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

Excitation gap of an antiferromagnetic Heisenberg chain with multiple decorations

Hitoshi Asakawa

Published Oct 1, 2000• 5 citations
Publisher
DOI
10.1016/s0378-4371(00)00189-8

Related papers

The Haldane Gap in Antiferromagnetic Heisenberg Chains

Ian K. Affleck

Advanced series in mathematical physics•Feb 1, 1994•0 citations

Haldane gap in the spin- ½ double chain Heisenberg antiferromagnet

Kazuo Hida

Journal of Magnetism and Magnetic Materials•Feb 1, 1992•2 citations

Excitation Spectrum of an Antiferromagnetic Heisenberg Chain

A. A. Ovchinnikov

Journal of Experimental and Theoretical Physics•Jan 1, 1969•3 citations

Multiple frustration-induced plateaus in a magnetization process of the mixed spin-1/2 and spin-3/2 Ising-Heisenberg diamond chain

Jozef Strečka, L Čanová, T. Lučivjanský +1 more

Magnetization process of the mixed spin-1/2 and spin-3/2 Ising-Heisenberg diamond chain is examined by combining three exact analytical techniques: Kambe projection method, decoration-iteration transformation and transfer-matrix method. Multiple frustration-induced plateaus in a magnetization process of this geometrically frustrated system are found provided that a relative ratio between the antiferromagnetic Heisenberg- and Ising-type interactions exceeds some particular value. By contrast, there is just a single magnetization plateau if the frustrating Heisenberg interaction is sufficiently small compared to the Ising one.

arXiv:0806.2566•Journal of Physics Conference Series•Jan 1, 2009•11 citations

Excitations in the antiferromagnetic Heisenberg chain

András Sütö

Solid State Communications•Nov 1, 1976•5 citations

Haldane Gap in the Spin-1/2 Double Chain Heisenberg Antiferromagnet -Numerical Diagonalization and Projector Monte Carlo Study-

Kazuo Hida

The properties of the spin-1/2 double chain Heisenberg antiferromagnet are studied by means of the numerical diagonalization and the projector Monte Carlo simulation. The model consists of the two spin 1/2 antiferromagnetic quantum Heisenberg chains coupled with each other via the ferromagnetic interchain coupling J ′ . It is shown that the first excited state has a gap for large enough J ′ . This gap continues to the Haldane gap in the limit J ′ →∞, where spins on the different chains form triplets on each site. On the other hand, the gap decreases rapidly between J ′ =1.0 and 0.6 and is undetectable for J ′ <0.6 within the present accuracy.

Journal of the Physical Society of Japan•Apr 15, 1991•78 citations
Magnetization process of the mixed spin-1/2 and spin-3/2 Ising-Heisenberg diamond chain is examined by combining three exact analytical techniques: Kambe projection method, decoration-iteration transformation and transfer-matrix method. Multiple frustration-induced plateaus in a magnetization process of this geometrically frustrated system are found provided that a relative ratio between the antiferromagnetic Heisenberg- and Ising-type interactions exceeds some particular value. By contrast, there is just a single magnetization plateau if the frustrating Heisenberg interaction is sufficiently small compared to the Ising one.
The properties of the spin-1/2 double chain Heisenberg antiferromagnet are studied by means of the numerical diagonalization and the projector Monte Carlo simulation. The model consists of the two spin 1/2 antiferromagnetic quantum Heisenberg chains coupled with each other via the ferromagnetic interchain coupling J ′ . It is shown that the first excited state has a gap for large enough J ′ . This gap continues to the Haldane gap in the limit J ′ →∞, where spins on the different chains form triplets on each site. On the other hand, the gap decreases rapidly between J ′ =1.0 and 0.6 and is undetectable for J ′ <0.6 within the present accuracy.