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In the 1970s a new paradigm was introduced that interacting quenched systems, such as a spin-glass, have a phase transition in which long time memory of spatial patterns is realized without spatial correlations. The principal methods to…

We analyze the effect of a bath of spins interacting with a spin system in terms of the equation of motion technique. We show that this formalism can be used with general spin systems and baths, and discuss the concrete case of a Quantum…

Strongly Correlated Electrons · Physics 2019-09-23 Álvaro Gómez-León , Tim Cox , Philip Stamp

The relation between the dilatation operator of N=4 Yang-Mills theory and integrable spin chains makes it possible to compute the one-loop anomalous dimensions of all operators in the theory. In this paper we show how to apply the…

High Energy Physics - Theory · Physics 2010-02-03 Radu Roiban , Anastasia Volovich

We investigate proposals of how the form factor approach to compute correlation functions at zero temperature can be extended to finite temperature. For the two-point correlation function we conclude that the suggestion to use the usual…

High Energy Physics - Theory · Physics 2015-06-26 O. A. Castro-Alvaredo , A. Fring

We apply the Yang-Lee theory of phase transitions to an urn model of separation of sand. The effective partition function of this nonequilibrium system can be expressed as a polynomial of the size-dependent effective fugacity $z$. Numerical…

Statistical Mechanics · Physics 2009-11-10 Ioana Bena , Francois Coppex , Michel Droz , Adam Lipowski

The distribution of Yang-Lee zeros in the ferromagnetic Ising model in both two and three dimensions is studied on the complex field plane directly in the thermodynamic limit via the tensor network methods. The partition function is…

Strongly Correlated Electrons · Physics 2015-10-28 Artur Garcia-Saez , Tzu-Chieh Wei

Phase Transition is associated with a drastic change in some observable (ordered parameter) of the system when the controlled parameter is tuned smoothly. Lee-Yang theory of phase transition is discussed which is related to the accumulation…

Statistical Mechanics · Physics 2022-05-10 Shoaib Akhtar

We analyze the way in which duality constrains the exact beta function and correlation length in single-coupling spin systems. A consistency condition we propose shows very concisely the relation between self-dual points and phase…

Condensed Matter · Physics 2008-11-26 P. H. Damgaard , P. E. Haagensen

Theory of spin-charge conversion effects in spintronics are presented in terms of correlation functions of physical observables, spin and electric current. Direct and inverse spin Hall effects and spin pumping effect are studied considering…

Mesoscale and Nanoscale Physics · Physics 2018-11-28 Gen Tatara

The hot nucleus $^{162}\mathrm{Dy}$ is investigated using covariant density functional theory, where the shell-model-like approach treats the pairing correlation. Lee-Yang's theorem is applied to classify the pairing phase transition by…

Nuclear Theory · Physics 2023-03-17 Yuhang Gao , Yanlong Lin , Lang Liu

Using the electrostatic analogy, we derive an exact formula for the limiting Yang-Lee zero distribution in the random allocation model of general weights. This exhibits a real-space condensation phase transition, which is induced by a…

Statistical Mechanics · Physics 2025-01-28 Zdzislaw Burda , Desmond A. Johnston , Mario Kieburg

We apply the recently developed thermal form factor expansion method to evaluate the real-time longitudinal spin-spin correlation functions of the spin-$\frac{1}{2}$ XXZ chain in the antiferromagnetically ordered regime at temperature…

Statistical Mechanics · Physics 2021-05-26 Constantin Babenko , Frank Göhmann , Karol K. Kozlowski , Jesko Sirker , Junji Suzuki

We study the long-time decay of fourth-order electron spin correlation functions for an isolated singly charged semi-conductor quantum dot. The electron spin dynamics is governed by the applied external magnetic field as well as the…

Mesoscale and Nanoscale Physics · Physics 2017-10-23 Nina Fröhling , Frithjof B. Anders

We study the impact of parton correlations on the double Drell-Yan process, i.e. on the production of two electroweak gauge bosons by double parton scattering in a single proton-proton collision. Spin correlations between two partons in a…

High Energy Physics - Phenomenology · Physics 2013-01-23 Tomas Kasemets , Markus Diehl

We launch a first investigation into how a light scalar field coupled both conformally and disformally to matter influences the evolution of spinning point-like bodies. Working directly at the level of the equations of motion, we derive…

General Relativity and Quantum Cosmology · Physics 2021-03-09 Philippe Brax , Anne-Christine Davis , Scott Melville , Leong Khim Wong

We present a Green's-function theory of magnetic short-range order in the $S=1/2$ easy-plane XXZ chain based on the projection method for the dynamic spin susceptibility and a decoupling of three-spin operator products introducing vertex…

Strongly Correlated Electrons · Physics 2009-10-31 C. Schindelin , H. Fehske , H. Büttner , D. Ihle

We use the relation between 2d Yang-Mills and Brownian motion to show that 2d Yang-Mills on the cylinder is related to Chern-Simons theory in a class of lens spaces. Alternatively, this can be regarded as 2dYM computing certain correlators…

High Energy Physics - Theory · Physics 2008-11-26 Sebastian de Haro

A general analytical formula for recurrence relations of multisite interaction Ising models in an external magnetic field on the Cayley-type lattices is derived. Using the theory of complex analytical dynamics on the Riemann sphere, a…

Statistical Mechanics · Physics 2009-10-31 N. S. Ananikian , R. G. Ghulghazaryan

We evaluated all two loop conformal integrals appearing in five point correlation functions of protected operators of $\mathcal{N} = 4$ Super Yang-Mills in several kinematical regimes. Starting from the correlation function of the lightest…

High Energy Physics - Theory · Physics 2024-01-12 Carlos Bercini , Bruno Fernandes , Vasco Gonçalves

The statistics of critical spin-spin correlation functions in Ising systems with non-frustrated disorder are investigated on a strip geometry, via numerical transfer-matrix techniques. Conformal invariance concepts are used, in order to…

Statistical Mechanics · Physics 2007-05-23 Jean C. Lessa , S. L. A. de Queiroz
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