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The Kitaev-Hubbard model of interacting fermions is defined on the honeycomb lattice and, at strong coupling, interpolates between the Heisenberg model and the Kitaev model. It is basically a Hubbard model with ordinary hopping $t$ and…

Strongly Correlated Electrons · Physics 2015-06-11 J. P. L. Faye , S. R. Hassan , D. Sénéchal

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

The entire magnetic phase diagram of the quasi two dimensional (2D) magnet on a distorted triangular lattice KFe(MoO4)2 is outlined by means of magnetization, specific heat, and neutron diffraction measurements. It is found that the spin…

We report the finding of a series of symmetry distinct spin liquid (SL) states and a rich phase diagram in a half-filled honeycomb lattice Hubbard model with spin-dependent hopping amplitude t'. We first study the magnetic instability of…

Strongly Correlated Electrons · Physics 2015-06-17 Long Liang , Ziqiang Wang , Yue Yu

Motivated by the search for chiral spin liquids (CSL), we consider a simple model defined on the kagome lattice of interacting SU(3) spins (in the fundamental representation) including two-site and three-site permutations between nearest…

Using infinite projected entangled pair states, we study the ground state phase diagram of the spin-1 bilinear-biquadratic Heisenberg model on the square lattice directly in the thermodynamic limit. We find an unexpected partially nematic…

Strongly Correlated Electrons · Physics 2017-11-01 Ido Niesen , Philippe Corboz

We study the phase diagram of the Yao-Lee model with Kitaev-type spin-orbital interactions in the presence of Dzyaloshinskii-Moriya interactions and external magnetic fields. Unlike the Kitaev model, the Yao-Lee model can still be solved…

Strongly Correlated Electrons · Physics 2024-01-15 Muhammad Akram , Emilian Marius Nica , Yuan-Ming Lu , Onur Erten

Although magnetically ordered at low temperatures, the spin-1/2 triangular antiferromagnet Cs_2CuCl_4 exhibits remarkable spin dynamics that strongly suggest proximity to a spin liquid phase. Here we address the question of whether a…

Strongly Correlated Electrons · Physics 2013-05-29 Jason Alicea , Matthew P. A. Fisher

We show that the topological gauge structure in the phase string theory of the {\rm t-J} model gives rise to a global phase diagram of antiferromagnetic (AF) and superconducting (SC) phases in a weakly doped regime. Dual confinement and…

Strongly Correlated Electrons · Physics 2007-05-23 Su-Peng Kou , Zheng-Yu Weng

We study the hole-doped Kitaev-Heisenberg chain using the density-matrix renormalization group. In the Kitaev-only limit, the bond-directional exchange itself promotes pairing, favoring spin-singlet and spin-triplet superconducting…

Strongly Correlated Electrons · Physics 2026-04-01 Cliò Efthimia Agrapidis , Satoshi Nishimoto

We study classical Heisenberg antiferromagnets with uniaxial exchange anisotropy and a cubic anisotropy term on simple cubic lattices in an external magnetic field using ground state considerations and extensive Monte Carlo simulations. In…

Statistical Mechanics · Physics 2015-05-13 G. Bannasch , W. Selke

Motivated by recent experiments on the frustrated quantum magnetic compound YbMgGaO4, we study an effective spin model on triangular lattice taking into account the effects of the spin-orbit coupling. We determine the classical ground-state…

Strongly Correlated Electrons · Physics 2016-11-17 Changle Liu , Xiaoqun Wang , Rong Yu

We numerically study the Heisenberg models on triangular lattices by extending it from the simplest equilateral lattice with only the nearest-neighbor exchange interaction. We show that, by including an additional weak next-nearest-neighbor…

Strongly Correlated Electrons · Physics 2021-07-26 Ryui Kaneko , Satoshi Morita , Masatoshi Imada

The characterization of quantum spin liquid phases in Kitaev materials has been a subject of intensive studies over the recent years, both theoretically and experimentally. Most theoretical studies have focused on an isotropically…

Strongly Correlated Electrons · Physics 2024-08-01 Matthias Gohlke , Jose Carlos Pelayo , Takafumi Suzuki

We consider 2D surface superconductivity in high magnetic fields parallel to the surface. We demonstrate that the spin-orbit interaction at the surface changes the properties of the inhomogeneous superconducting…

Superconductivity · Physics 2009-11-07 Victor Barzykin , Lev P. Gor'kov

We perform an exact diagonalization study of the spin-$1/2$ XXZ Heisenberg antiferromagnet on the kagome lattice at finite magnetization $m = \frac{2}{3}$ with an emphasis on the XY point ($J_z = 0$), and in the presence of a small chiral…

Strongly Correlated Electrons · Physics 2016-10-18 Krishna Kumar , Hitesh J. Changlani , Bryan K. Clark , Eduardo Fradkin

We extend the Yao-Kivelson decorated honeycomb lattice Kitaev model [Phys. Rev. Lett. 99,247203 (2007)] of an exactly solvable chiral spin liquid by including disordered exchange couplings. We have determined the phase diagram of this…

Strongly Correlated Electrons · Physics 2015-03-19 Victor Chua , Gregory A. Fiete

We investigate the phase diagram of a bilayer Kitaev honeycomb model with Ising interlayer interactions, deriving effective models via perturbation theory and performing Majorana mean-field theory calculations. We show that a diverse array…

Strongly Correlated Electrons · Physics 2024-04-30 Aayush Vijayvargia , Urban F. P. Seifert , Onur Erten

We present the dynamical spin structure factor of the antiferromagnetic spin-$\frac{1}{2}$ $J_1-J_2$ Heisenberg model on a triangular lattice obtained from large-scale matrix-product state simulations. The high frustration due to the…

Strongly Correlated Electrons · Physics 2023-12-11 Markus Drescher , Laurens Vanderstraeten , Roderich Moessner , Frank Pollmann

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