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A study of the one-dimensional molecular chain (MC) with two single-particle degenerate states is presented. We establish connection of the MC with the Ising model with phononic interactions and investigate properties of the model using a…

Statistical Mechanics · Physics 2021-03-30 Andrii Gudyma , Iurii Gudyma

The collective properties of spin-crossover chains are studied. Spin-crossover compounds contain ions with a low-spin ground state and low lying high-spin excited states and are of interest for molecular memory applications. Some of them…

Statistical Mechanics · Physics 2007-05-23 Carsten Timm

One-dimensional non-equilibrium models of particles subjected to a coagulation-diffusion process are important in understanding non-equilibrium dynamics, and fluctuation-dissipation relation. We consider in this paper transport properties…

Statistical Mechanics · Physics 2015-06-18 Jean-Yves Fortin

We revisit the one-dimensional ferromagnetic Ising spin-chain with a finite number of spins and periodic boundaries and derive analytically and verify numerically its various stationary and dynamical properties at different temperatures. In…

Statistical Mechanics · Physics 2025-04-24 Varazdat Stepanyan , Andreas F. Tzortzakakis , David Petrosyan , Armen E. Allahverdyan

The laws of quantum mechanics are often tested against the behaviour of the lightest element in the periodic table, hydrogen. One of the most striking properties of molecular hydrogen is the coupling between molecular rotational properties…

This paper reports numerical studies of a compressible version of the Ising spin glass in two dimensions. Compressibility is introduced by adding a term that couples the spin-spin interactions and local lattice deformations to the standard…

Disordered Systems and Neural Networks · Physics 2013-05-29 Adam H. Marshall

We present a theoretical model of spin transitions in stacks of molecular layers. Our model captures the already established physics of these systems (thermal hysteretic transitions and crossovers) and suggests a way towards in situ control…

Strongly Correlated Electrons · Physics 2019-12-25 O. I. Utesov , S. Burdin , P. Rosa , M. Gonidec , L. Poggini , S. V. Andreev

We introduce a growing one-dimensional quenched spin model that bases on asymmetrical one-side Ising interactions in the presence of external field. Numerical simulations and analytical calculations based on Markov chain theory show that…

Physics and Society · Physics 2014-05-13 Julian Sienkiewicz , Krzysztof Suchecki , Janusz A. Hołyst

In solid materials, the parameters relevant to quantum effects, such as the spin quantum number, are basically determined and fixed at the chemical synthesis, which makes it challenging to control the amount of quantum correlations. We…

Strongly Correlated Electrons · Physics 2021-07-19 Daisuke Yamamoto , Takahiro Sakurai , Ryosuke Okuto , Susumu Okubo , Hitoshi Ohta , Hidekazu Tanaka , Yoshiya Uwatoko

We calculate the ground-state compressibility of a deformable spin-1/2 Heisenberg-Ising chain with Dzyaloshinskii-Moriya interaction to discuss how a quantum critical point inherent in this spin system may manifest itself in the elastic…

Strongly Correlated Electrons · Physics 2013-04-02 Oleg Derzhko , Jozef Strecka , Lucia Galisova

We study heat conduction in a one-dimensional chain of particles with longitudinal as well as transverse motions. The particles are connected by two-dimensional harmonic springs together with bending angle interactions. The problem is…

Statistical Mechanics · Physics 2009-11-10 Jian-Sheng Wang , Baowen Li

Spin crossover molecules have recently emerged as a family of compounds potentially useful for implementing molecular spintronics devices. The calculations of the electronic properties of such molecules is a formidable theoretical challenge…

Materials Science · Physics 2015-06-04 Andrea Droghetti , Dario Alfe' , Stefano Sanvito

We discuss how the crossovers in models like spin-boson model are changed by adding the coupling of the central spin to localised modes- the latter modelled as a 'spin bath'. These modes contain most of the environmental entropy and energy…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 P. C. E. Stamp , I. S. Tupitsyn

Spin-crossover compounds, which are characterized by magnetic ions showing low-spin and high-spin states at thermally accessible energies, are ubiquitous in nature. We here focus on the effect of an exchange interaction on the collective…

Statistical Mechanics · Physics 2009-11-13 Carsten Timm , Charles J. Pye

We study high temperature spin transport in a disordered Heisenberg chain in the ergodic regime. By employing a density matrix renormalization group technique for the study of the stationary states of the boundary-driven Lindblad equation…

Disordered Systems and Neural Networks · Physics 2016-07-27 Marko Znidaric , Antonello Scardicchio , Vipin Kerala Varma

We considered the Ising 1D chain in an external magnetic field taking into account the nearest and next-nearest neighbor interactions. By the method of Kramers--Wannier transfer-matrix, the rigorous analytical expression for…

Statistical Mechanics · Physics 2022-06-22 A. V. Zarubin , F. A. Kassan-Ogly , A. I. Proshkin

We derive and study a model of square planar, d8 spin crossover materials that treats elastic, magnetic and spin-orbit interactions on an equal footing. For 1D chains density matrix renormalization group calculations show that the…

Strongly Correlated Electrons · Physics 2024-08-23 Finnian Rist , Henry L. Nourse , Ben J. Powell

We investigate the dynamics of the quantum Ising model on two-dimensional square lattices up to $16 \times 16$ spins. In the ordered phase, the model is predicted to exhibit dynamically constrained dynamics, leading to confinement of…

Quantum Physics · Physics 2025-04-29 Luka Pavešić , Daniel Jaschke , Simone Montangero

We study the crossover behaviors that can be observed in the high-temperature phase of three-dimensional dilute spin systems, using a field-theoretical approach. In particular, for randomly dilute Ising systems we consider the…

Statistical Mechanics · Physics 2016-08-31 Pasquale Calabrese , Pietro Parruccini , Andrea Pelissetto , Ettore Vicari

We show that condensate-induced transitions between two-dimensional topological phases provide a general framework to relate one-dimensional spin models at their critical points. We demonstrate this using two examples. First, we show that…

Strongly Correlated Electrons · Physics 2013-07-18 Teresia Mansson , Ville Lahtinen , Juha Suorsa , Eddy Ardonne
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