Bulletin of the American Physical Society

Spin liquid ground state on the honeycomb Heisenberg spin 1/2 model with nearest and next nearest neighbor interaction

Zhenyue Zhu, Steven White, David A. Huse

Published Mar 2, 2012• 0 citations

OpenAlex

Related papers

Ground-State of the Dimerized 1\emph{D} Heisenberg Model with Next Nearest Neighbor Interaction

Mei Wai Tsui, Eric Ashendorf, Jay D. Mancini +2 more

Bulletin of the American Physical SocietyMar 14, 20170 citations

Ground state of the antiferromagnetic Heisenberg chain with nearest-aand next-nearest-neighbor interactions

M. A. García‐Bach, Douglas J. Klein

Physics Letters AApr 1, 19827 citations

Ground-state of the linear anisotropic antiferromagnetic Heisenberg chain with nearest and next-nearest neighbor interactions

Jay D. Mancini, Janice D. Prie, William J. Massano

Solid State CommunicationsFeb 1, 19944 citations

Spin-Liquid Phase in the Hubbard Model on the Honeycomb Lattice

Zi Yang Meng, Thomas C. Lang, Stefan Weßel +2 more

Springer eBooksDec 11, 20100 citations

Intertwining SU( N ) symmetry and frustration on a honeycomb lattice

Xu-Ping Yao, Rui Leonard Luo, Gang Chen

arXiv:2111.01611Physical review. B./Physical review. BJan 3, 202210 citations

Phase diagram of a frustrated spin- 1 2 J 1 - J 2 X X Z model on the honeycomb lattice

P. H. Y. Li, R. F. Bishop, C. E. Campbell

arXiv:1404.0194Physical Review BJun 24, 201424 citations

Bulletin of the American Physical Society

Spin liquid ground state on the honeycomb Heisenberg spin 1/2 model with nearest and next nearest neighbor interaction

Zhenyue Zhu, Steven White, David A. Huse

Published Mar 2, 2012• 0 citations

OpenAlex

Related papers

Ground-State of the Dimerized 1\emph{D} Heisenberg Model with Next Nearest Neighbor Interaction

Mei Wai Tsui, Eric Ashendorf, Jay D. Mancini +2 more

Bulletin of the American Physical SocietyMar 14, 20170 citations

Ground state of the antiferromagnetic Heisenberg chain with nearest-aand next-nearest-neighbor interactions

M. A. García‐Bach, Douglas J. Klein

Physics Letters AApr 1, 19827 citations

Ground-state of the linear anisotropic antiferromagnetic Heisenberg chain with nearest and next-nearest neighbor interactions

Jay D. Mancini, Janice D. Prie, William J. Massano

Solid State CommunicationsFeb 1, 19944 citations

Spin-Liquid Phase in the Hubbard Model on the Honeycomb Lattice

Zi Yang Meng, Thomas C. Lang, Stefan Weßel +2 more

Springer eBooksDec 11, 20100 citations

Intertwining SU( N ) symmetry and frustration on a honeycomb lattice

Xu-Ping Yao, Rui Leonard Luo, Gang Chen

Large symmetry groups in quantum many-body systems could strongly enhance quantum fluctuations and thereby stabilize exotic quantum phases. Frustrated interactions were long known to have similar effects. Here we intertwine the large $\mathrm{SU}(N$ ) symmetry and the frustration in a ${J}_{1}\text{\ensuremath{-}}{J}_{2}\phantom{\rule{0.16em}{0ex}}\mathrm{SU}(N$) Heisenberg model on a honeycomb lattice, where ${J}_{1}$ is the nearest-neighbor coupling and ${J}_{2}$ is the next-nearest-neighbor coupling. With a large- $N$ analysis, we obtain a rich phase diagram by varying both $N$ and the ratio ${J}_{2}/{J}_{1}$ . The ground states include Dirac spin liquid, chiral spin liquid, valence cluster solids, flux ordered state, and stripe states. The physical properties of each phase are discussed.Large symmetry groups in quantum many-body systems could strongly enhance quantum fluctuations and thereby stabilize exotic quantum phases. Frustrated interactions were long known to have similar effects. Here we intertwine the large $\mathrm{SU}(N$) symmetry and the frustration in a ${J}_{1}\text{\ensuremath{-}}{J}_{2}\phantom{\rule{0.16em}{0ex}}\mathrm{SU}(N$) Heisenberg model on a honeycomb lattice, where ${J}_{1}$ is the nearest-neighbor coupling and ${J}_{2}$ is the next-nearest-neighbor coupling. With a large-$N$ analysis, we obtain a rich phase diagram by varying both $N$ and the ratio ${J}_{2}/{J}_{1}$. The ground states include Dirac spin liquid, chiral spin liquid, valence cluster solids, flux ordered state, and stripe states. The physical properties of each phase are discussed.

