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The layered compound $\alpha$-RuCl$_3$ is composed of a honeycomb lattice of magnetic Ru$^{3+}$ ions with the $4d^5$ electronic state. We have investigated the magnetic properties of $\alpha$-RuCl$_3$ via magnetization and specific heat…

Strongly Correlated Electrons · Physics 2015-06-24 Yumi Kubota , Hidekazu Tanaka , Toshio Ono , Yasuo Narumi , Koichi Kindo

We study the ferromagnetic random-field Ising model on random graphs of fixed connectivity z (Bethe lattice) in the presence of an external magnetic field $H$. We compute the number of single-spin-flip stable configurations with a given…

Disordered Systems and Neural Networks · Physics 2009-11-10 F. Detcheverry , M. L. Rosinberg , G. Tarjus

Magnetization plateaus and phase diagrams of the extended Ising model on the Shastry-Sutherland lattice with the first $(J_1)$, second $(J_2)$, third $(J_3)$ fourth $(J_4)$ and fifth $(J_5)$ nearest-neighbour spin couplings are studied by…

Statistical Mechanics · Physics 2019-02-20 Pavol Farkasovsky , Lubomira Regeciova

We present an exact analytical solution for the one-dimensional Ising model in the presence of an external magnetic field applied periodically to every $k$-th site. The problem is handled using the symmetrized transfer matrix approach, we…

Statistical Mechanics · Physics 2025-11-20 Malek Telfah , Abdalla Obeidat

In this work, we investigate the microscopic nature of the magnetism in honeycomb iridium-based systems by performing a systematic study of how the effective magnetic interactions in these compounds depend on various electronic microscopic…

Strongly Correlated Electrons · Physics 2015-06-22 Yuriy Sizyuk , Craig Price , Peter Wölfle , Natalia B. Perkins

The mapping transformation technique is applied to obtain exact results for the spin-1/2 and spin-S (S=1/2,1) Ising-Heisenberg antiferromagnetic chain in the presence of an external magnetic field. Within this scheme, a field-induced…

Statistical Mechanics · Physics 2009-11-10 Jozef Strecka , Michal Jascur

We have investigated the origin of the magnetic dipole correlations $\langle \sigma_{\boldsymbol{Q}}^z \sigma_{\boldsymbol{-Q}}^z \rangle$ characterized by the modulation wave vector $\boldsymbol{k} \sim…

Strongly Correlated Electrons · Physics 2022-02-09 Hiroaki Kadowaki , Mika Wakita , Björn Fåk , Jacques Ollivier , Seiko Ohira-Kawamura

We apply the coupled cluster method (CCM) in order to study the ground-state properties of the (unfrustrated) square-lattice and (frustrated) triangular-lattice spin-half Heisenberg antiferromagnets in the presence of external magnetic…

Strongly Correlated Electrons · Physics 2010-04-14 D. J. J. Farnell , R. Zinke , J. Richter , J. Schulenburg

Magnetic properties of the spin-1/2 XXZ Heisenberg cuboctahedron are examined using exact numerical diagonalization depending on a relative strength of the exchange anisotropy. While the Ising cuboctahedron exhibits in a low-temperature…

Statistical Mechanics · Physics 2018-01-26 K. Karlova , J. Strecka

This investigation covers the effects of variable exchange interactions on the spin dynamics of the zig-zag honeycomb lattice. Using a Holstein-Primakoff expansion of the Heisenberg Hamiltonian with easy-axis anisotropy, we characterize the…

Strongly Correlated Electrons · Physics 2025-07-29 E. M. Wilson , J. T. Haraldsen

We study effects of the next-next-nearest-neighbour antiferromagnetic ($J_3 < 0$) interaction on critical properties (or phase diagram) of the frustrated spin-$\frac{1}{2}$ $J_1-J_2-J_3$ Ising antiferromagnet on the honeycomb lattice by…

Statistical Mechanics · Physics 2023-07-19 A. Bobák , T. Lučivjanský , M. Žukovič , M. Borovský , T. Balcerzak

A general approach for the description of spin systems on hierarchial lattices with coordination number $q$ as a dynamical variable is proposed. The ferromagnetic Ising model on the Bethe lattice was studied as a simple example…

Statistical Mechanics · Physics 2008-04-18 N. S. Ananikian , K. G. Sargsyan

Using the reflection positivity method we provide the rigorous proof of the existence of long range magnetic order for the XY model on the honeycomb lattice for large spins $S\ge 2$. This stays in contrast with the result obtained using the…

Strongly Correlated Electrons · Physics 2023-02-10 Jacek Wojtkiewicz , Krzysztof Wohlfeld , Andrzej M. Oleś

The interplay between itinerant electrons and local magnetic moments in quantum materials brings about rich and fascinating phenomena and stimulates various developments in the theoretical framework. In this work, thermodynamic, electric…

We investigate the magnetization and the magnetostriction of the dipole-octupole quantum spin ice candidate Ce2Hf2O7 down to 50 mK. We find that the magnetization curves observed with the magnetic field applied along all the principal axes…

The zero-temperature magnetization process of a one-dimensional S=1/2 spin system with next-nearest-neighbour coupling alpha and anisotropy delta is studied. There is a region in the parameter space where the magnetization has a jump at…

Strongly Correlated Electrons · Physics 2007-05-23 Shunsaku Hirata

For the mean-field version of an important lattice-spin model due to Blume and Capel, we prove unexpected connections among the asymptotic behavior of the magnetization, the structure of the phase transitions, and a class of polynomials…

Statistical Mechanics · Physics 2015-05-13 Richard S. Ellis , Jonathan Machta , Peter Tak-Hun Otto

We investigate a high-order homogenization (HOH) algorithm for periodic multilayered stacks. The mathematical tool of choice is a transfer matrix method. Expressions for effective permeability, permittivity and magnetoelectric coupling are…

Mesoscale and Nanoscale Physics · Physics 2013-04-26 Yan Liu , Sébastien Guenneau , Boris Gralak

The temperature-magnetic-field phase diagram of the mixed honeycomb triangular lattice system K$_{2}$Mn$_{3}$(VO$_{4}$)$_{2}$CO$_{3}$ is investigated by means of magnetization, heat capacity and neutron scattering measurements. The results…

Magnetic properties of layered high temperature superconductors with a weak interlayer coupling in the region of the critical fluctuations are investigated in the framework of the Ginzburg--Landau approach. The sample magnetization is…

Superconductivity · Physics 2007-05-23 Gregory M. Braverman