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In spin-crossover materials, the volume of a molecule changes depending on whether it is in the high-spin (HS) or low-spin (LS) state. This change causes distortion of the lattice. Elastic interactions among these distortions play an…

Materials Science · Physics 2009-11-13 Seiji Miyashita , Yusuké Konishi , Masamichi Nishino , Hiroko Tokoro , Per Arne Rikvold

We study a paradigmatic system with long-range interactions: the Hamiltonian Mean-Field Model (HMF). It is shown that in the thermodynamic limit this model does not relax to the usual equilibrium Maxwell-Boltzmann distribution. Instead, the…

Statistical Mechanics · Physics 2011-07-08 Renato Pakter , Yan Levin

We investigate the Mott transition using a cluster extension of dynamical mean field theory (DMFT). In the absence of frustration we find no evidence for a finite temperature Mott transition. Instead, in a frustrated model, we observe…

Strongly Correlated Electrons · Physics 2009-11-10 O. Parcollet , G. Biroli , G. Kotliar

We consider the transverse field Ising model with additional all-to-all interactions between the spins. We show that a mean-field treatment of this model becomes exact in the thermodynamic limit, despite the presence of 1D short-range…

Statistical Mechanics · Physics 2023-08-24 Etienne Granet

It is well known that cellular dynamical mean-field theory (CDMFT) leads to the artificial breaking of translation invariance. In spite of this, it is one of the most successful methods to treat strongly correlated electrons systems. Here,…

Strongly Correlated Electrons · Physics 2020-01-01 S. Verret , J. Roy , A. Foley , M. Charlebois , D. Sénéchal , A. -M. S. Tremblay

The dynamical mean field theory (DMFT) has become a standard technique for the study of strongly correlated models and materials overcoming some of the limitations of density functional approaches based on local approximations. An important…

Strongly Correlated Electrons · Physics 2015-10-28 K. Hallberg , D. J. García , Pablo S. Cornaglia , Jorge I. Facio , Y. Núñez-Fernández

We explore the derivation of interatomic exchange interactions in ferromagnets within density-functional theory (DFT) and the mapping of DFT results onto a spin Hamiltonian. We delve into the problem of systems comprising atoms with strong…

Materials Science · Physics 2013-10-10 Marjana Lezaic , Phivos Mavropoulos , Gustav Bihlmayer , Stefan Blügel

Since the first investigation of the Hubbard model in the limit of infinite dimensions by Metzner and Vollhardt, dynamical mean-field theory (DMFT) has become a very powerful tool for the investigation of lattice models of correlated…

Strongly Correlated Electrons · Physics 2007-05-23 Ralf Bulla

Infinite-temperature long-time dynamics of Heisenberg model ${\bf\hat{H}}=-\frac{1}{2}\sum_{i,j}J_{ij} \hat{\vec{S}}_{i}\hat{\vec{S}}_{j}$ is investigated. It is shown that the quantum spin pair-correlator is equal to the correlator of…

Condensed Matter · Physics 2009-10-22 Michael Chertkov , Igor Kolokolov

We study the Glauber dynamics at zero temperature of spins placed on the vertices of an uncorrelated network with a power-law degreedistribution. Application of mean-field theory yields as main prediction that for symmetric disordered…

Statistical Mechanics · Physics 2009-11-11 Claudio Castellano , Romualdo Pastor-Satorras

We propose a simple and efficient method to calculate the electronic self-energy in dynamical mean-field theory (DMFT), addressing a numerical instability often encountered when solving the Dyson equation. Our approach formulates the Dyson…

Strongly Correlated Electrons · Physics 2025-03-27 Harrison LaBollita , Jason Kaye , Alexander Hampel

Computing momentum-dependent susceptibilities in the dynamical mean-field theory (DMFT) requires solving the Bethe-Salpeter equation, which demands large computational cost. Exploiting the strong-coupling feature of local fluctuations, we…

Strongly Correlated Electrons · Physics 2019-04-25 Junya Otsuki , Kazuyoshi Yoshimi , Hiroshi Shinaoka , Yusuke Nomura

A one dimensional kinetic Ising model at a finite temperature on a semi-infinite lattice with time varying boundary spins is considered. Exact expressions for the expectation values of the spin at each site are obtained, in terms of the…

Statistical Mechanics · Physics 2012-02-06 Amir Aghamohammadi , Cina Aghamohammadi , Mohammad Khorrami

In this sequel (to [Phys. Rev. Res. 3, 023044(2021)], arXiv:2006.10072), we study randomly driven $(1+1)$ dimensional conformal field theories (CFTs), a family of quantum many-body systems with soluble non-equilibrium quantum dynamics. The…

Statistical Mechanics · Physics 2022-11-01 Xueda Wen , Yingfei Gu , Ashvin Vishwanath , Ruihua Fan

Inspired by a continuously increasing interest in modeling and framing complex systems in a thermody- namic rationale, in this paper we continue our investigation in adapting well known techniques (originally stemmed in fields of physics…

Disordered Systems and Neural Networks · Physics 2015-06-17 Adriano Barra , Andrea Galluzzi , Francesco Guerra , Andrea Pizzoferrato , Daniele Tantari

We investigate transport in several translationally invariant spin-1/2 chains in the limit of high temperatures. We concretely consider spin transport in the anisotropic Heisenberg chain, the pure Heisenberg chain within an alternating…

Statistical Mechanics · Physics 2009-11-03 Robin Steinigeweg , Jochen Gemmer

Within the Dyson-Maleev boson formalism, we study the zero-temperature magnon dispersions in a family of one-dimensional quantum Heisenberg ferrimagnets composed of two different spins $(S_1,S_2)$ in the elementary cell. It is shown that…

Strongly Correlated Electrons · Physics 2009-10-31 N. B. Ivanov

Infinite-range spin-glass models with Levy-distributed interactions show a freezing transition similar to disordered spin systems on finite connectivity random graphs. It is shown that despite diverging moments of the local field…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. Engel

A spin-wave theory of short-range order in the square lattice Heisenberg antiferromagnet is formulated. With growing temperature from T=0 a gapless mode is shown to arise simultaneously with opening a gap in the conventional spin-wave mode.…

Strongly Correlated Electrons · Physics 2009-10-31 A. Sherman , M. Schreiber

We present the theory of nonzero temperature ($T$) spin dynamics and transport in one-dimensional Heisenberg antiferromagnets with an energy gap $\Delta$. For $T << \Delta$, we develop a semiclassical picture of thermally excited particles.…

Strongly Correlated Electrons · Physics 2007-05-23 Kedar Damle , Subir Sachdev