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Based on the recent experiments on the triangular lattice antiferromagnet Na$_2$BaCo(PO$_4$)$_2$, we propose the easy-axis XXZ spin-1/2 model on the triangular lattice, that exhibits a quantum spin supersolid, to be a precursory Dirac spin…

Strongly Correlated Electrons · Physics 2024-07-19 Haichen Jia , Bowen Ma , Zidan Wang , Gang Chen

By using the density matrix renormalization group, we study the spin-liquid phases of spin-$1/2$ XXZ kagome antiferromagnets. We find that the emergence of spin liquid phase does not depend on the anisotropy of the XXZ interaction. In…

Strongly Correlated Electrons · Physics 2015-01-23 Yin-Chen He , Yan Chen

Chiral spin liquids (CSLs) are exotic phases of interacting spins in two dimensions, characterized by long-range entanglement and fractional excitations. We construct a local Hamiltonian on the triangular lattice that stabilizes the…

Strongly Correlated Electrons · Physics 2025-12-10 Tingyu Gao , Niklas Tausendpfund , Erik L. Weerda , Jan Naumann , Matteo Rizzi , David F. Mross

Spin liquids are conventionally described by gauge theories with a vector gauge field. However, there exists a wider class of spin liquids with higher rank tensors as the gauge variable. In this work, we focus on (3+1)-dimensional spin…

Strongly Correlated Electrons · Physics 2017-03-29 Michael Pretko

We propose a finite-temperature phase diagram for the 2D spin-$1/2$ $J_1-J_2$ $XXZ$ antiferromagnet on the triangular lattice. Our analysis, based on a composite fermion representation, yields several phases. This includes a…

Strongly Correlated Electrons · Physics 2020-07-23 Tigran A. Sedrakyan , Roderich Moessner , Alex Kamenev

We investigate the quantum antiferromagnetism arising from algebraic spin liquid via spontaneous chiral symmetry breaking. We claim that in the antiferromagnet massive Dirac spinons can appear to make broad continuum spectrum at high…

Strongly Correlated Electrons · Physics 2009-11-11 Ki-Seok Kim

Spin liquids are exotic phases of matter that often support emergent gauge fields and quasi-particle excitations. While spin liquids are commonly known for remaining disordered, their definition has been extended to include phases with…

Strongly Correlated Electrons · Physics 2021-12-28 E. Lhotel , L. D. C. Jaubert , P. C. W. Holdsworth

The spin-1/2 Heisenberg antiferromagnetic chain is ideal for realizing one of the simplest gapless quantum spin-liquids (QSLs), supporting a many-body ground state whose elementary excitations are fractional fermionic excitations called…

Strongly Correlated Electrons · Physics 2020-07-01 Thao T. Tran , Chris A. Pocs , Yubo Zhang , Michal J. Winiarski , Jianwei Sun , Minhyea Lee , Tyrel M. McQueen

We use a family of critical spin chain models discovered recently by one of us [M. Greiter, Mapping of Parent Hamiltonians, Springer, Berlin/Heidelberg 2011] to propose and elaborate that non-Abelian, SU(2) level $k=2S$ anyon statistics…

Strongly Correlated Electrons · Physics 2019-09-06 Martin Greiter , F. D. M. Haldane , Ronny Thomale

We consider an exchange model describing two isotropic spin-1/2 Heisenberg antiferromagnets coupled by a quartic term on the square lattice. The model is relevant for systems with orbital degeneracy and strong electron-vibron coupling in…

Strongly Correlated Electrons · Physics 2009-10-31 G. Santoro , S. Sorella , L. Guidoni , A. Parola , E. Tosatti

We use Schwinger boson mean field theory to study the antiferromagnetic spin-1/2 Heisenberg model on an anisotropic triangular lattice in the presence of a uniform external magnetic field. We calculate the field dependence of the spin…

Strongly Correlated Electrons · Physics 2009-11-07 S. Q. Shen , F. C. Zhang

Fluid of spin-1/2 fermions is represented by a complex scalar field and a four-vector field coupled both to the scalar and the Dirac fields. We present the underlying action and show that the resulting equations of motion are identical to…

High Energy Physics - Theory · Physics 2021-11-16 Ö. F. Dayi , E. Kilinçarslan

We construct an exactly solvable spin-orbital model on a decorated square lattice that realizes an SU(2)-invariant Majorana spin liquid with parton Fermi surfaces, of the kind discussed recently by Biswas et al. [ Phys. Rev. B. {\bf 83},…

Strongly Correlated Electrons · Physics 2011-09-29 Hsin-Hua Lai , Olexei I. Motrunich

We study the spin-$1/2$ Heisenberg model on the triangular lattice with the antiferromagnetic first ($J_1$) and second ($J_2$) nearest-neighbor interactions using density matrix renormalization group. By studying the spin correlation…

Strongly Correlated Electrons · Physics 2015-10-07 Wen-Jun Hu , Shou-Shu Gong , Wei Zhu , D. N. Sheng

Recently, a number of experiments indicate the possible presence of spin liquid phases in quantum magnets with spin-1/2 and spin-1 moments sitting on triangular-lattice-based structures in Ba3CuSb2O9 and Ba3NiSb2O9 respectively. In relation…

Strongly Correlated Electrons · Physics 2013-06-04 Kyusung Hwang , Tyler Dodds , Subhro Bhattacharjee , Yong Baek Kim

We study quantum-fluctuation-driven fractionalized phases in the vicinity of altermagnetic order. First, the long-range magnetic orders in the vicinity of collinear altermagnetism are identified; these feature a non-coplanar "orbital…

Strongly Correlated Electrons · Physics 2025-05-19 João Augusto Sobral , Subrata Mandal , Mathias S. Scheurer

We study fermionic quantum spin liquids (QSLs) on the three-dimensonal trillium lattice of corner-sharing triangles. We are motivated by recent experimental and theoretical investigations that have explored various classical and quantum…

Strongly Correlated Electrons · Physics 2024-09-05 Ming-Hao Li , Sounak Biswas , S. A. Parameswaran

We describe square lattice spin liquids which break time-reversal symmetry, while preserving translational symmetry. The states are distinguished by the manner in which they transform under mirror symmetries. All the states have non-zero…

Strongly Correlated Electrons · Physics 2018-12-19 Mathias S. Scheurer , Subir Sachdev

The pseudogap metal phase of the hole-doped cuprates can be described by small Fermi surfaces of electron-like quasiparticles, which enclose a volume violating the Luttinger relation. This violation requires the existence of additional…

Strongly Correlated Electrons · Physics 2023-11-21 Alexander Nikolaenko , Jonas von Milczewski , Darshan G. Joshi , Subir Sachdev

Motivated by recent experiments on the Heisenberg S=1/2 quantum spin liquid candidate material kapellasite, we classify all possible chiral (time-reversal symmetry breaking) spin liquids with fermionic spinons on the kagome lattice. We…

Strongly Correlated Electrons · Physics 2016-02-05 Samuel Bieri , Laura Messio , Bernard Bernu , Claire Lhuillier
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