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Related papers: Spin Liquid State in an Organic Mott Insulator wit…

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The three-dimensional $S = {\frac{1}{2}}$ system Y$_{3}$Cu$_{2}$Sb$_{3}$O$_{14}$ consists of two inequivalent Cu$^{2+}$ sites, each forming an edge shared triangular lattice. Our magnetic susceptibility $\chi(T)$, specific heat $C_p(T)$,…

Mott insulators are commonly pictured with electrons localized on lattice sites. Their low-energy degrees of freedom involve spins only. Here we observe emerging charge degrees of freedom in a molecule-based Mott insulator…

Motivated by experimental studies that have found signatures of a quantum spin liquid phase in organic crystals whose structure is well described by the two-dimensional triangular lattice, we study the Hubbard model on this lattice at half…

Strongly Correlated Electrons · Physics 2020-05-27 Aaron Szasz , Johannes Motruk , Michael P. Zaletel , Joel E. Moore

The Heisenberg-Kitaev (HK) model on the triangular lattice is conceptually interesting for its interplay of geometric and exchange frustration. HK models are also thought to capture the essential physics of the spin-orbital entanglement in…

Strongly Correlated Electrons · Physics 2015-04-29 Michael Becker , Maria Hermanns , Bela Bauer , Markus Garst , Simon Trebst

We study the competition between magnetic and spin-liquid phases in the Hubbard model on the anisotropic triangular lattice, which is described by two hopping parameters t and t' in different spatial directions and is relevant for layered…

Strongly Correlated Electrons · Physics 2013-05-30 Luca F. Tocchio , Hélène Feldner , Federico Becca , Roser Valentí , Claudius Gros

The interplay between spin frustration and charge fluctuation gives rise to an exotic quantum state in the intermediate-interaction regime of the half-filled triangular-lattice Hubbard model, while the nature of the state is under debate.…

Strongly Correlated Electrons · Physics 2022-10-05 Bin-Bin Chen , Ziyu Chen , Shou-Shu Gong , D. N. Sheng , Wei Li , Andreas Weichselbaum

We formulate a U(1) gauge theory of the Hubbard model in the slave-rotor representation. From this formalism it is argued that spin liquid phases may exist near the Mott transition in the Hubbard model on triangular and honeycomb lattices…

Strongly Correlated Electrons · Physics 2007-05-23 Sung-Sik Lee , Patrick A. Lee

We study magnetic and charge susceptibilities in the half-filled two-dimensional triangular Hubbard model within the dual fermion approximation in the metallic, Mott insulating, and crossover regions of parameter space. In the…

Strongly Correlated Electrons · Physics 2020-03-18 Shaozhi Li , Emanuel Gull

The electrodynamic response of organic spin liquids with highly-frustrated triangular lattices has been measured in a wide energy range. While the overall optical spectra of these Mott insulators are governed by transitions between the…

Strongly Correlated Electrons · Physics 2018-08-09 A. Pustogow , Y. Saito , E. Zhukova , B. Gorshunov , R. Kato , T. -H. Lee , S. Fratini , V. Dobrosavljević , M. Dressel

Inelastic neutron scattering studies in single crystals of TbInO3 and TbIn0.95Mn0.05O3 with nearly-triangular antiferromagnetic lattice are reported. At low energies, a broad and apparently gapless continuum of magnetic excitations, located…

Strongly Correlated Electrons · Physics 2019-07-10 M. G. Kim , B. Winn , S. Chi , A. T. Savici , J. A. Rodriguez-Rivera , W. C. Chen , X. Xu , Y. Li , J. W. Kim , S. -W. Cheong , V. Kiryukhin

The two-dimensional Hubbard model on the anisotropic triangular lattice, with two different hopping amplitudes $t$ and $t^\prime$, is relevant to describe the low-energy physics of $\kappa$-(ET)$_2$X, a family of organic salts. The…

Strongly Correlated Electrons · Physics 2015-05-13 Luca F. Tocchio , Alberto Parola , Claudius Gros , Federico Becca

The quantum spin-1/2 antiferromagnetic Heisenberg model on a two dimensional triangular lattice geometry with spatial anisotropy is relevant to describe materials like ${\rm Cs_2 Cu Cl_4}$ and organic compounds like…

Strongly Correlated Electrons · Physics 2011-11-09 Seiji Yunoki , Sandro Sorella

The spin-$1/2$ $J_1-J_2$ Heisenberg model on the square lattice represents one of the simplest examples in which the effets of magnetic interactions may suppress magnetic order, eventually leading to a pure quantum phase with no local order…

Strongly Correlated Electrons · Physics 2020-07-15 Francesco Ferrari , Federico Becca

The layered triangular lattice owing to $1:2$ order of $B$ and $B'$ sites in the triple perovskite $A_3 B B'_2$O$_9$ family provides an enticing domain for exploring the complex phenomena of quantum spin liquids (QSLs). We report a…

Strongly Correlated Electrons · Physics 2024-08-07 K. Bhattacharya , S. Mohanty , A. D. Hillier , M. T. F. Telling , R. Nath , M. Majumder

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

We study triangular lattice spin-1/2 system with antiferromagnetic Heisenberg and ring exchanges using variational approach focusing on possible realization of spin liquid states. Trial spin liquid wave functions are obtained by Gutzwiller…

Strongly Correlated Electrons · Physics 2009-11-10 Olexei I. Motrunich

The $120^0$ ordered antiferromagnetic state of the Hubbard model on a triangular lattice presents an interesting case of $U$-controlled competing interactions and frustration. The spin stiffness is found to vanish at $U^* _{\rm stiff}…

Strongly Correlated Electrons · Physics 2009-11-10 Avinash Singh

Condensed matter physicists have long sought a realistic two-dimensional (2D) magnetic system whose ground state is a {\it spin liquid}---a zero temperature state in which quantum fluctuations have melted away any form of magnetic order.…

Strongly Correlated Electrons · Physics 2012-08-16 Simeng Yan , David A. Huse , Steven R. White

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

Recent numerical work (Nature 464, 847 (2010)) indicates the existence of a spin liquid phase (SL) that intervenes between the antiferromagnetic and semimetallic phases of the half filled Hubbard model on a honeycomb lattice. To better…

Strongly Correlated Electrons · Physics 2011-08-18 B. K. Clark , D. A. Abanin , S. L. Sondhi