# Quantum phase diagram and chiral spin liquid in the extended spin- 12 honeycomb XY model

@article{Huang2021QuantumPD, title={Quantum phase diagram and chiral spin liquid in the extended spin- 12 honeycomb XY model}, author={Yixuan Huang and Xiao-yu Dong and Dong-ning Sheng and C. S. Ting}, journal={Physical Review B}, year={2021}, volume={103} }

The frustrated XY model on the honeycomb lattice has drawn lots of attention because of the potential emergence of chiral spin liquid (CSL) with the increasing of frustrations or competing interactions. In this paper, we study the extended spin-$\frac{1}{2}$ XY model with nearest-neighbor $({J}_{1})$, and next-nearest-neighbor $({J}_{2})$ interactions in the presence of a three-spins chiral $({J}_{\ensuremath{\chi}})$ term using density matrix renormalization group methods. We obtain a quantum…

## 2 Citations

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## References

SHOWING 1-10 OF 64 REFERENCES

Phase diagram of a frustrated spin- 12 J1 - J2 XXZ model on the honeycomb lattice

- Physics
- 2014

We study the zero-temperature ($T = 0$) ground-state (GS) properties of a frustrated spin-half $J_{1}^{XXZ}$--$J_{2}^{XXZ}$model on the honeycomb lattice with nearest-neighbor and…

Global phase diagram and quantum spin liquids in a spin- 12 triangular antiferromagnet

- Physics
- 2017

We study the spin-$1/2$ Heisenberg model on the triangular lattice with the nearest-neighbor $J_1 > 0$, the next-nearest-neighobr $J_2 > 0$ Heisenberg interactions, and the additional scalar chiral…

Quantum phases of the frustrated XY models on the honeycomb lattice

- Physics
- 2014

Searching for spin liquid states has long been attracting both experimentalists and theorists. In this article, we review recent density matrix renormalization group studies of the spin-1/2 XY model…

Chiral spin liquid and quantum criticality in extended S =1/2 Heisenberg models on the triangular lattice

- Physics, Materials Science
- 2017

We investigate the ${J}_{1}\ensuremath{-}{J}_{2}$ Heisenberg model on the triangular lattice with an additional scalar chirality term and show that a chiral spin liquid is stabilized in a sizable…

Chiral and Critical Spin Liquids in Spin-1/2 Kagome Antiferromagnet

- Physics
- 2015

The topological quantum spin liquids (SL) and the nature of quantum phase transitions between them have attracted intensive attentions for the past twenty years. The extended kagome spin-1/2…

Phase diagram of the frustrated quantum-XY model on the honeycomb lattice studied by series expansions: Evidence for proximity to a bicritical point

- Physics
- 2014

We study the nearest-neighbor exchange ($J_1$) and second-neighbor exchange ($J_2$) XY antiferromagnet on the honeycomb lattice using ground state series expansions around N{\'e}el, columnar and…

Field-induced spin-liquid-like state in a magnetic honeycomb lattice

- Materials Science, PhysicsPhysical Review B
- 2018

Quantum fluctuations in magnetic lattices can yield a quantum spin-liquid (QSL) state, where no long-range order appears even at zero temperature. The variety of mechanisms that can generate the…

Frustrated spin-$\frac{1}{2}$ $J_1$--$J_2$ isotropic XY model on the honeycomb lattice

- Physics
- 2014

We study the zero-temperature ground-state (GS) phase diagram of a spin-half J1?J2 XY model on the honeycomb lattice with nearest-neighbor exchange coupling J1 > 0 and frustrating…

Spiral antiferromagnets beyond the spin-wave approximation: Frustrated XY and Heisenberg models on the honeycomb lattice

- Physics
- 2014

We examine the stability of classical states with a generic incommensurate spiral order against quantum fluctuations. Specifically, we focus on the frustrated spin-1/2 $XY$ and Heisenberg models on…

Topological entanglement entropy of Z 2 spin liquids and lattice Laughlin states

- Materials Science, Physics
- 2011

We study entanglement properties of candidate wave functions for SU(2) symmetric gapped spin liquids and Laughlin states. These wave functions are obtained by the Gutzwiller projection technique.…