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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 perform a Gutzwiller projected wavefunction study for the spin-1/2 Heisenberg model on the Kagome lattice to compare energies of several spin-liquid states. The result indicates that a U(1)-Dirac spin-liquid state has the lowest energy.…

Strongly Correlated Electrons · Physics 2007-05-23 Ying Ran , Michael Hermele , Patrick A. Lee , Xiao-Gang Wen

Recent experiments on the organic compound $\kappa-(BEDT-TTF)_2 Cu_2 (CN)_3$ raise the possibility that the system may be described as a quantum spin liquid. Here we propose a pairing state caused by the `Amperean' attractive interaction…

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

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

Motivated by the recent numerical evidence[1] of a short-range resonating valence bond state in the honeycomb lattice Hubbard model, we consider Schwinger boson mean field theories of possible spin liquid states on honeycomb lattice. From…

Strongly Correlated Electrons · Physics 2017-06-20 Fa Wang

We study the transverse dynamical spin susceptibility of the two dimensional U(1) spinon Fermi surface spin liquid in a small applied Zeeman field. We show that both short-range interactions, present in a generic Fermi liquid, as well as…

Strongly Correlated Electrons · Physics 2020-01-15 Leon Balents , Oleg A. Starykh

A quantum spin liquid (QSL) is an exotic quantum state of matter characterized by fluctuating spins which may exhibit long-range entanglement. Among the possible host candidates for a QSL ground state, the $S$=1/2 kagome lattice…

Quantum spin-1/2 kagome Heisenberg antiferromagnet is the representative frustrated system possibly hosting a spin liquid. Clarifying the nature of this elusive topological phase is a key challenge in condensed matter, however, even…

Strongly Correlated Electrons · Physics 2015-06-16 Satoshi Nishimoto , Naokazu Shibata , Chisa Hotta

We compute the momentum resolved dynamical spin structure factor $S(k,\omega)$ of the SU(4) Heisenberg model on the honeycomb lattice assuming the $\pi$-flux Dirac spin liquid ground state by two methods: (i) variationally using Gutzwiller…

Strongly Correlated Electrons · Physics 2024-03-26 Dániel Vörös , Karlo Penc

The charge and spin patterns of a quantum dot embedded into a spin-orbit coupled quantum wire subject to a magnetic field are investigated. A Luttinger liquid theory is developed, taking into account open boundaries and finite magnetic…

Mesoscale and Nanoscale Physics · Physics 2015-09-17 F. M. Gambetta , N. Traverso Ziani , S. Barbarino , F. Cavaliere , M. Sassetti

We study a Kagome-like spin-$1/2$ Heisenberg ladder with competing ferromagnetic (FM) and antiferromagnetic (AFM) exchange interactions. Using the density-matrix renormalization group based calculations, we obtain the ground state phase…

Strongly Correlated Electrons · Physics 2021-05-13 Tomoki Yamaguchi , Yukinori Ohta , Satoshi Nishimoto

We examine the perennial quantum spin-liquid candidate $S=1/2$ Heisenberg antiferromagnet on the kagome lattice. Our study is based on achieving Lanczos diagonalization of the Hamiltonian on a $48$ site cluster in sectors with dimensions as…

Strongly Correlated Electrons · Physics 2019-10-31 Andreas M. Läuchli , Julien Sudan , Roderich Moessner

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…

We show that gapless spin liquids, which are potential candidates to describe the ground state of frustrated Heisenberg models in two dimensions, become trivial insulators on cylindrical geometries with an even number of legs. In…

Strongly Correlated Electrons · Physics 2021-05-20 Francesco Ferrari , Alberto Parola , Federico Becca

It is widely believed that the $U(1)$ spin liquid with a large spinon Fermi surface(SFS state) can be realized in the spin-$\frac{1}{2}$ $J_{1}-J_{4}$ model on the triangular lattice, when the ring exchange coupling $J_{4}$ is sufficiently…

Strongly Correlated Electrons · Physics 2024-03-27 Jianhua Yang , Tao Li

We argue for the existence of a liquid ground state in a class of square lattice models of orbitally degenerate insulators. Starting with the SU(4) symmetric Kugel-Khomskii model, we utilize a Majorana Fermion representation of spin-orbital…

Strongly Correlated Electrons · Physics 2009-08-22 Fa Wang , Ashvin Vishwanath

We explore spin-1/2 triangular antiferromagnets with both easy-plane and lattice exchange anisotropies by employing a dual vortex mapping followed by a fermionization of the vortices. Over a broad range of exchange anisotropy, this approach…

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

Paired states, trions and quarteting states in one-dimensional SU(4) attractive fermions are investigated via exact Bethe ansatz calculations. In particular, quantum phase transitions are identified and calculated from the quarteting phase…

Statistical Mechanics · Physics 2009-06-20 X. W. Guan , M. T. Batchelor , C. Lee , J. Y. Lee

We use the spin functional renormalization group to investigate the $J_1$-$J_2$ quantum Heisenberg model on a square lattice. By incorporating sum rules associated with the fixed length of the spin operators as well as the nontrivial…

Strongly Correlated Electrons · Physics 2024-05-08 Andreas Rückriegel , Dmytro Tarasevych , Peter Kopietz

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