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The Hubbard model and its strong-coupling version, the Heisenberg one, have been widely studied on the triangular lattice to capture the essential low-temperature properties of different materials. One example is given by transition metal…

Strongly Correlated Electrons · Physics 2020-09-25 Luca F. Tocchio , Arianna Montorsi , Federico Becca

In the present paper, we study spin-${1 \over 2}$ antiferromagnetic (AF) Heisenberg model on layered anisotropic triangular lattice and obtain its phase structure. We use the Schwinger bosons for representing spin operators and also…

Strongly Correlated Electrons · Physics 2011-07-26 Kazuya Nakane , Takeshi Kamij , Ikuo Ichinose

In the quest for quantum spin liquids in three spatial dimensions (3D), we study the half-filled Hubbard model on the simple cubic lattice with hopping processes up to third neighbors. Employing the variational cluster approach (VCA), we…

Strongly Correlated Electrons · Physics 2016-02-17 Manuel Laubach , Darshan G. Joshi , Johannes Reuther , Ronny Thomale , Matthias Vojta , Stephan Rachel

Magnetic phase diagram and Mott transition are studied in the Hubbard model on the anisotropic triangular lattice at zero temperature and half-filling by the variational cluster approximation, taking into account N\'eel, 120$^\circ$ N\'eel,…

Strongly Correlated Electrons · Physics 2015-06-18 A. Yamada

Antiferromagnetic Heisenberg model on the triangular lattice is perhaps the best known example of frustrated magnets, but it orders at low temperatures. Recent density matrix renormalization group (DMRG) calculations find that next nearest…

Quantum Gases · Physics 2018-05-08 Ahmet Keles , Erhai Zhao

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

In Mott insulators, the strong electron-electron Coulomb repulsion prevents metallicity and charge excitations are gapped. In dimensions greater than one, their spins are usually ordered antiferromagnetically at low temperatures.…

Strongly Correlated Electrons · Physics 2012-10-02 D. Watanabe , M. Yamashita , S. Tonegawa , Y. Oshima , H. M. Yamamoto , R. Kato , I. Sheikin , K. Behnia , T. Terashima , S. Uji , T. Shibauchi , Y. Matsuda

Motivated by the recent discovery of a low temperature spin liquid phase in layered organic compound $\kappa$-(ET)$_2$Cu$_2$(CN)$_3$ which becomes a superconductor under pressure, we examine the phase transition of Mott insulating and…

Superconductivity · Physics 2007-05-23 J. Y. Gan , Yan Chen , F. C. Zhang

We have investigated the Mott transition in a quasi-two-dimensional Mott insulator EtMe$_3$P[Pd(dmit)$_2$]$_2$ with a spin-frustrated triangular lattice in hydrostatic pressure and magnetic field. In the pressure-temperature ($P$-$T$) phase…

Strongly Correlated Electrons · Physics 2009-11-11 Yasuhiro Shimizu , Hikota Akimoto , Hiroyuki Tsujii , Akiko Tajima , Reizo Kato

We investigate the classical antiferromagnetic Heisenberg model on the triangular lattice with up to third-nearest neighbor exchange couplings using the Nematic Bond Theory. This approach allows us to compute the free energy and the neutron…

Strongly Correlated Electrons · Physics 2026-04-27 Cecilie Glittum , Olav F. Syljuåsen

The dynamical dimer structure factor is an observable probing spin-singlet excitations of quantum magnets distinct from those commonly studied by the spin structure factor. We report the dimer response for the extended spin-$1/2$…

Strongly Correlated Electrons · Physics 2026-04-29 Markus Drescher , Laurens Vanderstraeten , Roderich Moessner , Frank Pollmann , Johannes Knolle

Unique features of non-magnetic insulator phase are shown, and phase diagram for t-t' Hubbard model on square lattice is presented. Using the path-integral renormalization group method, we find antiferromagnetic phase for small next-nearest…

Strongly Correlated Electrons · Physics 2007-05-23 Takahiro Mizusaki , Masatoshi Imada

We obtain the rich phase diagrams in the Hubbard model on the triangular Kagom\'e lattice as a function of interaction, temperature and asymmetry, by combining the cellular dynamical mean-field theory with the continuous time quantum Monte…

Strongly Correlated Electrons · Physics 2015-06-03 Yao-Hua Chen , Hong-Shuai Tao , Dao-Xin Yao , Wu-Ming Liu

The organic charge-transfer salt EtMe$_3$P[Pd(dmit)$_2$]$_2$ is a quasi-two-dimensional Mott insulator with localized spins $S$ = 1/2 residing on a distorted triangular lattice. Here we report measurements of the uniaxial thermal expansion…

Strongly Correlated Electrons · Physics 2014-01-14 Rudra Sekhar Manna , Mariano de Souza , Reizo Kato , Michael Lang

Using the strong coupling diagram technique, we find three phases of the half-filled isotropic Hubbard model on a triangular lattice at finite temperatures. The weak-interaction ($U\lesssim5t$) and strong-interaction ($U\gtrsim9t$) phases…

Strongly Correlated Electrons · Physics 2025-04-10 A. Sherman

We study the $S>1/2$ antiferromagnetic Heisenberg model on the 1/5-depleted square lattice as a function of the ratio of the intra-plaquette coupling to the inter-plaquette coupling. Using stochastic series expansion quantum Monte Carlo…

Strongly Correlated Electrons · Physics 2022-09-08 Jun-Han Huang , Zenan Liu , Han-Qing Wu , Dao-Xin Yao

We report on a phenomenological study of superfluid to Mott insulator transitions of bosons on the triangular lattice, focusing primarily on the interplay between Mott localization and geometrical charge frustration at 1/2-filling. A…

Strongly Correlated Electrons · Physics 2009-11-11 A. A. Burkov , Leon Balents

We show that the phase boundary between the paramagnetic metal and the nonmagnetic Mott insulator for the Hubbard model on a triangular lattice obtained by Yoshioka et al. in arXiv:0811.1575 does not correctly represent that of the…

Strongly Correlated Electrons · Physics 2008-11-25 Shinji Watanabe , Takahiro Mizusaki , Masatoshi Imada

The ground state of an S=1/2 antiferromagnetic Heisenberg model on a spatially anisotropic triangular lattice, which is an effective model of Mott insulators on a triangular layer of organic charge transfer salts or Cs2CuCl4, is numerically…

Strongly Correlated Electrons · Physics 2012-11-19 Kenji Harada

Experimental quest for the hypothetical "quantum spin liquid" state has recently met a few promising candidate materials including organic salts \kappa-(ET)2Cu2(CN)3 and EtMe3Sb[Pd(dmit)2]2, S=1/2 triangular-lattice Heisenberg…

Strongly Correlated Electrons · Physics 2015-06-17 Ken Watanabe , Hikaru Kawamura , Hiroki Nakano , Toru Sakai
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