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Related papers: 3D Spin-orbital liquids

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The competition between fractionalized spin-liquid states and magnetically ordered phases is an important paradigm in frustrated magnetism. Spin-orbit coupled Mott insulators with Ising-like magnetic anisotropies, such as Kitaev materials,…

Strongly Correlated Electrons · Physics 2022-12-08 G. Shankar , Chien-Hung Lin , Joseph Maciejko

The fractionalization of quantum numbers in interacting quantum-many body systems is a central motif in condensed matter physics with prominent examples including the fractionalization of the electron in quantum Hall liquids or the…

Strongly Correlated Electrons · Physics 2015-04-16 Maria Hermanns , Kevin O'Brien , Simon Trebst

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 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

Spin liquids are collective phases of quantum matter which have eluded discovery in correlated magnetic materials for over half a century. Theoretical models of these enigmatic topological phases are no longer in short supply. In experiment…

Strongly Correlated Electrons · Physics 2019-03-28 Johannes Knolle , Roderich Moessner

Hyperbolic lattices present a unique opportunity to venture beyond the conventional paradigm of crystalline many-body physics and explore correlated phenomena in negatively curved space. As a theoretical benchmark for such investigations,…

Strongly Correlated Electrons · Physics 2025-08-25 Patrick M. Lenggenhager , Santanu Dey , Tomáš Bzdušek , Joseph Maciejko

We present an exactly solvable model of a quantum spin liquid with Abelian anyons in d=2 spatial dimensions. With spins 1/2 on a triangular lattice and six-body interactions, our model has zero spin correlation length and localized…

Strongly Correlated Electrons · Physics 2017-04-19 Haoyu Wang , Hitesh J. Changlani , Yuan Wan , Oleg Tchernyshyov

Topological superfluid, new quantum matter that possesses gapless exotic excitations known as Majorana fermions, has attracted extensive attention recently. These excitations, which can encode topological qubits, could be crucial…

Quantum Gases · Physics 2016-01-18 Liang-Liang Wang , Wu-Ming Liu

We argue for the existence of a liquid ground state in a class of square lattice models of orbitally degenerate insulators. Starting with the SU(4) symmetric Kugel-Khomskii model, we utilize a Majorana Fermion representation of spin-orbital…

Strongly Correlated Electrons · Physics 2009-08-22 Fa Wang , Ashvin Vishwanath

We write down a class of two-dimensional quantum spin-1/2 Hamiltonians whose eigenspectra are exactly solvable via the Jordan-Wigner transformation. The general structure corresponds to a suitable grid composed of XY or XX-Ising spin chains…

Strongly Correlated Electrons · Physics 2025-09-03 Sumiran Pujari

Spin liquids may host emergent quasiparticles, collective excitations of the spin degrees of freedom with characteristic features of Majorana fermions, which experimentally are detectable by broad excitation continua due to spin…

Strongly Correlated Electrons · Physics 2019-09-18 S. Reschke , V. Tsurkan , S. -H. Do , K. -Y. Choi , P. Lunkenheimer , Zhe Wang , A. Loidl

We present an exactly solvable spin-orbital model based on the Gamma-matrix generalization of a Kitaev-type Hamiltonian. In the presence of small magnetic fields, the model exhibits a critical phase with a spectrum characterized by…

Mesoscale and Nanoscale Physics · Physics 2010-07-13 Gia-Wei Chern

In this work, we consider a 3D cubic optical lattice composed of coupled 1D wires with 1D spin-orbit coupling. When the s-wave pairing is induced through Feshbach resonance, the system becomes a topological superfluid with ring nodes, which…

Quantum Gases · Physics 2018-04-25 Wen-Yu He , Dong-Hui Xu , Benjamin T. Zhou , Qi Zhou , K. T. Law

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

Frustrated magnetic systems exhibit many fascinating phases. Prime among them are quantum spin liquids, where the magnetic moments do not order even at zero temperature. A subclass of quantum spin liquids called Kitaev spin liquids are…

Strongly Correlated Electrons · Physics 2017-10-10 Masahiko G. Yamada , Vatsal Dwivedi , Maria Hermanns

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

Different types of order are discussed in the context of strongly correlated transition metal oxides, involving pure compounds and $3d^{3}-4d^{4}$ and $3d^{2}-4d^{4}$ hybrids. Apart from standard, long-range spin and orbital orders we…

Strongly Correlated Electrons · Physics 2019-10-24 Wojciech Brzezicki

Spin liquids represent exotic types of quantum matter that evade conventional symmetry-breaking order even at zero temperature. Exhaustive classifications of spin liquids have been carried out in several systems, particularly in the…

Strongly Correlated Electrons · Physics 2014-11-19 Johannes Reuther , Shu-Ping Lee , Jason Alicea

Quantum spin liquids hosting Majorana excitations have recently experienced renewed interest for potential applications to topological quantum computation. Performing logical operations with reduced poisoning requires to localize such…

Strongly Correlated Electrons · Physics 2022-01-05 Haoran Wang , Alessandro Principi

For certain crystalline systems, most notably the organic compound EtMe3Sb[Pd(dmit)2]2, experimental evidence has accumulated of an insulating state with a high density of gapless neutral excitations that produce Fermi-liquid-like power…

Strongly Correlated Electrons · Physics 2013-04-09 Maissam Barkeshli , Hong Yao , Steven A. Kivelson