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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…

强关联电子 · 物理学 2017-10-10 Masahiko G. Yamada , Vatsal Dwivedi , Maria Hermanns

The Kitaev model on a honeycomb lattice may provide a robust topological quantum memory platform, but finding a material that realizes the unique spin liquid phase remains a considerable challenge. We demonstrate that an effective Kitaev…

介观与纳米尺度物理 · 物理学 2024-06-19 Tessa Cookmeyer , Sankar Das Sarma

Stabilizing exotic quantum phases of matter, e.g. spin liquid, is an attractive topic in condensed matter. Here, by a Monte Carlo study of a two-orbital spin-fermion model on a honeycomb lattice, we show the cooperative effects of the…

强关联电子 · 物理学 2025-01-13 Kaidi Xu , Shan-Shan Wang , Rong Yu , Shuai Dong

Recent proposals for spin-1 Kitaev materials, such as honeycomb Ni oxides with heavy elements of Bi and Sb, have shown that these compounds naturally give rise to antiferromagnetic (AFM) Kitaev couplings. Conceptual interest in such AFM…

The Kitaev honeycomb model supports gapless and gapped quantum spin liquid phases. Its exact solvability relies on extensively many locally conserved quantities. Any real-world manifestation of these phases would include imperfections in…

强关联电子 · 物理学 2025-01-30 Ihor Yatsuta , David F. Mross

Quantum spin liquids (QSLs) represent exotic states of matter where quantum spins interact strongly yet evade long-range magnetic order down to absolute zero. Characterized by non-local quantum entanglement and resultant fractionalized…

强关联电子 · 物理学 2025-12-05 Yuji Matsuda , Takasada Shibauchi , Hae-Young Kee

We propose an exactly solvable model for $j_{\text{eff}}=\frac32$ local moments on the honeycomb lattice. Our construction is guided by a symmetry analysis and by the requirement of an exact solution in terms of a Majorana fermion…

强关联电子 · 物理学 2020-08-13 Carlene S. de Farias , Vanuildo S. de Carvalho , Eduardo Miranda , Rodrigo G. Pereira

We show that interactions in quantum spin liquids can result in non-Hermitian phenomenology that differs qualitatively from mean-field expectations. We demonstrate this in two prominent cases through the effects of phonons and disorder on a…

强关联电子 · 物理学 2022-11-16 Kang Yang , Daniel Varjas , Emil J. Bergholtz , Sid Morampudi , Frank Wilczek

We construct a two-dimensional (2D) lattice model that is argued to realize a gapped chiral spin liquid with (Ising) non-Abelian topological order. The building blocks are spin-1/2 two-leg ladders with $SU(2)$-symmetric spin-spin…

强关联电子 · 物理学 2017-12-19 Po-Hao Huang , Jyong-Hao Chen , Adrain E. Feiguin , Claudio Chamon , Christopher Mudry

We performed an exact diagonalization study of the spin liquid phase of the Multiple-Spin Exchange model on the triangular lattice. It is characterized by no Neel Long Range Order (NLRO), short-ranged magnetic correlations and a spin gap.…

强关联电子 · 物理学 2009-10-31 Gregoire Misguich , Claire Lhuillier , Bernard Bernu , Christian Waldtmann

We provide numerical evidence in favor of spontaneous chiral symmetry breaking and the concomitant appearance of an Abelian chiral spin liquid for three-component fermions on the triangular lattice described by an SU(3) symmetric Hubbard…

强关联电子 · 物理学 2020-05-05 C. Boos , C. J. Ganahl , M. Lajkó , P. Nataf , A. M. Läuchli , K. Penc , K. P. Schmidt , F. Mila

We describe a coupled-chain construction for chiral spin liquids in two-dimensional spin systems. Starting from a one-dimensional zigzag spin chain and imposing SU(2) symmetry in the framework of non-Abelian bosonization, we first show that…

强关联电子 · 物理学 2015-06-24 Gregory Gorohovsky , Rodrigo G. Pereira , Eran Sela

In a recent Letter, Hassan and S\'en\'echal [1] discussed the existence of a spin-liquid phase of the half-filled Hubbard model on the honeycomb lattice. Using schemes, such as the variational cluster approximation (VCA) and the cluster…

强关联电子 · 物理学 2015-06-15 A. Liebsch

We explore the potential experimental realization of the mixed-spin Kitaev model in materials such as Zr$_{0.5}$Ru$_{0.5}$Cl$_3$, where spin-1/2 and spin-3/2 ions occupy distinct sublattices of a honeycomb lattice. By developing a…

强关联电子 · 物理学 2025-05-09 Willian Natori , Yang Yang , Hui-Ke Jin , Johannes Knolle , Natalia B. Perkins

Spiral spin-liquids are correlated paramagnetic states with degenerate propagation vectors forming a continuous ring or surface in reciprocal space. On the honeycomb lattice, spiral spin-liquids present a novel route to realize emergent…

Localized magnetic moments with crystal-field doublet or pseudo-spin 1/2 may arise in correlated insulators with even number of electrons and strong spin-orbit coupling. Such a non-Kramers pseudo-spin 1/2 is the consequence of crystalline…

强关联电子 · 物理学 2013-11-13 Robert Schaffer , Subhro Bhattacharjee , Yong Baek Kim

A decade ago, Alexei Kitaev proposed an exactly solvable $S$ = 1/2 model on a two-dimensional honeycomb lattice, where the spins fractionalize into Majorana fermions and form a topological quantum spin liquid (QSL) in the ground state. It…

强关联电子 · 物理学 2022-01-21 Hidenori Takagi , Tomohiro Takayama , George Jackeli , Giniyat Khaliullin , Stephen E. Nagler

We introduce a spin-1/2 model in three dimensions which is a generalization of the well-known Kitaev model on a honeycomb lattice. Following Kitaev, we solve the model exactly by mapping it to a theory of non-interacting fermions in the…

介观与纳米尺度物理 · 物理学 2013-05-29 Saptarshi Mandal , Naveen Surendran

Abelian and non-Abelian topological phases exhibiting protected chiral edge modes are ubiquitous in the realm of the Fractional Quantum Hall (FQH) effect. Here, we investigate a spin-1 Hamiltonian on the square lattice which could,…

强关联电子 · 物理学 2018-11-14 Ji-Yao Chen , Laurens Vanderstraeten , Sylvain Capponi , Didier Poilblanc

Kitaev's model of spins interacting on a honeycomb lattice describes a quantum spin-liquid, where an emergent static $\mathbb{Z}_2$ gauge field is coupled to Majorana fermions. In the presence of an external magnetic field and for a range…

强关联电子 · 物理学 2019-01-21 Daniel Otten , Ananda Roy , Fabian Hassler