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

Physica A Statistical Mechanics and its Applications

Exact ground states for a class of linear antiferromagnetic spin systems

W.J. Caspers

Published Sep 1, 1982• 20 citations
Publisher
DOI
10.1016/0378-4371(82)90141-8

Related papers

Exact ground states for a class of linear quantum spin systems

W.J. Caspers, Wim Magnus

Physica A Statistical Mechanics and its Applications•Apr 1, 1983•15 citations

Some exact excited states in a linear antiferromagnetic spin system

W.J. Caspers, Wim Magnus

Physics Letters A•Feb 1, 1982•42 citations

Matrix Product Ground States for One-Dimensional Spin-1 Quantum Antiferromagnets

Andreas Klümper, Andreas Schadschneider, J. Zittartz

We have found the exact ground state for a large class of antiferromagnetic spin-1 models with nearest-neighbour interactions on a linear chain. All ground-state properties can be calculated. The ground state is determined as a matrix product of individual site states and has the properties of the Haldane scenario.

arXiv:cond-mat/9307028•Europhysics Letters (EPL)•Nov 1, 1993•274 citations

Ground-state spin pairing of general-spin linear-chain Heisenberg models

S. A. Alexander, Daniel Klein

Simple products of singlet-coupled spin pairs are identified as exact eigenstates for a certain class of antiferromagnetically signed linear-chain Heisenberg models with both bond-length alternation and next-nearest-neighbor interactions. Where such an eigenstate becomes a ground state, a cusp is noted to arise in the ground-state energy. Differences between the spin-1/2 and higher-spin cases appear.

Physical review. B, Condensed matter•Jan 1, 1985•0 citations

Ground state of antiferromagnetic quantum spin systems of the triangular lattice

毅彦 溝口, Takehiko Oguchi, 秀稔 西森 +2 more

•Jan 1, 1986•0 citations

Integrable Models of Interacting Quantum Spins with Competing Interactions

Johannes Richter, Sven E. Krüger, A Voigt +1 more

We present a class of exactly solvable quantum spin models which consist of two Heisenberg subsystems coupled via a long-range Lieb-Mattis interaction. The total system is exactly solvable whenever the individual subsystems are solvable and allows to study the effects of frustration. We consider i) the antiferromagnetic linear chain and ii) the Lieb-Mattis antiferromagnet for the subsystem Hamiltonians and present i) the complete ground-state phase diagram and ii) the full thermodynamic phase diagram. We find a novel phase which exhibits order-from-disorder phenomena.

arXiv:cond-mat/9411035•Europhysics Letters (EPL)•Nov 10, 1994•6 citations
We present a class of exactly solvable quantum spin models which consist of two Heisenberg subsystems coupled via a long-range Lieb-Mattis interaction. The total system is exactly solvable whenever the individual subsystems are solvable and allows to study the effects of frustration. We consider i) the antiferromagnetic linear chain and ii) the Lieb-Mattis antiferromagnet for the subsystem Hamiltonians and present i) the complete ground-state phase diagram and ii) the full thermodynamic phase diagram. We find a novel phase which exhibits order-from-disorder phenomena.