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We construct a family of 1D and 2D long-range SU(2) spin models as parent Hamiltonians associated with infinite dimensional matrix product states that arise from simple current correlation functions in $SU(2)_k$ WZW models. Our results…

Strongly Correlated Electrons · Physics 2020-06-03 Thomas Quella , Abhishek Roy

Insulating $\mathbb{Z}_2$ spin liquids are a phase of matter with bulk anyonic quasiparticle excitations and ground state degeneracies on manifolds with non-trivial topology. In this paper, we construct a time-reversal symmetric…

Strongly Correlated Electrons · Physics 2016-11-17 Aavishkar A. Patel , Debanjan Chowdhury

We calculate dynamical spin structure factors for gapped chiral spin liquid states in the spin-1/2 Heisenberg antiferromagnet on the kagome lattice using Schwinger-boson mean-field theory. In contrast to static (equal-time) structure…

Strongly Correlated Electrons · Physics 2016-09-15 Jad C. Halimeh , Matthias Punk

Abelian and non-Abelian topological phases exhibiting protected chiral edge modes are ubiquitous in the realm of the Fractional Quantum Hall (FQH) effect. Here, we investigate a spin-1 Hamiltonian on the square lattice which could,…

Strongly Correlated Electrons · Physics 2018-11-14 Ji-Yao Chen , Laurens Vanderstraeten , Sylvain Capponi , Didier Poilblanc

We revisit the challenging problem of identifying the quantum spin liquid candidate in the spin-1/2 $J_1$-$J_2$ Heisenberg antiferromagnet on the square lattice. By integrating the Gutzwiller-guided density matrix renormalization group…

Strongly Correlated Electrons · Physics 2025-03-11 Hui-Ke Jin , Hong-Hao Tu , Ya-Hui Zhang

Strongly correlated two dimensional electrons are believed to form a spin liquid in some regimes of density and temperature. As the density is varied, one expects a transition from this spin liquid state to a spin density wave…

Condensed Matter · Physics 2009-10-28 B. L. Altshuler , L. B. Ioffe , A. I. Larkin , A. J. Millis

Strongly correlated materials with strong spin-orbit coupling hold promise for realizing topological phases with fractionalized excitations. Here we propose a chiral spin-orbital liquid as a stable phase of a realistic model for…

Strongly Correlated Electrons · Physics 2016-07-04 W. M. H. Natori , E. C. Andrade , E. Miranda , R. G. Pereira

We revisit the fermionic parton approach to S = 1/2 quantum spin liquids with SU(2) spin rotation symmetry, and the associated projective symmetry group (PSG) classification. We point out that the existing PSG classification is incomplete;…

Strongly Correlated Electrons · Physics 2012-03-19 Gang Chen , Andrew Essin , Michael Hermele

We study $S=1$ spin liquid states on the kagome lattice constructed by Gutzwiller-projected $p_x+ip_y$ superconductors. We show that the obtained spin liquids are either non-Abelian or Abelian topological phases, depending on the topology…

Strongly Correlated Electrons · Physics 2018-06-01 Zheng-Xin Liu , Hong-Hao Tu , Ying-Hai Wu , Rong-Qiang He , Xiong-Jun Liu , Yi Zhou , Tai-Kai Ng

We propose a critical spin liquid ground state for S=1/2 antiferromagnets on the square lattice. In a renormalization group analysis of the `staggered flux' algebraic spin liquid, we examine perturbations, present in the antiferromagnet,…

Strongly Correlated Electrons · Physics 2009-11-13 Cenke Xu , Subir Sachdev

We construct a two-dimensional (2D) lattice model that is argued to realize a gapped chiral spin liquid with (Ising) non-Abelian topological order. The building blocks are spin-1/2 two-leg ladders with $SU(2)$-symmetric spin-spin…

Strongly Correlated Electrons · Physics 2017-12-19 Po-Hao Huang , Jyong-Hao Chen , Adrain E. Feiguin , Claudio Chamon , Christopher Mudry

We study an extended spin-$1/2$ antiferromagnetic Heisenberg model on the triangular lattice, which includes both nearest- and next-nearest-neighbor interactions, as well as a scalar chiral term. This model exhibits a rich phase diagram…

Strongly Correlated Electrons · Physics 2025-08-26 Markus Drescher , Laurens Vanderstraeten , Roderich Moessner , Frank Pollmann

We introduce an exactly solvable SU(2) symmetric Kitaev model with exotic spin excitations. With time reversal symmetry (TRS), the ground state is a spin liquid with gapless or gapped spin-1 but fermionic excitations. When TRS is broken,…

Strongly Correlated Electrons · Physics 2011-08-29 Hong Yao , Dung-Hai Lee

Many popular models of fractionalized spin liquids contain neutral fermionic spinon excitations on a Fermi surface, carrying unit charges under a compact U(1) gauge force. We argue that instanton effects generically render such states…

Strongly Correlated Electrons · Physics 2011-08-08 Igor F. Herbut , Babak H. Seradjeh , Subir Sachdev , Ganpathy Murthy

Motivated by inelastic neutron scattering data on Cs_2CuCl_4, we explore spin-1/2 triangular lattice antiferromagnets with both spatial and easy-plane exchange anisotropies, the latter due to an observed Dzyaloshinskii-Moriya interaction.…

Strongly Correlated Electrons · Physics 2009-11-11 Jason Alicea , Olexei I. Motrunich , Matthew P. A. Fisher

Motivated by a recent experiment on Cs2CuCl4, we study the spin dynamics of the spin-liquid phase of the spin-1/2 frustrated Heisenberg antiferromagnet on the anisotropic triangular lattice. There have been two different proposals for the…

Strongly Correlated Electrons · Physics 2009-11-10 Chung-Hou Chung , Klaus Voelker , Yong Baek Kim

Motivated by the possibility of finding a bosonic quantum spin liquid in the integer spin-$S$ Heisenberg-Kitaev model on the honeycomb lattice, we derive a Schwinger boson mean field theory involving both singlet and triplet pairing…

Strongly Correlated Electrons · Physics 2026-05-19 Arnaud Ralko , Jaime Merino

Using the Schwinger boson spin representation, we reveal a new aspect to the physics of a partially screened magnetic moment in a metal, as described by the spin $S$ Kondo model. We show that the residual ferromagnetic interaction between a…

Condensed Matter · Physics 2009-11-10 P. Coleman , C. Pepin

A novel approach to S =1/2 antiferromagnets with strong fluctuations based on the representation of spin-1/2 operators as bylinear forms of real (Majorana) fermions is suggested. This representation has the advantage of being irreducible…

Condensed Matter · Physics 2009-10-22 A. M. Tsvelik

The excitations of the Heisenberg antiferromagnetic spin chain in zero field are known as spinons. As pairwise-created fractionalized excitations, spinons are important in the understanding of inelastic neutron scattering experiments in…

Strongly Correlated Electrons · Physics 2016-05-31 Rogier Vlijm , Jean-Sébastien Caux