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We propose a family of layered quantum spin-orbital models as a platform to study fractionalization, unconventional forms of symmetry-breaking order, and their possible coexistence. The models are built by stacking $N$ layers of a…

Strongly Correlated Electrons · Physics 2026-05-25 Pedro M. Cônsoli , Aayush Vijayvargia , Onur Erten

We analyse the dynamical response of a range of 3D Kitaev quantum spin-liquids, using lattice models chosen to explore the different possible low-energy spectra for gapless Majorana fermions, with either Fermi surfaces, nodal lines or Weyl…

Strongly Correlated Electrons · Physics 2016-06-29 A. Smith , J. Knolle , D. L. Kovrizhin , J. T. Chalker , R. Moessner

We report variational Monte Carlo calculations for the spin-$\frac{1}{2}$ Heisenberg model on the kagome lattice in the presence of both nearest-neighbor $J_1$ and next-nearest-neighbor $J_2$ antiferromagnetic superexchange couplings. Our…

Strongly Correlated Electrons · Physics 2015-01-13 Yasir Iqbal , Didier Poilblanc , Federico Becca

Motivated by recent experiments on Ba3NiSb2O9, we investigate possible quantum spin liquid ground states for spin S=1 Heisenberg models on the triangular lattice. We use Variational Monte Carlo techniques to calculate the energies of…

Strongly Correlated Electrons · Physics 2012-12-27 Samuel Bieri , Maksym Serbyn , T. Senthil , Patrick A. Lee

The quasi two-dimensional Mott insulator $\alpha$-RuCl$_3$ is proximate to the sought-after Kitaev quantum spin liquid (QSL). In a layer of $\alpha$-RuCl$_3$ on graphene the dominant Kitaev exchange is further enhanced by strain. Recently,…

Strongly Correlated Electrons · Physics 2021-03-24 V. Leeb , K. Polyudov , S. Mashhadi , S. Biswas , Roser Valenti , M. Burghard , J. Knolle

Recently there has been much effort in understanding topological phases of matter with gapless bulk excitations, which are characterized by topological invariants and protected intrinsic boundary states. Here we show that topological…

Strongly Correlated Electrons · Physics 2015-03-19 Robert Schaffer , Eric Kin-Ho Lee , Yuan-Ming Lu , Yong Baek Kim

We study bond energy correlation functions in an exactly solvable quantum spin model of Kitaev type on the kagome lattice with stable Fermi surface of partons proposed recently by Chua et al, Ref.\[arXiv:1010.1035]. Even though any spin…

Strongly Correlated Electrons · Physics 2015-03-17 Hsin-Hua Lai , Olexei I. Motrunich

For certain crystalline systems, most notably the organic compound EtMe3Sb[Pd(dmit)2]2, experimental evidence has accumulated of an insulating state with a high density of gapless neutral excitations that produce Fermi-liquid-like power…

Strongly Correlated Electrons · Physics 2013-04-09 Maissam Barkeshli , Hong Yao , Steven A. Kivelson

We unveil an interesting example of topological flat bands of Majorana fermions in quantum spin liquids. We study the Kitaev model on a periodically depleted honeycomb lattice, under a magnetic field within the perturbation theory. The…

Strongly Correlated Electrons · Physics 2025-10-10 Kiyu Fukui , Yukitoshi Motome

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

New physics can emerge in magnetic materials where quantum fluctuations are enhanced due to reduced dimensionality and strong frustration. One long sought example is the resonating-valence-bond (RVB) state, where atomic magnetic moments are…

Strongly Correlated Electrons · Physics 2013-07-19 Tian-Heng Han , Joel S. Helton , Shaoyan Chu , Daniel G. Nocera , Jose A. Rodriguez-Rivera , Collin Broholm , Young S. Lee

The quantum spin liquid is an enigmatic quantum state in insulating magnets, in which conventional long-range order is suppressed by strong quantum fluctuations. Recently, an unconventional phase transition was reported between the…

Strongly Correlated Electrons · Physics 2018-02-27 Petr A. Mishchenko , Yasuyuki Kato , Yukitoshi Motome

Motivated by recent experimental observations of Kondo resonances in cobalt atoms on single layer 1T-TaSe$_{2}$, we theoretically investigate the effect of coupling a U(1) quantum spin liquid with a spinon Fermi surface to a lattice of…

Strongly Correlated Electrons · Physics 2024-04-01 Xia-Ming Zheng , Mehdi Kargarian

We study the quantum phase diagram of the spin-$1/2$ Heisenberg model on the kagom\'e lattice with first-, second-, and third-neighbor interactions $J_1$, $J_2$, and $J_3$ by means of density matrix renormalization group. For small $J_2$…

Strongly Correlated Electrons · Physics 2015-04-23 Shou-Shu Gong , Wei Zhu , Leon Balents , D. N. Sheng

Recent work has shown that the triangular lattice spin-$1/2$ $J_1$-$J_2$ Heisenberg and XXZ antiferromagnets may exhibit coplanar or supersolid orders proximate to a gapless Dirac spin liquid phase. We explore a distinct…

Strongly Correlated Electrons · Physics 2025-06-05 Anjishnu Bose , Kathleen Hart , Ruairidh Sutcliffe , Arun Paramekanti

We present a study of a simple model antiferromagnet consisting of a sum of nearest neighbor SO($N$) singlet projectors on the Kagome lattice. Our model shares some features with the popular $S=1/2$ Kagome antiferromagnet but is…

Strongly Correlated Electrons · Physics 2020-01-15 Matthew S. Block , Jonathan D'Emidio , Ribhu K. Kaul

Motivated by the recent progress on the spin-orbit-coupled triangular lattice spin liquid candidate YbMgGaO4, we carry out a systematic projective symmetry group analysis and mean-field study of candidate U(1) spin liquid ground states. Due…

Strongly Correlated Electrons · Physics 2017-09-06 Yao Dong Li , Yuan-Ming Lu , Gang Chen

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 $C_p(T)$,…

In this paper, we explore the relationship between strong spin-orbit coupling and spin liquid physics. We study a very general model on the triangular lattice where spin-orbit coupling leads to the presence of highly anisotropic…

Strongly Correlated Electrons · Physics 2018-03-16 Jason Iaconis , Chunxiao Liu , Gábor B. Halász , Leon Balents

We write down a class of two-dimensional quantum spin-1/2 Hamiltonians whose eigenspectra are exactly solvable via the Jordan-Wigner transformation. The general structure corresponds to a suitable grid composed of XY or XX-Ising spin chains…

Strongly Correlated Electrons · Physics 2025-09-03 Sumiran Pujari
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