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Motivated by recent numerical and experimental studies of the spin-1/2 Heisenberg antiferromagnet on kagome, we formulate a many-body model for fermionic spinons introduced by us earlier [Phys. Rev. Lett. 103, 187203 (2009)]. The spinons…

Strongly Correlated Electrons · Physics 2013-06-10 Zhihao Hao , Oleg Tchernyshyov

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

Despite rapid progress in understanding gapped topological states, much less is known about gapless topological phases of matter, especially in strongly correlated electrons. In this work we discuss a large class of robust gapless quantum…

Strongly Correlated Electrons · Physics 2018-03-23 Yuan-Ming Lu

We study a time-reversal invariant non-abelian spin-liquid state in an $SU (2)$ symmetric spin $S = 1$ quantum magnet on a triangular lattice. The spin-liquid is obtained by quantum disordering a non-collinear nematic state. We show that…

Strongly Correlated Electrons · Physics 2011-09-20 Tarun Grover , T. Senthil

We study the kagome antiferromagnet for quantum spin-1/2 with first J1, second J2 and third J3 neighbour exchanges, along the J2 = J3 = J line. We use Schwinger-boson mean-field theory for the precise determination of the phase diagram, and…

Strongly Correlated Electrons · Physics 2023-06-28 Tristan Lugan , Ludovic D. C. Jaubert , Masafumi Udagawa , Arnaud Ralko

We study Mott insulators of fermionic alkaline earth atoms, described by Heisenberg spin models with enhanced SU(N) symmetry. In dramatic contrast to SU(2) magnetism, more than two spins are required to form a singlet. On the square…

Quantum Gases · Physics 2009-09-25 Michael Hermele , Victor Gurarie , Ana Maria Rey

We give a complete classification of fully symmetric as well as chiral $\mathbb{Z}_2$ quantum spin liquids on the pyrochlore lattice using a projective symmetry group analysis of Schwinger boson mean-field states. We find 50 independent…

Strongly Correlated Electrons · Physics 2022-04-06 Benedikt Schneider , Jad C. Halimeh , Matthias Punk

Motivated by recent experimental and numerical evidences of deconfined quantum critical point and quantum spin-liquid states in spin-$1/2$ Heisenberg model on Shastry-Sutherland lattice, we studied possible symmetric spin liquid states and…

Strongly Correlated Electrons · Physics 2024-04-23 Ke Liu , Fa Wang

We study the spin-$1/2$ Heisenberg model on the triangular lattice with the nearest-neighbor $J_1 > 0$, the next-nearest-neighobr $J_2 > 0$ Heisenberg interactions, and the additional scalar chiral interaction $J_{\chi}(\vec{S}_i \times…

Strongly Correlated Electrons · Physics 2017-08-16 Shou-Shu Gong , W. Zhu , J. -X. Zhu , D. N. Sheng , Kun Yang

The Schwinger-boson theory of the frustrated square lattice antiferromagnet yields a stable, gapped $\mathbb{Z}_2$ spin liquid ground state with time-reversal symmetry, incommensurate spin correlations and long-range Ising-nematic order. We…

Strongly Correlated Electrons · Physics 2016-07-12 Shubhayu Chatterjee , Yang Qi , Subir Sachdev , Julia Steinberg

We present a family of electron-based coupled-wire models of bosonic orbifold topological phases, referred to as twist liquids, in two spatial dimensions. All local fermion degrees of freedom are gapped and removed from the topological…

Strongly Correlated Electrons · Physics 2023-04-05 Jeffrey C. Y. Teo , Yichen Hu

Quantum spin liquids are long-range entangled phases whose magnetic correlations are determined by strong quantum fluctuations. While an overarching principle specifying the precise microscopic coupling scenarios for which quantum…

Strongly Correlated Electrons · Physics 2020-01-08 Nils Niggemann , Max Hering , Johannes Reuther

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

Spin-orbital liquids provide an exactly solvable route to three-dimensional Z2 quantum spin liquids beyond the original Kitaev setting. Built from higher-dimensional Clifford-algebra representations, spin-orbital Hamiltonians can be…

Strongly Correlated Electrons · Physics 2026-02-09 Anna Sandberg , Lukas Rødland , Maria Hermanns

We argue that strongly correlated two dimensional electrons form a spin liquid in some regimes of density and temperature and give the theory of the magnetic properties of this spin liquid using the representation in terms of femions…

Condensed Matter · Physics 2007-05-23 L. B. Ioffe , A. J. Millis

We consider a chiral spin liquid constructed using the parton theory. This state supports non-Abelian anyons and neutral fermions, which share some similarities with the celebrated Moore-Read state. The edge physics of the parton state and…

Strongly Correlated Electrons · Physics 2022-09-19 Ying-Hai Wu , Hong-Hao Tu

Localized magnetic moments with crystal-field doublet or pseudo-spin 1/2 may arise in correlated insulators with even number of electrons and strong spin-orbit coupling. Such a non-Kramers pseudo-spin 1/2 is the consequence of crystalline…

Strongly Correlated Electrons · Physics 2013-11-13 Robert Schaffer , Subhro Bhattacharjee , Yong Baek Kim

In frustrated Ising magnets, classical spin liquids (CSLs) with macroscopic ground-state degeneracy can survive against conventional magnetic order, as exemplified by systems on triangular, kagome and pyrochlore lattices at zero field. Here…

We combine the pseudofermion functional renormalization group (PFFRG) method with a self-consistent Fock-like mean-field scheme to calculate low-energy effective theories for emergent spinon excitations in spin-1/2 quantum spin liquids.…

Strongly Correlated Electrons · Physics 2019-04-03 Max Hering , Jonas Sonnenschein , Yasir Iqbal , Johannes Reuther

In the physics of the Fractional Quantum Hall (FQH) effect, a zoo of Abelian topological phases can be obtained by varying the magnetic field. Aiming to reach the same phenomenology in spin-like systems, we propose a family of…