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:0908.3594 · The European Physical Journal B

Lattice distortions in a sawtooth chain with Heisenberg and Ising bonds

Stefano Bellucci A, Vadim Ohanyan

Published May 8, 2010• 26 citations
arXivHTMLPDF
DOI
10.1140/epjb/e2010-00146-x

Related papers

Quantum Heisenberg model on a sawtooth-chain lattice: rotation-invariant Green’s function method

Taras Hutak, Taras Krokhmalskii, Oleg Derzhko +1 more

arXiv:2206.05590•The European Physical Journal B•Jun 1, 2022•4 citations

THE SAWTOOTH CHAIN: FROM HEISENBERG SPINS TO HUBBARD ELECTRONS

Johannes Richter, Oleg Derzhko, A. Honecker

•Dec 1, 2008•2 citations

Quantum topological excitations: from the sawtooth lattice to the Heisenberg chain

Steven A. Blundell, M. D. Núñez-Regueiro

arXiv:cond-mat/0204405•The European Physical Journal B•Feb 1, 2003•66 citations

Correlation functions in one-dimensional spin lattices with Ising and Heisenberg bonds

Stefano Bellucci A, Vadim Ohanyan

arXiv:1211.7358•The European Physical Journal B•Oct 30, 2013•27 citations

Antiferromagnetic sawtooth chain with Heisenberg and Ising bonds

Vadim Ohanyan

The sawtooth chain with pairs of S = 1/2 spins interacting with XXZ-interactions placed on each second tooth is considered.All other interaction bonds are taken to be of Ising type.Exact statistical mechanical solution of the model within the direct transfer-matrix technique is obtained.The solution allows one to obtain exact analytic expressions for all thermodynamic functions of the model.Ground state properties are also investigated, the corresponding ground state phase diagram is presented.

arXiv:0905.4776•Condensed Matter Physics•Jan 1, 2009•32 citations

Heisenberg–Ising delta-chain with bond alternation

D V Dmitriev, V Ya Krivnov

The spin-[Formula: see text] delta-chain (sawtooth chain) with antiferromagnetic Heisenberg basal chain and Ising apical-basal interactions is studied. The basal-apical interactions involve the bond alternation. The limiting cases of the model include the symmetrical delta-chain and the antiferromagnetic chain in the staggered magnetic field. We study ground state properties of the model by the exact diagonalization and density matrix renormalization group methods. The ground state phase diagram as a function of the bond alternation consists of magnetic and various non-magnetic phases. All phases excluding the ferrimagnetic phase are gapped and an origin of the gaps is cleared.

arXiv:1806.06907•Journal of Physics Condensed Matter•Aug 20, 2018•9 citations
The spin-[Formula: see text] delta-chain (sawtooth chain) with antiferromagnetic Heisenberg basal chain and Ising apical-basal interactions is studied. The basal-apical interactions involve the bond alternation. The limiting cases of the model include the symmetrical delta-chain and the antiferromagnetic chain in the staggered magnetic field. We study ground state properties of the model by the exact diagonalization and density matrix renormalization group methods. The ground state phase diagram as a function of the bond alternation consists of magnetic and various non-magnetic phases. All phases excluding the ferrimagnetic phase are gapped and an origin of the gaps is cleared.