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Spin liquid crystals are magnetic analogs of liquid crystals, possessing properties of both liquids and solids, a typical example of which are spin nematics. Spin nematics share many features with spin liquids, and the interplay between…

强关联电子 · 物理学 2023-04-06 Rico Pohle , Nic Shannon , Yukitoshi Motome

Metastable states with surprising properties abound in Hilbert space. We study unfrustrated isotropic spin-\half Heisenberg models in honeycomb lattice and find emergence of \textit{metastable Kitaev spin liquids having a 2-spin nematic…

强关联电子 · 物理学 2023-09-14 Ganapathy Baskaran

Chiral spin liquids (CSLs) are time-reversal symmetry breaking ground states of frustrated quantum magnets that show no long-range magnetic ordering, but instead exhibit topological order and fractional excitations. Their realization in…

Elementary excitations in highly entangled states such as quantum spin liquids may exhibit exotic statistics, different from those obeyed by fundamental bosons and fermions. Excitations called non-Abelian anyons are predicted to exist in a…

强关联电子 · 物理学 2019-06-11 Jacob S. Gordon , Andrei Catuneanu , Erik S. Sørensen , Hae-Young Kee

Topological states of matter such as quantum spin liquids (QSLs) are of great interest because of their remarkable predicted properties including protection of quantum information and the emergence of Majorana fermions. Such QSLs, however,…

We use a projective symmetry group analysis to determine all symmetric spin liquids on the stuffed honeycomb lattice Heisenberg model. This lattice interpolates between honeycomb, triangular and dice lattices, always preserving hexagonal…

强关联电子 · 物理学 2020-03-10 Jyotisman Sahoo , Rebecca Flint

The ruthenium halide $\alpha$-RuCl$_{3}$ is a promising candidate for a Kitaev spin liquid. However, the microscopic model describing $\alpha$-RuCl$_{3}$ is still debated partly because of a lack of analogue materials for…

The Kitaev honeycomb model, which is exactly solvable by virtue of an extensive number of conserved quantities, supports a gapless quantum spin liquid phase as well as gapped descendants relevant for fault-tolerant quantum computation. We…

强关联电子 · 物理学 2026-01-28 Yue Liu , Nathanan Tantivasadakarn , Kevin Slagle , David F. Mross , Jason Alicea

The ruby lattice is a four-valent lattice interpolating between honeycomb and triangular lattices. In this work we investigate the topological spin-liquid phases of a spin Hamiltonian with Kitaev interactions on the ruby lattice using exact…

强关联电子 · 物理学 2016-09-28 Saeed S. Jahromi , Mehdi Kargarian , S. Farhad Masoudi , Abdollah Langari

Since strong quantum fluctuations are essential for the emergence of quantum spin liquids, there have been extensive exploration and identification of spin liquid candidates in spin-$1/2$ systems, while such activities are rare in higher…

强关联电子 · 物理学 2023-07-26 Wei-Wei Luo , Yixuan Huang , D. N. Sheng , W. Zhu

We report a $^{35}$Cl nuclear magnetic resonance study in the honeycomb lattice, $\alpha$-RuCl$_3$, a material that has been suggested to potentially realize a Kitaev quantum spin liquid (QSL) ground state. Our results provide direct…

We establish the appearance of a qualitatively new type of spin liquid with emergent exceptional points when coupling to the environment. We consider an open system of the Kitaev honeycomb model generically coupled to an external…

强关联电子 · 物理学 2021-02-18 Kang Yang , Siddhardh C. Morampudi , Emil J. Bergholtz

Kitaev's honeycomb model is a paradigmatic exactly solvable system hosting a quantum spin liquid with non-Abelian anyons and topologically protected edge modes, offering a platform for fault-tolerant quantum computation. However, real…

Recent numerical studies indicate that the antiferromagnetic Kitaev honeycomb lattice model undergoes a magnetic-field-induced quantum phase transition into a new spin-liquid phase. This intermediate-field phase has been previously…

强关联电子 · 物理学 2022-03-02 Shang-Shun Zhang , Gábor B. Halász , Cristian D. Batista

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 $\Gamma$…

强关联电子 · 物理学 2018-02-15 Matthias Gohlke , Gideon Wachtel , Youhei Yamaji , Frank Pollmann , Yong Baek Kim

While the enhancement of the spin-space symmetry from the usual $\mathrm{SU}(2)$ to $\mathrm{SU}(N)$ is promising for finding nontrivial quantum spin liquids, its realization in magnetic materials remains challenging. Here we propose a new…

强关联电子 · 物理学 2018-09-12 Masahiko G. Yamada , Masaki Oshikawa , George Jackeli

The spin liquid phase is one of the prominent strongly interacting topological phases of matter whose unambiguous confirmation is yet to be reached despite intensive experimental efforts on numerous candidate materials. Recently, a new…

强关联电子 · 物理学 2018-05-10 Andrei Catuneanu , Youhei Yamaji , Gideon Wachtel , Yong Baek Kim , Hae-Young Kee

We show that line defects in a non-Abelian Kitaev spin liquid harbor gapless one-dimensional Majorana modes if the interaction across the defect falls below a critical value. Treating the weak interaction at the line defect within a…

强关联电子 · 物理学 2022-01-10 Lucas R. D. Freitas , Rodrigo G. Pereira

The Kitaev spin liquid provides a rare example of well-established quantum spin liquids in more than one dimension. It is obtained as the exact ground state of the Kitaev spin model with bond-dependent anisotropic interactions. The peculiar…

强关联电子 · 物理学 2020-07-14 Y. Motome , R. Sano , S. -H. Jang , Y. Sugita , Y. Kato

We study an exactly solvable model with bond-directional quadrupolar and octupolar interactions between spin-orbital entangled $j_{\mathrm{eff}} = \frac{3}{2}$ moments on the honeycomb lattice. We show that this model features a multipolar…

强关联电子 · 物理学 2023-10-17 Vanuildo S. de Carvalho , Hermann Freire , Rodrigo G. Pereira