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We explore the behaviour of the disconnected entanglement entropy (DEE) across the topological phases of a long range interacting Kitaev chain where the long range interactions decay as a power law with an exponent $\alpha$. We show that…

Statistical Mechanics · Physics 2022-02-08 Saikat Mondal , Souvik Bandyopadhyay , Sourav Bhattacharjee , Amit Dutta

The one-dimensional isotropic quantum Heisenberg spin systems with random couplings and random spin sizes are investigated using a real-space renormalization group scheme. It is demonstrated that these systems belong to a universality class…

Statistical Mechanics · Physics 2009-10-28 E. Westerberg , A. Furusaki , M. Sigrist , P. A. Lee

Ground state energies and superfluid gaps are calculated for degenerate Fermi systems interacting via long attractive scattering lengths such as cold atomic gases, neutron and nuclear matter. In the intermediate region of densities, where…

Condensed Matter · Physics 2009-10-31 H. Heiselberg

We analytically and numerically study spin transport in a one-dimensional Heisenberg model in linear-response regime at infinite temperature. It is shown that as the anisotropy parameter Delta is varied spin transport changes from ballistic…

Strongly Correlated Electrons · Physics 2011-06-03 Marko Znidaric

We study the behavior of the cusp structures focusing on the isospin symmetry breaking effects. The properties of the exotic hadrons are reflected in the shape of the cusp structures. In realistic hadron scatterings, the threshold energies…

High Energy Physics - Phenomenology · Physics 2025-07-24 Katsuyoshi Sone , Tetsuo Hyodo

In this paper we reexamine the problem of the separation of spin and charge degrees of freedom in two dimensional strongly correlated systems. We establish a set of sufficient conditions for the occurence of spin and charge separation.…

Condensed Matter · Physics 2009-10-22 Christopher Mudry , Eduardo Fradkin

Using exact diagonalization techniques we study the dynamical response of the anisotropic disordered Heisenberg model for systems of S=1/2 spins with infinite range random exchange interactions at temperature T=0. The model can be…

Disordered Systems and Neural Networks · Physics 2007-05-23 Liliana Arrachea , Marcelo J. Rozenberg

We consider the effects of interactions on the nature of spinon excitations in Heisenberg spin-1/2 chains. We explicitly compute the two-spinon part of the longitudinal structure factor of the infinite chain in zero field for all values of…

Strongly Correlated Electrons · Physics 2015-03-17 J. -S. Caux , H. Konno , M. Sorrell , R. Weston

The low energy behavior of a huge variety of one-dimensional interacting spinful fermionic systems exhibits spin-charge separation, described in the continuum limit by two sine-Gordon models decoupled in the charge and spin channels.…

Strongly Correlated Electrons · Physics 2017-10-02 Arianna Montorsi , Fabrizio Dolcini , Rita Iotti , Fausto Rossi

We consider d dimensional systems which are localized in the absence of interactions, but whose single particle (SP) localization length diverges near a discrete set of (single-particle) energies, with critical exponent \nu. This class…

Statistical Mechanics · Physics 2014-11-19 Rahul Nandkishore , Andrew C. Potter

A new approach to non-extensive thermodynamical systems with non-additive energy and entropy is proposed. The main idea of the paper is based on the statistical matching of the thermodynamical systems with the additive multi-step Markov…

Data Analysis, Statistics and Probability · Physics 2007-05-23 S. S. Apostolov , Z. A. Mayzelis , O. V. Usatenko , V. A. Yampol'skii

A one dimensional classically chaotic spin chain with asymmetric coupling and two different inter-spin interactions, nearest neighbors and all-to-all, has been considered. Depending on the interaction range, dynamical properties, as…

Statistical Mechanics · Physics 2014-07-29 F. Borgonovi , G. L. Celardo , M. Maianti , E. Pedersoli

The thermodynamic limit and boundary energy of the isotropic spin-1 Heisenberg chain with non-diagonal boundary fields are studied. The finite size scaling properties of the inhomogeneous term in the $ T-Q $ relation at the ground state are…

High Energy Physics - Theory · Physics 2022-03-07 Zhihan Zheng , Pei Sun , Xiaotian Xu , Tao Yang , Junpeng Cao , Wen-Li Yang

In this work we investigate the phenomena associated with the new thresholds in the spectrum of excitations arising when different one-dimensional strongly interacting systems are voltage biased and weakly coupled by tunneling. We develop…

Mesoscale and Nanoscale Physics · Physics 2019-02-27 Artem Borin , Eugene Sukhorukov

Systems with long-range interactions, while relaxing towards equilibrium, sometimes get trapped in long-lived non-Boltzmann quasistationary states (QSS) which have lifetimes that grow algebraically with the system size. Such states have…

Statistical Mechanics · Physics 2015-03-17 Shamik Gupta , David Mukamel

Molecular dynamic simulations for systems with $D=2,3$ Lennard-Jones-like interactions are studied. In the model, we assume that, at long distances, the two-body attractive potential decays as $r^{-\alpha}$. Thermodynamic extensivity…

Condensed Matter · Physics 2009-10-31 Sergio Curilef , Constantino Tsallis

Motivated by the geometry of spins in the material CaCu$_2$O$_3$, we study a two-layer, spin-half Heisenberg model, with nearest-neighbor exchange couplings J and \alpha*J along the two axes in the plane and a coupling J_\perp perpendicular…

Strongly Correlated Electrons · Physics 2009-11-10 Pinaki Sengupta , Weihong Zheng , Rajiv R. P. Singh

We simulate the dissipative dynamics of a mesoscopic system of long-range interacting particles which can be mapped into non-Hermitian spin models with a $\mathcal{PT}$ symmetry. We find rich $\mathcal{PT}$-phase diagrams with…

Quantum Gases · Physics 2022-08-31 José A. S. Lourenço , Gerard Higgins , Chi Zhang , Markus Hennrich , Tommaso Macrì

This work examines a discrete elastic energy system with local interactions described by a discrete second-order functional in the symmetric gradient and additional non-local random long-range interactions. We analyze the asymptotic…

Analysis of PDEs · Mathematics 2024-11-14 Patrick Dondl , Martin Heida , Simone Hermann

The paper examines a trapped one-dimensional system of multicomponent spinless fermions that interact with a zero-range two-body potential. We show that when the repulsion between particles is very large the system can be approached…

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