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Recent investigations of the magnetic properties and the discovery of superconductivity in quasi-one-dimensional triangular lattice organic charge-transfer solids have indicated the severe limitations of the effective 1/2-filled band…

Strongly Correlated Electrons · Physics 2019-10-01 R. T. Clay , N. Gomes , S. Mazumdar

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

Charge ordering (CO) with long-periodicities in a geometrically frustrated system, theta-(BEDT-TTF)2X, is numerically studied. We consider interacting fermion models on the anisotropic triangular lattice: the extended Hubbard model and the…

Strongly Correlated Electrons · Physics 2015-06-18 Makoto Naka , Hitoshi Seo

A Hubbard model at half-filling on an anisotropic triangular lattice has been proposed as the minimal model to describe conducting layers of $\kappa-(BEDT-TTF)_2X$ organic materials. The model interpolates between the square lattice and…

Superconductivity · Physics 2016-04-20 Shan-Wen Tsai , J. B. Marston

We study the critical behavior of a frustrated Blume-Capel (BC) antiferromagnet on a triangular lattice by Monte Carlo simulations. For a reduced single-ion anisotropy strength $-1.47 \lesssim d < 0$ we find two phase transitions. The…

Statistical Mechanics · Physics 2013-04-01 M. Žukovič , A. Bobák

Effects of geometrical frustration in low-dimensional charge ordering systems are theoretically studied, mainly focusing on dynamical properties. We treat extended Hubbard models at quarter-filling, where the frustration arises from…

Strongly Correlated Electrons · Physics 2007-05-23 Hitoshi Seo , Kenji Tsutui , Masao Ogata , Jaime Merino

In two-dimensional (2D) ferromagnets, anisotropy is essential for the magnetic ordering as dictated by the Mermin-Wagner theorem. But when competing anisotropies are present, the phase transition becomes nontrivial. Here, utilizing highly…

Mesoscale and Nanoscale Physics · Physics 2022-12-19 S. Y. Wang , Y. Wang , S. H. Yan , C. Wang , B. K. Xiang , K. Y. Liang , Q. S. He , K. Watanabe , T. Taniguchi , S. J. Tian , H. C. Lei , W. Ji , Y. Qi , Y. H. Wang

Motivated by the various physical properties observed in $\theta$-(BEDT-TTF)$_2$X, we study the ground state of extended Hubbard model on two-dimensional anisotropic triangular lattice at 1/4-filling with variational Monte Carlo method. It…

Strongly Correlated Electrons · Physics 2007-05-23 Hiroshi Watanabe , Masao Ogata

We study the $J_1$-$J_2$ Ising model on the honeycomb lattice, considering ferromagnetic interactions between first neighbors ($J_1$) and antiferromagnetic interactions between second neighbors ($J_2$). Our analysis is based on the…

Statistical Mechanics · Physics 2025-09-29 Carlos H. D. Batista , M. Schmidt , F. M. Zimmer

The triangular lattice of S=1/2 spins with XXZ anisotropy is a ubiquitous model for various frustrated systems in different contexts. We determine the quantum phase diagram of the model in the plane of the anisotropy parameter and the…

Strongly Correlated Electrons · Physics 2014-04-04 Daisuke Yamamoto , Giacomo Marmorini , Ippei Danshita

We discuss theoretically a frustrated Heisenberg antiferromagnet in magnetic field close to the saturation one. It is demonstrated that a small biaxial anisotropy and/or the magnetic dipolar interaction produce a delicate balance between…

Strongly Correlated Electrons · Physics 2021-02-24 O. I. Utesov , A. V. Syromyatnikov

To verify the effect of geometrical frustration, we artificially distort the triangular lattice of quasi-two-dimensional organic conductor $\kappa$-(BEDT-TTF)$_2$Cu$_2$(CN)$_3$ [BEDT-TTF: bis(ethylenedithio)terathiofulvalene] by…

Strongly Correlated Electrons · Physics 2018-11-26 Y. Saito , T. Minamidate , A. Kawamoto , N. Matsunaga , K. Nomura

The qualitative aspects of the phase diagram of the Ising model on the cubic lattice, with ferromagnetic nearest-neighbor interactions ($J_{1}$) and antiferromagnetic next-nearest-neighbor couplings ($J_{2}$) are analyzed in the plane…

The suppression of antiferromagnetic ordering in geometrically frustrated Hubbard models leads to a variety of exotic quantum phases including quantum spin liquids and chiral states. Here, we focus on the Hubbard model on one of the…

Quantum Gases · Physics 2022-07-15 Davis Garwood , Jirayu Mongkolkiattichai , Liyu Liu , Jin Yang , Peter Schauss

We study geometrically frustrated antiferromagnets with magnetoelastic coupling. Frustration in these systems may be relieved by a structural transition to a low temperature phase with reduced lattice symmetry. We examine the statistical…

Strongly Correlated Electrons · Physics 2008-06-30 Timothy E. Saunders , John T. Chalker

The dynamics of charge carriers close to the Mott transition is explored theoretically and experimentally in the quasi two-dimensional organic charge-transfer salt $\kappa$-(BEDT-TTF)$_2$Cu[N(CN)$_2$]Br$_x$Cl$_{1-x}$, with varying Br…

Strongly Correlated Electrons · Physics 2009-11-13 J. Merino , M. Dumm , N. Drichko , M. Dressel , Ross H. McKenzie

We propose loading trapped ions into microtraps formed by an optical lattice. For harmonic microtraps, the Coulomb coupling of the spatial motions of neighboring ions can be used to construct a broad class of effective short-range…

Strongly Correlated Electrons · Physics 2008-06-01 Roman Schmied , Tommaso Roscilde , Valentin Murg , Diego Porras , J. Ignacio Cirac

We theoretically study the competition among different electronic phases in molecular conductors $\kappa$-(BEDT-TTF)$_2$X. The ground-state properties of a 3/4-filled extended Hubbard model with the $\kappa$-type geometry are investigated…

Superconductivity · Physics 2017-02-10 Hiroshi Watanabe , Hitoshi Seo , Seiji Yunoki

Granularity, anisotropy, local lattice distortions and their dependence on dopant concentration appear to be present in all cuprate superconductors, interwoven with the microscopic mechanisms responsible for superconductivity. Here we…

Superconductivity · Physics 2007-05-23 H. Keller , T. Schneider

Frustrated Mott insulators such as transition metal dichalcogenides present an ideal platform for the experimental realization of externally tuned insulator-metal transition. In this paper, we present the first nonperturbative numerical…

Strongly Correlated Electrons · Physics 2022-06-14 Madhuparna Karmakar , Nyayabanta Swain
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