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Related papers: Non-Abelian Statistics in a Quantum Antiferromagne…

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A spin liquid is a novel quantum state of matter with no conventional order parameter where a finite charge gap exists even though the band theory would predict metallic behavior. Finding a stable spin liquid in two or higher spatial…

Strongly Correlated Electrons · Physics 2012-12-20 Sandro Sorella , Yuichi Otsuka , Seiji Yunoki

We study spin S=1 and S=3/2 Heisenberg antiferromagnets on a cubic lattice focusing on spin solid states. Using Schwinger boson formulation for spins, we start in a U(1) spin liquid phase proximate to Neel phase and explore possible…

Strongly Correlated Electrons · Physics 2009-11-13 Karol Gregor , Olexei I. Motrunich

We study the Uhlmann holonomy [Rep. Math. Phys. 24, 229 (1986)] of quantum states for hydrogen-like atoms where the intrinsic spin and orbital angular momentum are coupled by the spin-orbit interaction and subject to a slowly varying…

Quantum Physics · Physics 2011-09-21 Vahid Azimi Mousolou , Carlo M. Canali , Erik Sjöqvist

We construct a parent Hamiltonian for the family of non-Abelian chiral spin liquids proposed recently by two of us [PRL 102, 207203 (2009)], which includes the Abelian chiral spin liquid proposed by Kalmeyer and Laughlin, as the special…

Strongly Correlated Electrons · Physics 2014-04-29 Martin Greiter , Darrell F. Schroeter , Ronny Thomale

We point to the possibility of existence of the statistical-spin-liquid state as the state which differs from either Fermi or Luttinger liquid states. In the statistical spin liquid the double occupancies are excluded from the physical…

Condensed Matter · Physics 2009-10-22 Krzysztof Byczuk , Jozef Spalek

The spin liquid state of the antiferromagnetic Heisenberg model on a triangular lattice is studied within the self-consistent Green's function method. It is shown that the spin excitation spectra is gapless, and ground-state energy per site…

Strongly Correlated Electrons · Physics 2009-10-31 Zhan-hai Dong , Shiping Feng

A simple intuitive picture of spin-Peierls antiferromagnets arises from regarding the elementary excitations as S=1/2 solitons. In a strictly one-dimensional system these excitations are assumed not to form bound-states and to be repelled…

Strongly Correlated Electrons · Physics 2009-10-31 E. Sorensen , I. Affleck , D. Augier , D. Poilblanc

A quantum anti-ferromagnetic spin-1 model is characterised on a 2D lattice with the following requirements: i) The Hamiltonian is made out of nearest neighbour interactions. ii) It is homogeneous, translational and rotational invariant.…

Strongly Correlated Electrons · Physics 2008-11-26 E. Rico , H. J. Briegel

In the present letter, the dynamics of a spin one-half particle with non abelian charge, interacting with a non abelian monopole like configuration, is studied. In the non spinning case, these equations correspond to the Wong ones [1], and…

High Energy Physics - Theory · Physics 2023-03-08 Alejandro Morano , Osvaldo Santillán

We re-express the Rashba and Dresselhaus interactions as non-Abelian spin-orbit gauges and provide a new perspective in understanding the persistent spin helix [Phys. Rev. Lett. 97, 236601 (2006)]. A spin-orbit interacting system can be…

Mesoscale and Nanoscale Physics · Physics 2008-03-21 Son-Hsien Chen , Ching-Ray Chang

The quantum pyrochlore antiferromagnet is studied by perturbative expansions and exact diagonalization of small clusters. We find that the ground state is a spin-liquid state: The spin-spin correlation functions decay exponentially with…

Strongly Correlated Electrons · Physics 2009-10-31 Benjamin Canals , Claudine Lacroix

Recently it was shown that molecules rotating in superfluid helium can be described in terms of the angulon quasiparticles (Phys. Rev. Lett. 118, 095301 (2017)). Here we demonstrate that in the experimentally realized regime the angulon can…

Quantum Gases · Physics 2017-12-13 Enderalp Yakaboylu , Andreas Deuchert , Mikhail Lemeshko

Exactly solvable Hamiltonians with spin liquid ground states have proven to be extremely useful, not only because they unambiguously demonstrate that these phases can arise in systems of interacting spins but also as a pedagogical…

Strongly Correlated Electrons · Physics 2025-09-09 Leyna Shackleton , Mathias S. Scheurer

We reveal that local interactions in graphene allow novel spin liquids between the semi-metal and antiferromagnetic Mott insulating phases, identified with algebraic spin liquid and Z$_{2}$ spin liquid, respectively. We argue that the…

Strongly Correlated Electrons · Physics 2015-03-17 Minh-Tien Tran , Ki-Seok Kim

Recent experiments suggest a quantum spin liquid ground state in the material PbCuTe$_2$O$_6$, where $S=1/2$ moments are coupled by antiferromagnetic Heisenberg interactions into a three dimensional structure of corner sharing triangles…

Strongly Correlated Electrons · Physics 2021-09-15 Li Ern Chern , Yong Baek Kim

Strongly correlated two dimensional electrons are believed to form a spin liquid in some regimes of density and temperature. As the density is varied, one expects a transition from this spin liquid state to a spin density wave…

Condensed Matter · Physics 2009-10-28 B. L. Altshuler , L. B. Ioffe , A. I. Larkin , A. J. Millis

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

Quantum spin liquids realize massive entanglement and fractional quasiparticles from localized spins, proposed as an avenue for quantum science and technology. In particular, topological quantum computations are suggested in the non-abelian…

Strongly Correlated Electrons · Physics 2022-01-19 Kyusung Hwang , Ara Go , Ji Heon Seong , Takasada Shibauchi , Eun-Gook Moon

Non-local correlation effects in the half-filled Hubbard model on an isotropic triangular lattice are studied within a spin polarized extension of the dual fermion approach. A competition between the antiferromagnetic non-collinear and the…

Strongly Correlated Electrons · Physics 2016-01-05 A. E. Antipov , A. N. Rubtsov , M. I. Katsnelson , A. I. Lichtenstein

We present a systematic framework to classify symmetry-enriched topological quantum spin liquids in two spatial dimensions. This framework can deal with all topological quantum spin liquids, which may be either Abelian or non-Abelian,…

Strongly Correlated Electrons · Physics 2024-09-30 Weicheng Ye , Liujun Zou
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