arXiv:2111.01611Physical review. B./Physical review. BJan 3, 202210 citations

Phase diagram of a frustrated spin- 1 2 J 1 - J 2 X X Z model on the honeycomb lattice

P. H. Y. Li, R. F. Bishop, C. E. Campbell

We study the zero-temperature ( $T=0$ ) ground-state (GS) properties of a frustrated spin-half ${J}_{1}^{\mathit{X}XZ}$ -- ${J}_{2}^{\mathit{X}XZ}$ model on the honeycomb lattice with nearest-neighbor and next-nearest-neighbor interactions with exchange couplings ${J}_{1}>0$ and ${J}_{2}\ensuremath{\equiv}\ensuremath{\kappa}{J}_{1}>0$, respectively, using the coupled cluster method. Both interactions are of the anisotropic XXZ type. We present the $T=0$ GS phase diagram of the model in the ranges $0\ensuremath{\le}\ensuremath{\Delta}\ensuremath{\le}1$ of the spin-space anisotropy parameter and $0\ensuremath{\le}\ensuremath{\kappa}\ensuremath{\le}1$ of the frustration parameter. A possible quantum spin-liquid region is identified.We study the zero-temperature ($T=0$) ground-state (GS) properties of a frustrated spin-half ${J}_{1}^{\mathit{X}XZ}$--${J}_{2}^{\mathit{X}XZ}$ model on the honeycomb lattice with nearest-neighbor and next-nearest-neighbor interactions with exchange couplings ${J}_{1}>0$ and ${J}_{2}\ensuremath{\equiv}\ensuremath{\kappa}{J}_{1}>0$, respectively, using the coupled cluster method. Both interactions are of the anisotropic XXZ type. We present the $T=0$ GS phase diagram of the model in the ranges $0\ensuremath{\le}\ensuremath{\Delta}\ensuremath{\le}1$ of the spin-space anisotropy parameter and $0\ensuremath{\le}\ensuremath{\kappa}\ensuremath{\le}1$ of the frustration parameter. A possible quantum spin-liquid region is identified.

arXiv:1404.0194Physical Review BJun 24, 201424 citations

\mathrm{SU}(N

) symmetry and the frustration in a ${J}_{1}\text{\ensuremath{-}}{J}_{2}\phantom{\rule{0.16em}{0ex}}\mathrm{SU}(N$) Heisenberg model on a honeycomb lattice, where

{J}_{1}

is the nearest-neighbor coupling and

{J}_{2}

is the next-nearest-neighbor coupling. With a large-

N

analysis, we obtain a rich phase diagram by varying both

N

and the ratio

{J}_{2}/{J}_{1}

. The ground states include Dirac spin liquid, chiral spin liquid, valence cluster solids, flux ordered state, and stripe states. The physical properties of each phase are discussed.

We study the zero-temperature (

T=0

) ground-state (GS) properties of a frustrated spin-half

{J}_{1}^{\mathit{X}XZ}

{J}_{2}^{\mathit{X}XZ}

model on the honeycomb lattice with nearest-neighbor and next-nearest-neighbor interactions with exchange couplings

{J}_{1}>0

and ${J}_{2}\ensuremath{\equiv}\ensuremath{\kappa}{J}_{1}>0$, respectively, using the coupled cluster method. Both interactions are of the anisotropic XXZ type. We present the

T=0

GS phase diagram of the model in the ranges $0\ensuremath{\le}\ensuremath{\Delta}\ensuremath{\le}1$ of the spin-space anisotropy parameter and $0\ensuremath{\le}\ensuremath{\kappa}\ensuremath{\le}1$ of the frustration parameter. A possible quantum spin-liquid region is identified.