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The quantum antiferromagnet on the pyrochlore lattice offers an archetypal frustrated system, which potentially realizes a quantum spin liquid characterized by the absence of standard spontaneous symmetry breaking even at zero temperature,…

Strongly Correlated Electrons · Physics 2023-11-21 Rico Pohle , Youhei Yamaji , Masatoshi Imada

We study the effective spin-orbital model that describes the magnetism of 4$d^1$ or 5$d^1$ Mott insulators in ideal tricoordinated lattices. In the limit of vanishing Hund's coupling, the model has an emergent SU(4) symmetry which is made…

Strongly Correlated Electrons · Physics 2018-11-21 Willian M. H. Natori , Eric C. Andrade , Rodrigo G. Pereira

In a recent Letter, Hassan and S\'en\'echal [1] discussed the existence of a spin-liquid phase of the half-filled Hubbard model on the honeycomb lattice. Using schemes, such as the variational cluster approximation (VCA) and the cluster…

Strongly Correlated Electrons · Physics 2015-06-15 A. Liebsch

We present measurements on a series of materials, Li$_2$In$_{1-x}$Sc$_x$Mo$_3$O$_8$, that can be described as a 1/6th-filled breathing kagome lattice. Substituting Sc for In generates chemical pressure which alters the breathing parameter…

Strongly Correlated Electrons · Physics 2018-06-06 A. Akbari-Sharbaf , R. Sinclair , A. Verrier , D. Ziat , H. D. Zhou , X. F. Sun , J. A. Quilliam

The recent experimental detection of the onset of a dynamically prepared, gapped $Z_2$ quantum spin liquid on the ruby lattice brought the physics of frustrated magnetism and lattice gauge theory to Rydberg tweezer arrays (Semeghini et al,…

Strongly Correlated Electrons · Physics 2024-06-12 Zhenjiu Wang , Lode Pollet

We investigate the interplay between spin-orbit coupling and electron-electron interactions on the honeycomb lattice combining the cellular dynamical mean-field theory and its real space extension with analytical approaches. We provide a…

Strongly Correlated Electrons · Physics 2015-05-28 Wei Wu , Stephan Rachel , Wu-Ming Liu , Karyn Le Hur

Recent work shows that a quantum spin liquid can arise in realistic fermionic models on a honeycomb lattice. We study the quantum spin-1/2 Heisenberg honeycomb model, considering couplings J1, J2, and J3 up to third nearest neighbors. We…

Strongly Correlated Electrons · Physics 2015-05-27 Johannes Reuther , Dmitry Abanin , Ronny Thomale

We construct a tight-binding model of [(C$_2$H$_5$)$_3$NH]$_2$Cu$_2$(C$_2$O$_4$)$_3$ from Wannier orbital overlaps. Including interactions within the Jahn-Teller distorted Cu-centered $e_g$ Wannier orbitals leads to an effective Heisenberg…

Strongly Correlated Electrons · Physics 2022-05-24 A. C. Jacko , B. J. Powell

Quantum spin liquids are elusive long-range entangled states. Motivated by experiments in Rydberg quantum simulators, recent excitement has centered on the possibility of dynamically preparing a state with quantum spin liquid correlation…

Quantum Physics · Physics 2025-12-11 DinhDuy Vu , Dominik S. Kufel , Jack Kemp , Lode Pollet , Chris R. Laumann , Norman Y. Yao

Unlike conventional magnets where the magnetic moments are partially or completely static in the ground state, in a quantum spin liquid they remain in collective motion down to the lowest temperatures. The importance of this state is that…

A family of spin-orbit coupled honeycomb Mott insulators offers a playground to search for quantum spin liquids (QSLs) via bond-dependent interactions. In candidate materials, a symmetric off-diagonal $\Gamma$ term, close cousin of Kitaev…

Strongly Correlated Electrons · Physics 2021-06-07 Qiang Luo , Jize Zhao , Hae-Young Kee , Xiaoqun Wang

We introduce the idea of emergent lattices, where a simple lattice decouples into two weakly-coupled lattices as a way to stabilize spin liquids. In LiZn2Mo3O8, the disappearance of 2/3rds of the spins at low temperatures suggests that its…

Strongly Correlated Electrons · Physics 2013-11-27 Rebecca Flint , Patrick A. Lee

When an electronic system has strong correlations and a large spin-orbit interaction, it often exhibits a plethora of mutually competing quantum phases. How a particular quantum ground state is selected out of several possibilities is a…

We study the quantum spin liquid phase in a variant of the Kitaev model where the bonds of the honeycomb lattice are distributed in a Kekul\'e pattern. The system supports gapped and gapless Z_2 quantum spin liquids with interesting…

Strongly Correlated Electrons · Physics 2015-04-22 Eoin Quinn , Subhro Bhattacharjee , Roderich Moessner

We successfully synthesized ($p$-Py-V)[Cu(hfac)$_2$], a verdazyl-based complex. Molecular orbital calculations revealed five types of intermolecular interactions between the radical spins and two types of intramolecular interactions between…

We study the effect of coupling magnetic impurities to the honeycomb lattice spin-1/2 Kitaev model in its spin liquid phase. We show that a spin-S impurity coupled to the Kitaev model is associated with an unusual Kondo effect with an…

Strongly Correlated Electrons · Physics 2010-09-21 Kusum Dhochak , R. Shankar , V. Tripathi

A three-dimensional system of interacting spins typically develops static long-range order when it is cooled. If the spins are quantum (S = 1/2), however, novel quantum paramagnetic states may appear. The most highly sought state among them…

Strongly Correlated Electrons · Physics 2015-05-13 S. -H. Lee , H. Kikuchi , Y. Qiu , B. Lake , Q. Huang , K. Habicht , K. Kiefer

We study the spin texture of a generic helical liquid, the edge modes of a two-dimensional topological insulator with broken axial spin-symmetry. By considering honeycomb and square lattice realizations of topological insulators, we show…

Mesoscale and Nanoscale Physics · Physics 2015-06-10 Alexia Rod , Thomas L. Schmidt , Stephan Rachel

In this paper we analyze the groundstate and finite-temperature properties of a frustrated Heisenberg $J_1-J_2$ model on a honeycomb lattice by employing the Schwinger boson technique. The phase diagram and spin gap as functions of…

Strongly Correlated Electrons · Physics 2015-05-28 Xiang-Long Yu , Da-Yong Liu , Peng Li , Liang-Jian Zou

Based on experimental data and our theoretical analysis, we provide a strategy for unambiguous establishing of gapless quantum spin liquid state (QSL) in herbertsmithite and other materials. To clarify the nature of QSL, we recommend…

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