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The spin-1/2 Heisenberg model on the pyrochlore lattice is an iconic frustrated three-dimensional spin system with a rich phase diagram. Besides hosting several ordered phases, the model is debated to possess a spin-liquid ground state when…

Strongly Correlated Electrons · Physics 2021-11-16 Nikita Astrakhantsev , Tom Westerhout , Apoorv Tiwari , Kenny Choo , Ao Chen , Mark H. Fischer , Giuseppe Carleo , Titus Neupert

We present the quantum critical theory of an interacting nodal Fermi-liquid of quasi-relativisitc pseudo-spin-3/2 fermions that have a non-interacting birefringent spectrum with two distinct Fermi velocities. When such quasiparticles…

Mesoscale and Nanoscale Physics · Physics 2018-10-15 Bitan Roy , Malcolm P. Kennett , Kun Yang , Vladimir Juricic

We investigate the weak interaction integer quantum Hall (IQH) phase, the intermediate interaction phase identified as a chiral spin liquid (CSL) and the transition between them in the triangular lattice Hofstadter-Hubbard model at a…

Strongly Correlated Electrons · Physics 2026-02-10 Cesar A. Gallegos , Rafael M. Magaldi , Andrew Millis , Steven R. White

Recent experiments on triangular lattice organic Mott insulators have found evidence for a 2D spin liquid in proximity to the metal-insulator transition. A Gutzwiller wavefunction study of the triangular lattice Heisenberg model with…

Strongly Correlated Electrons · Physics 2013-05-29 D. N. Sheng , Olexei I. Motrunich , Matthew P. A. Fisher

We study the phase diagram and the dynamical spin structure factor of the spin-1/2 J1-J3 Heisenberg model on the square lattice using density matrix renormalization group, exact diagonalization (ED), and cluster perturbation theory (CPT).…

Strongly Correlated Electrons · Physics 2022-09-20 Muwei Wu , Shou-Shu Gong , Dao-Xin Yao , Han-Qing Wu

Electrical and magnetic properties of underdoped cuprates in the spin gap phase, a precursor to high Tc superconducting state, is riddled with puzzles. We propose a novel reference state to study this phase, where each hole dopant adds one…

Strongly Correlated Electrons · Physics 2007-09-07 G. Baskaran

We use a projective symmetry group analysis to determine all symmetric spin liquids on the stuffed honeycomb lattice Heisenberg model. This lattice interpolates between honeycomb, triangular and dice lattices, always preserving hexagonal…

Strongly Correlated Electrons · Physics 2020-03-10 Jyotisman Sahoo , Rebecca Flint

Fermionic valence bond approach in terms of SU(4) representation is proposed to describe the $J_{1}-J_{2}$ frustrated Heisenberg antiferromagnetic (AF) model on a {\it bipartite} square lattice. A uniform mean field solution without…

Strongly Correlated Electrons · Physics 2009-11-10 Guang-Ming Zhang , Hui Hu , Lu Yu

The possible ground states of the undoped and doped Kitaev-Heisenberg model on a triangular lattice are studied. For the undoped system, a combination of the numerical exact diagonalization calculation and the four-sublattice transformation…

Strongly Correlated Electrons · Physics 2015-04-20 Kai Li , Shun-Li Yu , Jian-Xin Li

Quantum spin liquids (QSLs) host exotic fractionalized magnetic and gauge-field excitations whose microscopic origins and experimental verification remain frustratingly elusive. In the absence of static magnetic order, the spin excitation…

Strongly Correlated Electrons · Physics 2026-03-31 Jiahang Hu , Runze Chi , Yibin Guo , B. Normand , Hai-Jun Liao , T. Xiang

A spin-1/2 Heisenberg model with a chirality-chirality interaction (CCI) on a two-leg ladder provides a minimal setup to explore an interplay between spin and chirality degrees of freedom. This model is potentially relevant for…

Strongly Correlated Electrons · Physics 2024-12-06 Mateo Fontaine , Shunsuke Furukawa

We present an exactly solvable spin-3/2 model defined on a pentacoordinated three-dimensional graphite lattice, which realizes a novel quantum spin liquid with second-order topology. The exact solutions are described by Majorana fermions…

Strongly Correlated Electrons · Physics 2020-06-01 Y. X. Zhao , Y. Lu , Shengyuan A. Yang

The ordering of the frustrated S=1/2 XY spin chain with the competing nearest- and next-nearest-neighbor antiferromagnetic couplings, J_1 and J_2, is studied by using the density-matrix renormalization-group method. It is found that besides…

Statistical Mechanics · Physics 2009-10-31 T. Hikihara , M. Kaburagi , H. Kawamura

We show that a chiral spin liquid spontaneously emerges in partially amorphous, polycrystalline, or ion-irradiated Kitaev materials. In these systems, time-reversal symmetry is broken spontaneously due to a non-zero density of plaquettes…

Strongly Correlated Electrons · Physics 2023-05-05 Adolfo G. Grushin , Cécile Repellin

We present a general review of the projective symmetry group classification of fermionic quantum spin liquids for lattice models of spin $S=1/2$. We then introduce a systematic generalization of the approach for symmetric $\mathbb{Z}_2$…

Strongly Correlated Electrons · Physics 2016-03-31 Samuel Bieri , Claire Lhuillier , Laura Messio

We investigate the nature of quantum phases arising in chiral interacting Hamiltonians recently realized in Rydberg atom arrays. We classify all possible fermionic chiral spin liquids with $\mathrm{U}(1)$ global symmetry using parton…

Strongly Correlated Electrons · Physics 2023-08-09 Poetri Sonya Tarabunga , Giuliano Giudici , Titas Chanda , Marcello Dalmonte

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

The infinite projected entangled simplex state (iPESS), a type of tensor network (TN) state, has been used successfully for simulating and characterizing {\it non-chiral} spin liquids on the kagome lattice. Here, we demonstrate that iPESS…

Strongly Correlated Electrons · Physics 2022-12-15 Sen Niu , Juraj Hasik , Ji-Yao Chen , Didier Poilblanc

We study the phase diagram of the frustrated Heisenberg model on the triangular lattice with nearest and next-nearest neighbor spin exchange coupling, on 3-leg ladders. Using the density-matrix renormalization-group method, we obtain the…

Strongly Correlated Electrons · Physics 2018-04-13 S. N. Saadatmand , B. J. Powell , I. P. McCulloch

Based on exact diagonalization and density matrix renormalization group (DMRG) method, we show that an anisotropic triangle lattice Heisenberg spin model has three distinct quantum phases. In particular, a spin-liquid phase is present in…

Strongly Correlated Electrons · Physics 2007-05-23 M. Q. Weng , D. N. Sheng , Z. Y. Weng , Robert J. Bursill