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Various aspects of the Haldane-Shastry spin chain with 1/r^2 exchange, and its various generalizations, are reviewed, with emphasis on its Yangian quantum group structure, and the interpretation of the model as the generalization of an…

Condensed Matter · Physics 2016-08-31 F. D. M. Haldane

The level dynamics across the many body localization transition is examined for XXZ-spin model with a random magnetic field. We compare different scenaria of parameter dependent motion in the system and consider measures such as level…

Disordered Systems and Neural Networks · Physics 2019-06-19 Artur Maksymov , Piotr Sierant , Jakub Zakrzewski

The spectral and thermodynamic response of segmented quantum spin chains is analyzed using a combination of numerical techniques and finite-size scaling arguments. Various distributions of segment lengths are considered, including the two…

Strongly Correlated Electrons · Physics 2009-10-31 Stefan Wessel , Stephan Haas

A novel approach, the fermion-spin transformation to implement the charge-spin separation, is developed to study the low-dimensional $t$-$J$ model. In this approach, the charge and spin degrees of freedom of the physical electron are…

Condensed Matter · Physics 2009-10-22 Shiping Feng , Z. B. Su , L. Yu

We study descendants of inhomogeneous vertex models with boundary reflections when the spin-spin scattering is assumed to be quasi--classical. This corresponds to consider certain power expansion of the boundary-Yang-Baxter equation (or…

Statistical Mechanics · Physics 2007-05-23 Antonio Di Lorenzo , Luigi Amico , Kazuhiro Hikami , Andreas Osterloh , Gaetano Giaquinta

A Bethe-Ansatz spin-density functional approach is developed to evaluate the ground-state density profile in a system of repulsively interacting spin-1/2 fermions inside a quasi-one-dimensional harmonic well. The approach allows for the…

Strongly Correlated Electrons · Physics 2007-05-23 S. H. Abedinpour , M. Polini , Gao Xianlong , M. P. Tosi

We study the excitation spectrum of a family of transverse-field spin chain models with variable interaction range and arbitrary spin $S$, which in the case of $S=1/2$ interpolates between the Lipkin-Meshkov-Glick and the Ising model. For…

Quantum Physics · Physics 2016-04-27 Manuel Gessner , Victor Manuel Bastidas , Tobias Brandes , Andreas Buchleitner

We develop a microscopic theory of spin relaxation of a two-dimensional electron gas in quantum wells with anisotropic electron scattering. Both precessional and collision-dominated regimes of spin dynamics are studied. It is shown that, in…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 A. V. Poshakinskiy , S. A. Tarasenko

A variational approach for constructing an effective particle description of the low-energy physics of one-dimensional quantum spin chains is presented. Based on the matrix product state formalism, we compute the one- and two-particle…

Strongly Correlated Electrons · Physics 2015-10-09 Laurens Vanderstraeten , Frank Verstraete , Jutho Haegeman

We investigate the $S=2$ antiferromagnetic quantum spin chain with the exchange and single-ion anisotropies in a magnetic field, using the numerical exact diagonalization of finite-size clusters and the level spectroscopy analysis. It is…

Strongly Correlated Electrons · Physics 2019-08-09 Tôru Sakai , Kiyomi Okamoto , Takashi Tonegawa

Recent renormalization group studies of impurities in spin-1/2 chains appear to be inconsistent with Bethe ansatz results for a special integrable model. We study this system in more detail around the integrable point in parameter space and…

Condensed Matter · Physics 2009-10-22 E. S. Sorensen , S. Eggert , I. Affleck

We investigate the entanglement content of the ground state of a system characterized by effective elementary degrees of freedom with fractional statistics. To this end, we explicitly construct the ground state for a chain of $N$ spins with…

Strongly Correlated Electrons · Physics 2015-05-14 D. Giuliano , A. Sindona , G. Falcone , F. Plastina , L. Amico

A next-to-leading order QCD analysis of spin asymmetries and structure functions in polarized deep inelastic lepton nucleon scattering is presented within the framework of the radiative parton model. A consistent NLO formulation of the…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Gluck , E. Reya , M. Stratmann , W. Vogelsang

We present new integrable models of interacting spin-1/2 chains, which can be interpreted as hard rod deformations of the XXZ Heisenberg chains. The models support multiple particle types: dynamical hard rods of length $\ell$ and particles…

Statistical Mechanics · Physics 2022-01-05 Balázs Pozsgay , Tamás Gombor , Arthur Hutsalyuk

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

We propose a generalization of the linked-cluster expansions to study driven-dissipative quantum lattice models, directly accessing the thermodynamic limit of the system. Our method leads to the evaluation of the desired extensive property…

Statistical Mechanics · Physics 2018-01-10 Alberto Biella , Jiasen Jin , Oscar Viyuela , Cristiano Ciuti , Rosario Fazio , Davide Rossini

(abbreviated) This article considers recent advances in the investigation of the thermal and magnetic properties of integrable spin ladder models and their applicability to the physics of real compounds. The ground state properties of the…

Statistical Mechanics · Physics 2009-06-20 M. T. Batchelor , X. -W. Guan , N. Oelkers , Z. Tsuboi

A two dimensional model for quantum percolation with variable tunneling range is studied. For this purpose the Lifshitz model is considered where the disorder enters the Hamiltonian via the nondiagonal elements. We employ a numerical method…

Condensed Matter · Physics 2007-05-23 M. Letz , K. Ziegler

Arising as a fluctuation phenomenon, the equilibrium distribution of meandering steps with mean separation $<\ell>$ on a "tilted" surface can be fruitfully analyzed using results from RMT. The set of step configurations in 2D can be mapped…

Statistical Mechanics · Physics 2009-11-10 T. L. Einstein

Relations between the mean values of distributions of flipped spins on periodic Heisenberg XX chain and some aspects of enumerative combinatorics are discussed. The Bethe vectors, which are the state-vectors of the model, are considered…

Mathematical Physics · Physics 2022-11-30 C. Malyshev , N. M. Bogoliubov