped and a gapless…

Statistical Mechanics · Physics 2007-05-23 A. P. Tonel , S. R. Dahmen , A. Foerster , A. L. Malvezzi

The recent neutron-scattering data for spin-wave dispersion in $\rm Ho Mn O_3$ are well described by an anisotropic Hubbard model on a triangular lattice with a planar (XY) spin anisotropy. Best fit indicates that magnetic excitations in…

Strongly Correlated Electrons · Physics 2015-06-25 Saptarshi Ghosh , Avinash Singh

We study the three-dimensional Ginzburg-Landau model of superconductivity for strong applied magnetic fields varying between the second and third critical fields. In this regime, it is known from physics that superconductivity should be…

Analysis of PDEs · Mathematics 2019-03-27 Søren Fournais , Jean-Philippe Miqueu , Xing-Bin Pan

We analyze the properties of low-energy bound states in the transverse-field Ising model and in the XXZ model on the square lattice. To this end, we develop an optimized implementation of perturbative continuous unitary transformations. The…

Strongly Correlated Electrons · Physics 2010-02-18 S. Dusuel , M. Kamfor , K. P. Schmidt , R. Thomale , J. Vidal

Motivated by experimental progress in pressure and strain tuning of quantum materials, we examine the thermodynamic response of frustrated magnets to uniaxial strain. Specifically, we study Ising and Heisenberg models on spatially…

Strongly Correlated Electrons · Physics 2026-05-18 Eric C. Andrade , Pedro M. Cônsoli , Matthias Vojta

We present a detailed investigation of an overlooked symmetry structure in non-collinear antiferromagnets that gives rise to an emergent quantum number for magnons. Focusing on the triangular-lattice Heisenberg antiferromagnet, we show that…

Strongly Correlated Electrons · Physics 2025-05-07 Bastián Pradenas , Grigor Adamyan , Oleg Tchernyshyov
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