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Artificial magnetic honeycomb lattices are expected to exhibit a broad and tunable range of novel magnetic phenomena that would be difficult to achieve in natural materials, such as long-range spin ice, entropy-driven magnetic…

Mesoscale and Nanoscale Physics · Physics 2018-02-20 B. Summers , L. Debeer-Schmitt , A. Dahal , A. Glavic , P. Kampschroeder , J. Gunasekera , D. K. Singh

The magnetization dynamics of the triangular lattice of Ising spin chains is investigated in the framework of a two-dimensional model. The rigid chains are assumed to interact with the nearest neighboring chains, an external magnetic field,…

Strongly Correlated Electrons · Physics 2009-11-13 Yu. B. Kudasov , A. S. Korshunov , V. N. Pavlov , D. A. Maslov

Cu2(pymca)3(ClO4) (pymca: pyrimidine-2-carboxylate) consists of a slightly distorted honeycomb lattice of Cu2+ spins, which shows no long-range magnetic order down to 0.6 K. A magnetization study revealed 1/3 and 2/3 plateau phases [A.…

Strongly Correlated Electrons · Physics 2025-08-11 Masaaki Matsuda , Alexander I. Kolesnikov , Zentaro Honda , Tokuro Shimokawa , Sho Inoue , Yasuo Narumi , Masayuki Hagiwara

Using a combinatorial method, the partition functions for two-dimensional nearest neighbour Ising models have been derived for a square lattice of 16 sites in the presence of the magnetic field. A novel hierarchical method of enumeration of…

Statistical Mechanics · Physics 2022-05-24 Anshu Priya , M V Sangaranarayanan

An alternative exact explicit solution of 1D Ising chain is presented without using any boundary conditions (or free boundary condition) by the help of applying successively block-spin transformation. Exact relation are obtained between…

Statistical Mechanics · Physics 2018-01-16 Tuncer Kaya

We show how the spontaneous bulk, surface and corner magnetizations in the square lattice Ising model can all be obtained within one approach. The method is based on functional equations which follow from the properties of corner transfer…

Statistical Mechanics · Physics 2009-10-28 Brian Davies , Ingo Peschel

Magnetic properties of a mixed spin-1/2 and spin-3/2 Ising model on honeycomb lattice are investigated within the framework of an exact star-triangle mapping transformation. The particular attention is focused on the effect of uniaxial and…

Statistical Mechanics · Physics 2007-05-23 Michal Jascur , Jozef Strecka

Two-dimensional high-spin bipartite honeycomb networks, where anisotropy, competing exchange interactions, and spin fluctuations interplay, provide an alternative platform to test theoretical models that distinguish between classical and…

Strongly Correlated Electrons · Physics 2026-05-05 M. Barik , Q. Faure , F. Damay , J. P. Embs , S. Petit , P. Khuntia

A family of insulating iridates with chemical formula Li$_2$IrO$_3$ has recently been discovered, featuring three distinct crystal structures $\alpha,\beta,\gamma$ (honeycomb, hyperhoneycomb, stripyhoneycomb). Measurements on the…

Strongly Correlated Electrons · Physics 2015-06-17 Itamar Kimchi , Radu Coldea , Ashvin Vishwanath

Novel magnetic ordering on the honeycomb lattice due to emergent weak anisotropic interactions generated by the mixing between the $J=1/2$ sector and the magnetically inactive 3/2 sector is investigated in a three-orbital interacting…

Strongly Correlated Electrons · Physics 2019-08-27 Shubhajyoti Mohapatra , Avinash Singh

We report on a member of the spin-disordered honeycomb lattice antiferromagnet in a quasi-one-dimensional cobaltate Ba_3Co_2O_6(CO_3)_0.7. Resistivity exhibits as semimetallic along the face-sharing CoO6 chains. Magnetic susceptibility…

Strongly Correlated Electrons · Physics 2014-03-04 Hirokazu Igarashi , Yasuhiro Shimizu , Yoshiaki Kobayashi , Masayuki Itoh

Plateaux in the magnetization curves of the square, triangular and hexagonal lattice spin-1/2 XXZ antiferromagnet are investigated. One finds a zero magnetization plateau (corresponding to a spin-gap) on the square and hexagonal lattice…

Strongly Correlated Electrons · Physics 2009-10-31 A. Honecker

The nature of magnetic correlation at low temperature in two-dimensional artificial magnetic honeycomb lattice is a strongly debated issue. While theoretical researches suggest that the system will develop a novel zero entropy spin solid…

Mesoscale and Nanoscale Physics · Physics 2018-02-20 A. Glavic , B. Summers , A. Dahal , R. J. Kline , W. Van Herck , A. Sukhov , A. Ernst , D. K. Singh

The Ising chain consisting of the antiferromagneticaly coupled ferromagnetic trimer is considered in the external magnetic field. In the framework of the transfer-matrix formalism the thermodynamics of the system is described. The…

Statistical Mechanics · Physics 2009-11-07 V. R. Ohanyan , N. S. Ananikian

The bipartite entanglement across the magnetization process of a highly frustrated spin-1/2 Heisenberg octahedral chain is examined within the concept of localized magnons, which enables a simple calculation of the concurrence measuring a…

Statistical Mechanics · Physics 2021-10-18 Jozef Strecka , Olesia Krupnitska , Johannes Richter

We develop a self-consistently renormalized spin-wave theory, within a mean-field approximation, for the two-dimensional Heisenberg ferromagnet with perpendicular easy-axis anisotropy on the honeycomb lattice, as well as its few-layer and…

Materials Science · Physics 2021-08-25 Vagharsh Mkhitaryan , Liqin Ke

We calculate magnon dispersions and damping in the Kitaev-Heisenberg model with an off-diagonal exchange $\Gamma$ and isotropic third-nearest-neighbor interaction $J_3$ on a honeycomb lattice. This model is relevant to a description of the…

Strongly Correlated Electrons · Physics 2020-02-21 R. L. Smit , S. Keupert , O. Tsyplyatyev , P. A. Maksimov , A. L. Chernyshev , P. Kopietz

The layered honeycomb magnet $\alpha$-Li$_2$IrO$_3$ has been theoretically proposed as a candidate to display novel magnetic behaviour associated with Kitaev interactions between spin-orbit entangled $j_{\rm eff}=1/2$ magnetic moments on a…

Strongly Correlated Electrons · Physics 2017-02-17 S. C. Williams , R. D. Johnson , F. Freund , Sungkyun Choi , A. Jesche , I. Kimchi , S. Manni , A. Bombardi , P. Manuel , P. Gegenwart , R. Coldea

Single crystal neutron diffraction, inelastic neutron scattering, bulk magnetization measurements, and first-principles calculations are used to investigate the magnetic properties of the honeycomb lattice $\rm Tb_2Ir_3Ga_9$. While the…

Ising model with quenched random magnetic fields is examined for single Gaussian, bimodal and double Gaussian random field distributions by introducing an effective field approximation that takes into account the correlations between…

Statistical Mechanics · Physics 2016-08-14 Yusuf Yüksel , Ümit Akıncı , Hamza Polat