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Using a combination of high-temperature series expansion, exact diagonalization and quantum Monte Carlo, we perform a complementary analysis of the thermodynamic properties of quasi-one-dimensional mixed-spin systems with alternating…

Strongly Correlated Electrons · Physics 2007-05-23 Noboru Fukushima , Andreas Honecker , Stefan Wessel , Wolfram Brenig

We consider an Ising model on the Cayley tree $\Gamma_k$ of arbitrary order $k\ge1$ with three spin species of values $(\tfrac12,1,\tfrac32)$ distributed deterministically with period three along the generations. Within the framework of…

Probability · Mathematics 2026-02-16 Farrukh Mukhamedov , Muzaffar Rahmatullaev , Obid Karshiboev

Nonlinear spin dynamics are essential in exploring nonequilibrium quantum phenomena and have broad applications in precision measurement. Among these systems, the combination of a bias magnetic field and feedback mechanisms can induce…

Quantum Physics · Physics 2024-10-29 Tishuo Wang , Zhihuang Luo , Shizhong Zhang , Zhenhua Yu

It is well known that Glauber dynamics on spin systems typically suffer exponential slowdowns at low temperatures. This is due to the emergence of multiple metastable phases in the state space, separated by narrow bottlenecks that are hard…

Probability · Mathematics 2024-12-24 Reza Gheissari , Alistair Sinclair

Recently, Balliu, Brandt, and Olivetti [FOCS '20] showed the first $\omega(\log^* n)$ lower bound for the maximal independent set (MIS) problem in trees. In this work we prove lower bounds for a much more relaxed family of distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-07 Alkida Balliu , Sebastian Brandt , Fabian Kuhn , Dennis Olivetti

We study the entanglement spectrum (ES) of a finite XXZ spin 1/2 chain in the limit \Delta -> -1^+ for both open and periodic boundary conditions. At \Delta=-1 (ferromagnetic point) the model is equivalent to the Heisenberg ferromagnet and…

Strongly Correlated Electrons · Physics 2012-08-30 Vincenzo Alba , Masudul Haque , Andreas M. Laeuchli

Clusters of interacting two-level-systems (TLS),likely due to $F^+$ centers at the metal-insulator interface, are shown to self consistently lead to $1/f^{\alpha }$ magnetization noise in SQUIDs. By introducing a correlation-function…

Mesoscale and Nanoscale Physics · Physics 2015-03-09 Amrit De

The ferromagnetic Ising model on an $n\times n$ square lattice region $\Lambda$ with mixed boundary conditions can exhibit a phase transition as temperature varies. For this spin system, if we fix the spins on the top and bottom sides of…

Discrete Mathematics · Computer Science 2026-05-26 David Gillman , Dana Randall

The existence of global weak solutions to a coupled spin drift-diffusion and Maxwell-Landau-Lifshitz system is proved. The equations are considered in a two-dimensional magnetic layer structure and are supplemented with Dirichlet-Neumann…

Analysis of PDEs · Mathematics 2015-08-12 Nicola Zamponi , Ansgar Jüngel

Nonlinear spin systems exhibit rich and exotic dynamical phenomena, offering promising applications ranging from spin masers and time crystals to precision measurement. Recent theoretical work [T. Wang et al., Commun. Phys. 8, 41 (2025)]…

Quantum Physics · Physics 2025-10-16 Xiaofan Wang , Haitao Lu , Hengyan Wang , Zhihuang Luo , Wenqiang Zheng

We consider a finite two-dimensional Heisenberg triangular spin lattice at different degrees of anisotropy coupled to a dissipative Lindblad environment obeying the Born-Markovian constrain at finite temperature. We show how applying an…

Quantum Physics · Physics 2020-09-18 Gehad Sadiek , Samaher Almalki

We solve the growing asymmetric Ising model [Phys. Rev. E 89, 012105 (2014)] in the topologies of deterministic and stochastic (random) scale-free trees predicting its non-monotonous behavior for external fields smaller than the coupling…

Statistical Mechanics · Physics 2014-10-14 Julian Sienkiewicz

We study two similar spin ladder systems with the ferromagnetic leg coupling. First model includes two sorts of spins, s= 1/2 and s= 1, and the second model comprises only s=1/2 legs coupled by a "triangular" rung exchange. The…

Strongly Correlated Electrons · Physics 2007-05-23 D. N. Aristov , M. N. Kiselev

Antiferromagnetic spin rings represent prototypical realizations of highly correlated, low-dimensional systems. Here we theoretically show how the introduction of magnetic defects by controlled chemical substitutions results in a strong…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 I. Siloi , F. Troiani

We measured the temperature dependence of the magnetic susceptibility and specific heat and the magnetic-field dependence of the magnetization of CuInVO$_5$. An antiferromagnetically ordered state appears below $T_{\rm N} = 2.7$ K. We…

Strongly Correlated Electrons · Physics 2016-12-21 Masashi Hase , Masashige Matsumoto , Akira Matsuo , Koichi Kindo

In this paper we demonstrate the application of high magnetic fields to study the magnetic properties of low dimensional spin systems. We present a case study on the series of 2-leg spin-ladder compounds…

We used mean-field theory based on the Bogoliubov inequality for the Gibbs free energy to examine the magnetic properties of a mixed spin-5/2 and spin-7/2 Blume-Capel ferrimagnetic system. The thermal behaviours of the system magnetization…

Statistical Mechanics · Physics 2019-10-03 M. Karimou , R. A. Yessoufou , G. Dimitri Ngantso , F. Hontinfinde , E. Albayrak

We consider Glauber dynamics of classical spin systems of Ising type in the limit when the temperature tends to zero in finite volume. We show that information on the structure of the most profound minima and the connecting saddle points of…

Disordered Systems and Neural Networks · Physics 2015-06-24 Anton Bovier , Francesco Manzo

Few-magnon bound states in quantum spin chains have been long studied and attracted much recent attentions. For a higher-spin ferromagnetic XXZ chain with single-ion anisotropy, several features regarding the evolution of the low-lying…

Strongly Correlated Electrons · Physics 2024-09-10 Xinlan Lou , Jiawei Li , Ning Wu

Consider the complete graph on $n$ vertices. To each vertex assign an Ising spin that can take the values $-1$ or $+1$. Each spin $i \in [n]=\{1,2,\dots, n\}$ interacts with a magnetic field $h \in [0,\infty)$, while each pair of spins $i,j…

Probability · Mathematics 2022-04-28 Anton Bovier , Frank den Hollander , Saeda Marello
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