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We investigate the phase diagram of the anisotropic spin-1/2 triangular lattice antiferromagnet, with interchain diagonal exchange J' much weaker than the intrachain exchange J. We find that fluctuations lead to a competition between…

Strongly Correlated Electrons · Physics 2007-05-23 Oleg A. Starykh , Leon Balents

Magnetoelectric properties of a coupled spin-electron model on a doubly decorated square lattice in an external electric field applied along the crystallographic axis [11] are rigorously examined with the help of generalized…

Strongly Correlated Electrons · Physics 2018-12-26 Hana Čenčariková , Jozef Strečka

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

We analyze the zero temperature phase diagrams of the spin S quantum antiferromagnet on square and triangular lattices with competing nearest and next-nearest exchange interactions as well as biquadratic couplings. We approach the problem…

Strongly Correlated Electrons · Physics 2020-07-01 Yue Yu , Steven A. Kivelson

The behavior of the paradigmatic $J_1-J_2$ triangular lattice Heisenberg antiferromagnet in a magnetic field remains unsettled despite decades of study. We map out the phase diagram using three complementary approaches, including…

Strongly Correlated Electrons · Physics 2025-12-10 Thomas Bader , Shi Feng , Sasank Budaraju , Federico Becca , Johannes Knolle , Frank Pollmann

We consider the $S=1/2$ Heisenberg antiferromagnet on the Tasaki square lattice (flat-band spin system) and study its low-temperature thermodynamics around the saturation magnetic field. To this end, we construct a mapping of the ground…

Strongly Correlated Electrons · Physics 2026-05-05 Maksym Parymuda , Taras Krokhmalskii , Oleg Derzhko

For the weakly coupled S=1 antiferromagnetic Heisenberg chains on a simple cubic lattice, the effects of magnetic impurities are investigated by the quantum Monte Carlo method with the continuous-time loop algorithm. The transition…

Strongly Correlated Electrons · Physics 2009-11-10 Munehisa Matsumoto , Hajime Takayama

In this work we present a theoretical investigation into an antiferromagnetically coupled spin system, specifically ${\rm Cu}_{3}-X$ ($\mathrm{X=As,Sb}$), which exhibits an isosceles triangular configuration or slightly distorted…

Strongly Correlated Electrons · Physics 2025-04-25 G. A. Antonio , J. Torrico , A. S. da Mata , S. M. de Souza , Onofre Rojas

The magnetocaloric effect is studied at the transition to saturation in the antiferromagnetic spin-1/2 Heisenberg model on the simplest two-dimensional lattices, namely the square and the triangular lattice. Numerical results are presented…

Strongly Correlated Electrons · Physics 2007-05-23 A. Honecker , S. Wessel

We report a Monte Carlo study of the classical antiferromagnetic Heisenberg model with easy axis anisotropy on the triangular lattice. Both the free energy cost for long wavelength spin waves as well as for the formation of free vortices…

Statistical Mechanics · Physics 2009-10-31 W. Stephan , B. W. Southern

We study effects of quenched bond disorder in frustrated easy-plane antiferromagnets in two space dimensions, using a combination of analytical and numerical techniques. We consider local-moment systems which display non-collinear…

Strongly Correlated Electrons · Physics 2020-09-16 Santanu Dey , Eric C. Andrade , Matthias Vojta

Using Monte Carlo simulations and finite-size scaling, we investigate the XY antiferromagnet on the triangular, Union Jack and bisected-hexagonal lattices, and in each case find both Ising and Kosterlitz-Thouless transitions. As is…

Strongly Correlated Electrons · Physics 2013-02-25 Jian-Ping Lv , Timothy M. Garoni , Youjin Deng

The triangular lattice antiferromagnet RbFe(MoO$_4$)$_2$ orders antiferromagnetically in a planar 120$^\circ$-structure below $T_\textrm{N}\approx 4$ K. A striking feature of RbFe(MoO$_4$)$_2$ magnetic phase diagram is the presence of…

Strongly Correlated Electrons · Physics 2025-08-25 V. N. Glazkov , I. A. Krastilevskiy

We discuss the role of quantum fluctuations in Heisenberg antiferromagnets on face-centered cubic lattice with small dipolar interaction in which the next-nearest-neighbor exchange coupling dominates over the nearest-neighbor one. It is…

Strongly Correlated Electrons · Physics 2016-05-11 L. A. Batalov , A. V. Syromyatnikov

We report our theoretical results on the emergence of a partially-disordered state at zero temperature and its detailed nature in the periodic Anderson model on a triangular lattice at half filling. The partially-disordered state is…

Strongly Correlated Electrons · Physics 2015-05-28 Satoru Hayami , Masafumi Udagawa , Yukitoshi Motome

We show that a weak periodic drive removes the accidental degeneracy in the ground state of the XY antiferromagnet on the triangular lattice in a uniform static magnetic field. The underlying mechanism involves adding a small periodically…

Strongly Correlated Electrons · Physics 2018-12-04 Yuan Wan , Roderich Moessner

Magnetic and electronic properties of a Kondo lattice model with Ising localized spins are studied on an isotropic triangular lattice. By using Monte Carlo simulation, we present that the model shows a rich phase diagram with four dominant…

Strongly Correlated Electrons · Physics 2013-05-03 Hiroaki Ishizuka , Yukitoshi Motome

The stability of antiferromagnetic long-range order against quenched disorder is considered. A simple model of an antiferromagnet with a spatially varying Neel temperature is shown to possess a nontrivial fixed point corresponding to…

Statistical Mechanics · Physics 2009-10-28 T. R. Kirkpatrick , D. Belitz

The effect of non-magnetic impurities is discussed for both the two-leg Heisenberg ladder system and other spin liquids with excitation gap. It is shown that the random depletion of spins introduces a random Berry phase term to the…

Condensed Matter · Physics 2009-10-28 N. Nagaosa , A. Furusaki , M. Sigrist , H. Fukuyama

The spin-1/2 Ising-Heisenberg model on martini and martini-diced lattice is exactly solved using a star-triangle transformation, which affords an exact mapping correspondence to an effective spin-1/2 Ising model on a triangular lattice. The…

Statistical Mechanics · Physics 2022-03-23 Hamid Arian Zad , Jozef Strecka