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Magnetic fields can give rise to a plethora of phenomena in Kitaev spin systems, such as the formation of non-trivial spin liquids in two and three spatial dimensions. For the original honeycomb Kitaev model, it has recently been observed…

Strongly Correlated Electrons · Physics 2020-07-01 Christoph Berke , Simon Trebst , Ciarán Hickey

First examples of quasi-exactly solvable models describing spin-orbital interaction are constructed. In contrast with other examples of matrix quasi-exactly solvable models discussed in the literature up to now, our models admit (but still…

High Energy Physics - Theory · Physics 2007-05-23 Alexander Ushveridze

The search for spin liquids, magnetic phases which lie outside the Landau paradigm, remains one of the central challenges for modern condensed matter physics. For a long time, the prime candidates were thought to be spin-1/2 magnets, but…

Strongly Correlated Electrons · Physics 2026-03-02 Rico Pohle , Nic Shannon

Direct coupling between gapless bosons and a Fermi surface results in the destruction of Landau quasiparticles and a breakdown of Fermi liquid theory. Such a non-Fermi liquid phase arises in spin-orbit coupled ferromagnets with…

Strongly Correlated Electrons · Physics 2015-07-22 Yasaman Bahri , Andrew C. Potter

We investigate the quantum phase diagram of the exactly solved mixed spin-(1/2,1) ladder via the thermodynamic Bethe ansatz (TBA). In the absence of a magnetic field the model exhibits three quantum phases associated with su(2), su(4) and…

Statistical Mechanics · Physics 2009-11-10 M. T. Batchelor , X. -W. Guan , N. Oelkers , Z. -J. Ying

Motivated by recent experiments on $\alpha$-RuCl$_3$, we investigate a possible quantum spin liquid ground state of the honeycomb-lattice spin model with bond-dependent interactions. We consider the $K-\Gamma$ model, where $K$ and $\Gamma$…

Strongly Correlated Electrons · Physics 2018-02-15 Matthias Gohlke , Gideon Wachtel , Youhei Yamaji , Frank Pollmann , Yong Baek Kim

Spin-$S$ Heisenberg quantum antiferromagnets on the Kagome lattice offer, when placed in a magnetic field, a fantastic playground to observe exotic phases of matter with (magnetic analogs of) superfluid, charge, bond or nematic orders, or a…

Strongly Correlated Electrons · Physics 2016-02-24 Thibaut Picot , Marc Ziegler , Roman Orus , Didier Poilblanc

It was recently shown that an interacting Kitaev topological superconductor model is exactly solvable based on two-step Jordan-Wigner transformations together with one spin rotation. We generalize this model by including the dimerization,…

Strongly Correlated Electrons · Physics 2017-10-25 Motohiko Ezawa

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

We report the finding of a series of symmetry distinct spin liquid (SL) states and a rich phase diagram in a half-filled honeycomb lattice Hubbard model with spin-dependent hopping amplitude t'. We first study the magnetic instability of…

Strongly Correlated Electrons · Physics 2015-06-17 Long Liang , Ziqiang Wang , Yue Yu

We propose a mechanism to explain the emergence of an intermediate gapless spin liquid phase in the antiferromagnetic Kitaev model in an externally applied magnetic field, sandwiched between the well-known gapped chiral spin liquid and the…

Strongly Correlated Electrons · Physics 2025-03-14 Penghao Zhu , Shi Feng , Kang Wang , Tao Xiang , Nandini Trivedi

There is growing evidence from both experiment and numerical studies that low half-odd integer quantum spins on a kagome lattice with predominant antiferromagnetic near neighbor interactions do not order magnetically or break lattice…

Strongly Correlated Electrons · Physics 2009-11-13 S. Ryu , O. I. Motrunich , J. Alicea , Matthew P. A. Fisher

We investigate the nature of the topological quantum phase transition between the gapless and gapped Kitaev quantum spin liquid phases away from the exactly solvable point. The transition is driven by anisotropy of the Kitaev couplings. At…

Strongly Correlated Electrons · Physics 2024-10-03 Huanzhi Hu , Frank Krüger

Magnetic fluids are colloidal suspensions of ferromagnetic particles covered with a surfactant layer, dispersed in a host liquid. The existence of cooperative phenomena in such magnetic colloidal systems, makes the determining of their…

Materials Science · Physics 2007-05-23 D. Andru Vangheli , H. Covlescu , Gh. Ardelean , C. Stelia

A key feature of the newly discovered altermagnet is that its spin degeneracy is lifted, although it has an antiferromagnetic order and zero net magnetization. In this work, we investigate a frustrated spin-1/2 $J_1$-$J_2$-$\delta$…

Strongly Correlated Electrons · Physics 2024-10-22 Yang Liu , Shiqi Shao , Saisai He , Z. Y. Xie , Jia-Wei Mei , Hong-Gang Luo , Jize Zhao

We study a class of two-dimensional spin models with the Kitaev-type couplings in mosaic structure lattices to implement topological orders. We show that they are exactly solvable by reducing them to some free Majorana fermion models with…

Strongly Correlated Electrons · Physics 2011-11-10 S. Yang , D. L. Zhou , C. P. Sun

Altermagnets feature vanishing net magnetization, like antiferromagnets, but exhibit time-reversal symmetry breaking and momentum-dependent spin-split band structures. Motivated by the prevalence of altermagnetic materials with…

Strongly Correlated Electrons · Physics 2024-10-10 Mercè Roig , Andreas Kreisel , Yue Yu , Brian M. Andersen , Daniel F. Agterberg

As one of the most intriguing states of matter, the chiral spin liquid (CSL) has attracted much scientific interest while its existence and mechanism in crystalline strongly correlated systems remain hotly debated. On the other hand, strong…

Strongly Correlated Electrons · Physics 2024-04-09 Yixuan Huang , D. N. Sheng , Jian-Xin Zhu

Quantum spin liquids are commonly thought to be highly sensitive to lattice geometry, symmetry, and microscopic exchange patterns, leading to a proliferation of seemingly distinct phases across frustrated magnets. Here, we provide a…

Strongly Correlated Electrons · Physics 2026-03-18 Atanu Maity , Andreas Feuerpfeil , Ronny Thomale , Subir Sachdev , Yasir Iqbal

We study possible gapless edge states of translation-symmetric Z2 spin liquids. The gapless edge states emerge from dangling Majorana fermions at the boundary. We construct a series of mean-field Hamiltonians of Z2 spin liquids on the…

Strongly Correlated Electrons · Physics 2015-03-20 Gil Young Cho , Yuan-Ming Lu , Joel E. Moore
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