Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:cond-mat/9702178 · Zeitschrift für Physik B Condensed Matter

Quantum phase transition in spin-3/2 systems on the hexagonal lattice — optimum ground state approach

H. Niggemann, Andreas Klümper, J. Zittartz

Published Jan 1, 1997• 113 citations
arXivHTMLPDF
DOI
10.1007/s002570050425

Related papers

Investigation of Quantum Phase Transitions of Spin-3/2 AKLT Systems On the Hexagonal Lattice via the Tensor-Network Method

Tzu-Chieh Wei, Ching-Yu Huang

Bulletin of the American Physical Society•Mar 17, 2016•0 citations

Quantum Phase Transitions in Spin-Lattice Systems

Ristig, M L, Abu, Qasam K, DAMIAN J. J. FARNELL +1 more

•Jan 1, 2001•0 citations

Exact ground states of quantum spin-2 models on the hexagonal lattice

Marc André Ahrens, Andreas Schadschneider, J. Zittartz

We construct exact nontrivial ground states of spin-2 quantum antiferromagnets on the hexagonal lattice. Using the optimum ground state approach we determine the ground state in different subspaces of a general spin-2 Hamiltonian consistent with some realistic symmetries. These states, which are not of simple product form, depend on two free parameters and can be shown to be only weakly degenerate. We find ground states with different types of magnetic order, i.e., a weak antiferromagnet with finite sublattice magnetization and a weak ferromagnet with ferrimagnetic order. For the latter it is argued that a quantum phase transition occurs within the solvable subspace.

arXiv:cond-mat/0504023•Physical Review B•May 27, 2005•17 citations

Ground state of ultracold atoms in a hexagonal ring lattice with synthetic magnetic field

Hongjuan Meng, Wen-Yuan Wang, Yu-Ren Shi

Abstract Ultracold atoms with an artificial gauge field provide a powerful platform for studying physical problems in various fields. We investigate the ground state of ultracold atoms in a hexagonal ring lattice with a synthetic magnetic field. The system undergoes a quantum phase transition characterized by degenerate and nondegenerate ground states. The phase transition depends on the atomic interaction and magnetic flux. With the quantum phase transition, a very interesting quantum odd–even parity effect emerges. The parity effects depend on a repulsive or attractive atomic interaction regime.

Physica Scripta•Jan 14, 2021•0 citations

Quantum Phase Transitions in Spin-Lattice Systems

MANFRED L. RISTIG, Khaled Abu Qasem, DAMIAN J. J. FARNELL

•Jan 1, 2001•0 citations

On the phase transitions in quantum spin systems

R. Micnas, K. A. Chao

Physics Letters A•Jul 1, 1985•3 citations
We construct exact nontrivial ground states of spin-2 quantum antiferromagnets on the hexagonal lattice. Using the optimum ground state approach we determine the ground state in different subspaces of a general spin-2 Hamiltonian consistent with some realistic symmetries. These states, which are not of simple product form, depend on two free parameters and can be shown to be only weakly degenerate. We find ground states with different types of magnetic order, i.e., a weak antiferromagnet with finite sublattice magnetization and a weak ferromagnet with ferrimagnetic order. For the latter it is argued that a quantum phase transition occurs within the solvable subspace.
Abstract Ultracold atoms with an artificial gauge field provide a powerful platform for studying physical problems in various fields. We investigate the ground state of ultracold atoms in a hexagonal ring lattice with a synthetic magnetic field. The system undergoes a quantum phase transition characterized by degenerate and nondegenerate ground states. The phase transition depends on the atomic interaction and magnetic flux. With the quantum phase transition, a very interesting quantum odd–even parity effect emerges. The parity effects depend on a repulsive or attractive atomic interaction regime.