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Related papers: A chiral spin liquid wave function and the Lieb-Sc…

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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

Based on the Wigner function in local equilibrium, we derive hydrodynamical quantities for a system of polarized spin-1/2 particles: the particle number current density, the energy-momentum tensor, the spin tensor, and the dipole moment…

High Energy Physics - Theory · Physics 2021-12-22 Hao-Hao Peng , Jun-Jie Zhang , Xin-Li Sheng , Qun Wang

We investigate the stability and the nature of the chiral spin liquids which were recently uncovered in extended Heisenberg models on the kagome lattice. Using a Gutzwiller projected wave function approach -- i.e. a parton construction --…

Strongly Correlated Electrons · Physics 2015-09-23 Alexander Wietek , Antoine Sterdyniak , Andreas M. Läuchli

The chiral-induced spin selectivity (CISS) effect, a phenomenon where the chirality of molecules imparts significant spin selectivity to electron transfer processes, has garnered increasing interest among the chemistry, biology, and physics…

Chemical Physics · Physics 2025-09-05 Tian-Yi Zhang , Yue Mao , Ai-Min Guo , Qing-Feng Sun

Lieb, Schultz and Mattis (LSM) studied the S=1/2 XXZ spin chain. Theorems of LSM's paper can be applied to broader models. In the original LSM theorem it was assumed the nonfrustrating system. However, reconsidering the LSM theorem, we can…

Statistical Mechanics · Physics 2015-09-29 Kiyohide Nomura , Junpei Morishige , Takaichi Isoyama

In this work we study the crystal symmetry fractionalization in chiral spin liquids with the chiral-semion topological order. We show that if such a chiral spin liquid is realized in a two-dimensional lattice model with odd number of…

Strongly Correlated Electrons · Physics 2015-11-26 Lukasz Cincio , Yang Qi

We consider the spin rotationally invariant Kalmeyer-Laughlin chiral spin liquid (CSL) in systems with broken time-reversal symmetry and explore symmetry constraints on possible conventional spin crystal states accessible via a direct…

Strongly Correlated Electrons · Physics 2025-11-07 Anjishnu Bose , Andrew Hardy , Naren Manjunath , Ramanjit Sohal , Arun Paramekanti

The Gutzwiller projection of fermionic wave functions is a well-established method for generating variational wave functions describing exotic states of matter, such as quantum spin liquids. We investigate the conditions under which a…

Strongly Correlated Electrons · Physics 2025-09-03 Rafael A. Macedo , Carlo C. Bellinati , Weslei B. Fontana , Eric C. Andrade , Rodrigo G. Pereira

We consider the quantum spin ice models in the planar pyrochlore lattice. The models are obtained by perturbing the Ising model with different lattice symmetry preserving quantum fluctuations. We map these models to a compact U(1) lattice…

Strongly Correlated Electrons · Physics 2023-06-06 Zijian Xiong

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 well known that theorems of Lieb-Schultz-Mattis type prohibit the existence of a trivial symmetric gapped ground state in certain systems possessing a combination of internal and lattice symmetries. In the continuum description of…

Strongly Correlated Electrons · Physics 2018-08-29 Max A. Metlitski , Ryan Thorngren

The Lieb-Schultz-Mattis theorem for spin chains is generalized to a wide range of models of interacting electrons and localized spins in one-dimensional lattice. The existence of a low-energy state is generally proved except for special…

Strongly Correlated Electrons · Physics 2009-10-30 Masanori Yamanaka , Masaki Oshikawa , Ian Affleck

The consistent chiral kinetic theory accurate to the second order in electromagnetic and pseudoelectromagnetic fields is derived for a relativistic matter with two Weyl fermions. By making use of such a framework, the properties of…

Mesoscale and Nanoscale Physics · Physics 2017-05-30 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , P. O. Sukhachov

We determine the conditions under which a spin-liquid Mott insulator |0> defined by a Gutzwiller projected BCS state at half-filling is Z(2) fractionalized. We construct a trial vison [Z(2) vortex] state |V> by projecting an (hc/2e) vortex…

Strongly Correlated Electrons · Physics 2009-11-10 Arun Paramekanti , Mohit Randeria , Nandini Trivedi

We propose in this work an effective field theory description of the chiral spin liquid state in Heisenberg spin system on kagom\'e lattice.To this end, we derive the low-energy effective theory of kagom\'e (isotropic) Heisenberg…

Strongly Correlated Electrons · Physics 2018-05-08 Imam Makhfudz

We discuss the Lieb-Schultz-Mattis (LSM) theorem in two-dimensional spin systems with on-site ${\mathrm U}(1)\rtimes {\mathbb Z}_2$ spin rotation symmetry and point group $C_{2v}$ symmetry about a site. We ``twist" the point group symmetry…

Strongly Correlated Electrons · Physics 2026-03-23 Yasuhiro Tada , Masaki Oshikawa

A method is proposed for constructing an exact ground-state wave function of a two-dimensional model with spin 1/2. The basis of the method is to represent the wave function by a product of fourth-rank spinors associated with the sites of a…

Strongly Correlated Electrons · Physics 2009-10-31 D. V. Dmitriev , V. Ya. Krivnov , A. A. Ovchinnikov

We propose a set of spin system wavefunctions that are very similar to lattice versions of the Laughlin states. The wavefunction are conformal blocks of conformal field theories, and for filling factor \nu=1/2 we provide a parent…

Strongly Correlated Electrons · Physics 2012-06-21 Anne E. B. Nielsen , J. Ignacio Cirac , German Sierra

We study spin liquid phases of spin-5/2 alkaline earth atoms on a honeycomb lattice at finite temperatures. Our analysis is based on a Gutzwiller projection variational approach recast to a path-integral formalism. In the framework of a…

Quantum Gases · Physics 2013-10-15 P. Sinkovicz , A. Zamora , E. Szirmai , M. Lewenstein , G. Szirmai

The quantum antiferromagnet on the pyrochlore lattice offers an archetypal frustrated system, which potentially realizes a quantum spin liquid characterized by the absence of standard spontaneous symmetry breaking even at zero temperature,…

Strongly Correlated Electrons · Physics 2023-11-21 Rico Pohle , Youhei Yamaji , Masatoshi Imada