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We study the spherical model of a ferromagnet on a Cayley tree and show that in the case of empty boundary conditions the ferromagnetic phase transition takes place at the critical temperature $T_c=\frac{6\sqrt{2}}{5}J$, where $J$ is the…

Statistical Mechanics · Physics 2015-12-29 Anatoly E. Patrick

The three-dimensional Gaussian core model (GCM) for soft-matter systems has repulsive interparticle interaction potential $\phi (r) = \varepsilon\, {\rm exp}\left[ -(r/\sigma)^{2} \right]$, with $r$ the distance between a pair of atoms, and…

Soft Condensed Matter · Physics 2021-01-18 George Ruppeiner , Peter Mausbach , Helge-Otmar May

The problem of weak ferromagnetism in antiferromagnets due to canting of magnetic moments was treated using Green's function technique. At first the eigenvalues and eigenfunctions of the electronic Hamiltonian corresponding to collinear…

Strongly Correlated Electrons · Physics 2010-09-07 V. V. Mazurenko , V. I. Anisimov

We perform a rigorous study of the Gibbs statistics of high-density hard-core random configurations on a unit triangular lattice $\mathbb{A}_2$ and a unit honeycomb graph $\mathbb{H}_2$, for any value of the (Euclidean) repulsion diameter…

Probability · Mathematics 2020-10-23 A. Mazel , I. Stuhl , Y. Suhov

We use an exact numerical diagonalization method to calculate the dynamical spin structure factors (DSFs) of three ab-initio models and one ab-initio-guided model for a honeycomb-lattice magnet $\alpha$-RuCl$_3$. We also use thermal pure…

Strongly Correlated Electrons · Physics 2019-06-07 Takafumi Suzuki , Sei-ichiro Suga

We analyse the spin wave approximation for the 2D-XY model, directly in reciprocal space. In this limit the model is diagonal and the normal modes are statistically independent. Despite this simplicity non-trivial critical properties are…

Statistical Mechanics · Physics 2009-11-07 B. Portelli , P. C. W. Holdsworth

We report on spin atomistic calculations used to model static and dynamic magnetic properties of inhomogeneous ultrathin iron films. Active magnetic layers in next-generation spintronic devices are becoming so thin that they exhibit some…

We consider Gradient Gibbs measures corresponding to a periodic boundary law for a generalized SOS model with spin values from a countable set, on Cayley trees. On the Cayley tree, detailed information on Gradient Gibbs measures for models…

Probability · Mathematics 2023-09-06 F. H. Haydarov , R. A. Ilyasova

Within the Hartree Fock- RPA analysis, we derive the spin wave spectrum for the weak ferromagnetic phase of the Hubbard model on the honeycomb lattice. Assuming a uniform magnetization, the polar (optical) and acoustic branches of the spin…

Strongly Correlated Electrons · Physics 2007-05-23 M A N Araujo , N M R Peres

In this paper we consider the $\lambda$-model on the Cayley tree of order two. We describe periodic and weakly periodic ground states for the considered model.

Mathematical Physics · Physics 2018-01-17 Farrukh Mukhamedov , Chin Hee Pah , Muzaffar Rahmatullaev , Hakim Jamil

We examine the magnetic correlations in quantum spin models that were derived recently as effective low-energy theories for electronic correlation effects on the edge states of graphene nanoribbons. For this purpose, we employ quantum Monte…

Mesoscale and Nanoscale Physics · Physics 2017-10-11 Cornelie Koop , Stefan Wessel

We investigate the mixed spin-$(s,\tfrac12)$ Ising model on a Cayley tree of order three ($k=3$), extending the approach of \cite{Akin2024}. For the representative case $s=5$, the associated recursion leads to an 11-dimensional dynamical…

Mathematical Physics · Physics 2026-02-17 Hasan Akin

We prove Gibbs distribution of two-state spin systems(also known as binary Markov random fields) without hard constrains on a tree exhibits strong spatial mixing(also known as strong correlation decay), under the assumption that, for…

Discrete Mathematics · Computer Science 2009-03-05 Jinshan Zhang

We investigate new physics effects on the Wtb effective couplings in a model-independent manner. The new physics effects are summarized as four independent couplings $f_1^L$, $f_1^R$, $f_2^L$ and $f_2^R$. Using single-top-quark productions…

High Energy Physics - Phenomenology · Physics 2017-06-02 Qing-Hong Cao , Bin Yan , Jiang-Hao Yu , Chen Zhang

I present a very simple model, based on the model of Isgur, Scora, Grinstein and Wise \cite{ISGW}, which can be used to calculate the effects which appear at subleading order in heavy quark effective theory. I include both general formalism…

High Energy Physics - Phenomenology · Physics 2009-10-22 James F. Amundson

An accurate low-energy dispersive parametrization of the scalar Kpi form factor was constructed some time ago in terms of a single parameter guided by the Callan-Treiman low-energy theorem. A similar twice subtracted dispersive…

High Energy Physics - Phenomenology · Physics 2009-09-01 Veronique Bernard , Micaela Oertel , Emilie Passemar , Jan Stern

We show that several new classes of groups are measure strongly treeable. In particular, finitely generated groups admitting planar Cayley graphs, elementarily free groups, and the group of isometries of the hyperbolic plane and all its…

Group Theory · Mathematics 2026-03-20 Clinton T. Conley , Damien Gaboriau , Andrew S. Marks , Robin D. Tucker-Drob

The spin-fermion model was previously successful to describe the complex phase diagrams of colossal magnetoresistive manganites and iron-based superconductors. In recent years, two-dimensional magnets have rapidly raised up as a new…

Strongly Correlated Electrons · Physics 2023-08-22 Kaidi Xu , Di Hu , Jun Chen , Haoshen Ye , Lin Han , Shan-Shan Wang , Shuai Dong

Magnetic topological semimetals (TSMs) are topological quantum materials with broken time-reversal symmetry (TRS) and isolated nodal points or lines near the Fermi level. Their topological properties would typically reveal from the…

Materials Science · Physics 2019-10-08 Jinyu Zou , Zhuoran He , Gang Xu

We investigate the energy loss characteristics of warm dense matter (WDM) and dense plasmas concentrating on the influence of electronic correlations. The basis for our analysis is a recently developed ab initio Quantum Monte-Carlo (QMC)…

Plasma Physics · Physics 2020-05-20 Zh. A. Moldabekov , T. Dornheim , M. Bonitz , T. S. Ramazanov
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