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

Bulletin of the American Physical Society

Variational Ground-State of the One-Dimensional Heisenberg Model

Jay D. Mancini, Vassilios Fessatidis, Robert K. Murawski, William J. Massano, S.P. Bowen

Published Mar 18, 2009• 0 citations
OpenAlex

Related papers

Ground-State Properties of the Frustrated One-Dimensional S=1 Heisenberg Model

Takashi Tonegawa, Makoto Kaburagi, Noriya Ichikawa +1 more

Springer proceedings in physics•Jan 1, 1992•0 citations

Ground State of the One Dimensional Heisenberg Model with {\it NNN} Interactions

Jay D. Mancini, Vassilios Fessatidis, S.P. Bowen +2 more

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

Excitation Gaps of One-Dimensional Spin-1/2 Heisenberg Models with Linearly Decreasing Exchange Interactions

Ken'ichi Takano

Excited states with total spin 1 of a series of one-dimensional Heisenberg models are examined by a variational method. These models have short-range exchange interactions which decrease linearly with the distance between spins. Their ground states are exactly the same complete dimer states as those of the Majumdar-Ghosh model. Variational wave functions for the excited states are constructed by modifying the ground states. Excitation spectra and excitation gaps are obtained in analytic forms for the models with various interaction ranges. The excitation gap increases with increasing interaction range and saturates to a constant value.

Journal of the Physical Society of Japan•Dec 15, 1994•7 citations

Ground States of the Heisenberg Model

Assa Auerbach

Graduate texts in contemporary physics•Jan 1, 1994•2 citations

Variational Study of a Finite Heisenberg Chain

Eric Ashendorf, Joe Weiner, Jay D. Mancini +2 more

Bulletin of the American Physical Society•Mar 22, 2011•0 citations

Exact ground state and kink-like excitations of a two-dimensional Heisenberg antiferromagnet

Rahul Siddharthan

A rare example of a two-dimensional Heisenberg model with an exact dimerized ground state is presented. This model, which can be regarded as a variation on the kagom\'e lattice, has several features of interest: it has a highly (but not macroscopically) degenerate ground state; it is closely related to spin chains studied by earlier authors; in particular, it exhibits domain-wall-like ``kink'' excitations normally associated only with one-dimensional systems. In some limits it decouples into noninteracting chains; unusually, this happens in the limit of strong, rather than weak, interchain coupling.

arXiv:cond-mat/9904376•Physical review. B, Condensed matter•Oct 1, 1999•2 citations
Excited states with total spin 1 of a series of one-dimensional Heisenberg models are examined by a variational method. These models have short-range exchange interactions which decrease linearly with the distance between spins. Their ground states are exactly the same complete dimer states as those of the Majumdar-Ghosh model. Variational wave functions for the excited states are constructed by modifying the ground states. Excitation spectra and excitation gaps are obtained in analytic forms for the models with various interaction ranges. The excitation gap increases with increasing interaction range and saturates to a constant value.
A rare example of a two-dimensional Heisenberg model with an exact dimerized ground state is presented. This model, which can be regarded as a variation on the kagom\'e lattice, has several features of interest: it has a highly (but not macroscopically) degenerate ground state; it is closely related to spin chains studied by earlier authors; in particular, it exhibits domain-wall-like ``kink'' excitations normally associated only with one-dimensional systems. In some limits it decouples into noninteracting chains; unusually, this happens in the limit of strong, rather than weak, interchain coupling.