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:2002.05430 · Journal of Magnetism and Magnetic Materials

Frustrations in the Ising chain with the third-neighbor interactions

Alexander V. Zarubin, Felix A. Kassan-Ogly, Alexey I. Proshkin

Published Jun 20, 2020• 10 citations
arXivHTMLPDF
DOI
10.1016/j.jmmm.2020.167144

Related papers

Frustration and ordering in Ising chain in an external magnetic field with third-neighbor interactions

Alexander V. Zarubin, Felix A. Kassan-Ogly

arXiv:2206.06753•Journal of Magnetism and Magnetic Materials•Mar 14, 2023•0 citations

Cross-over of universality class in the Ising chain frustrated by long-range interactions

Alessandro Vindigni, Fabio Cinti, Oliver Portmann +1 more

Bulletin of the American Physical Society•Mar 19, 2009•0 citations

Two-component ising chain with nearest-neighbor interaction

F. T. Lee, Elliot W. Montroll, Leepo C. Yu

Journal of Statistical Physics•Aug 1, 1973•12 citations

Competing and aperiodic interactions in the Ising chain

Roberto F. S. Andrade, Silvio R. A. Salinas

Physica A Statistical Mechanics and its Applications•Aug 1, 1997•0 citations

Frustrations and orderings in Ising chain with multiple interactions

Alexander V. Zarubin, Felix A. Kassan-Ogly, Alexey I. Proshkin

Abstract The frustration properties of the Ising model on a one-dimensional monoatomic equidistant lattice are investigated taking into account the exchange interactions of atomic spins at the sites of the first (nearest), second (next-nearest) and third neighbors. The exact solution of the model was obtained using the Kramers–Wannier transfer matrix method. The types of magnetic ordering of the ground state of the model are determined, and a magnetic phase diagram is constructed. Criteria are formulated for the occurrence of magnetic frustrations in the presence of competition between the energies of exchange interactions. Non-zero entropy values in the ground state of the frustrated system were found.

arXiv:2206.09177•Journal of Physics Conference Series•Nov 1, 2019•4 citations

Exact results for a generalized spin‐1/2 Ising–Heisenberg diamond chain with the second‐neighbor interaction between nodal spins

Bohdan Lisnyi, Jozef Strečka

The ground state and thermodynamics of a generalized spin‐1/2 Ising–Heisenberg diamond chain with the second‐neighbor interaction between nodal spins are calculated exactly using the mapping method based on the decoration–iteration transformation. Rigorous results for the magnetization, susceptibility, and heat capacity are investigated in dependence on temperature and magnetic field for the frustrated diamond spin chain with the antiferromagnetic Ising and Heisenberg interactions. It is demonstrated that the second‐neighbor interaction between nodal spins gives rise to a greater diversity of low‐temperature magnetization curves, which may include an intermediate plateau at two‐third of the saturation magnetization related to the classical ferrimagnetic (up–up–up–down–up–up– ) ground state with translationally broken symmetry besides an intermediate one‐third magnetization plateau reflecting the translationally invariant quantum ferrimagnetic (monomer–dimer) spin arrangement.

arXiv:1312.3439•physica status solidi (b)•Apr 3, 2014•27 citations
Abstract The frustration properties of the Ising model on a one-dimensional monoatomic equidistant lattice are investigated taking into account the exchange interactions of atomic spins at the sites of the first (nearest), second (next-nearest) and third neighbors. The exact solution of the model was obtained using the Kramers–Wannier transfer matrix method. The types of magnetic ordering of the ground state of the model are determined, and a magnetic phase diagram is constructed. Criteria are formulated for the occurrence of magnetic frustrations in the presence of competition between the energies of exchange interactions. Non-zero entropy values in the ground state of the frustrated system were found.
The ground state and thermodynamics of a generalized spin‐1/2 Ising–Heisenberg diamond chain with the second‐neighbor interaction between nodal spins are calculated exactly using the mapping method based on the decoration–iteration transformation. Rigorous results for the magnetization, susceptibility, and heat capacity are investigated in dependence on temperature and magnetic field for the frustrated diamond spin chain with the antiferromagnetic Ising and Heisenberg interactions. It is demonstrated that the second‐neighbor interaction between nodal spins gives rise to a greater diversity of low‐temperature magnetization curves, which may include an intermediate plateau at two‐third of the saturation magnetization related to the classical ferrimagnetic (up–up–up–down–up–up– ) ground state with translationally broken symmetry besides an intermediate one‐third magnetization plateau reflecting the translationally invariant quantum ferrimagnetic (monomer–dimer) spin arrangement.