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We investigate the anisotropic integrable spin chain consisting of spins $s={1/2}$ and $s=1$ by means of thermodynamic Bethe ansatz for the anisotropy $\gamma>\pi/3$, where the analysis of the Takahashi conditions leads to a more…

High Energy Physics - Theory · Physics 2008-11-26 B. -D. Doerfel , St. Meissner

We construct a mixed spin 1/2 and $S$ integrable model and investigate its finite size properties. For a certain conformal invariant mixed spin system the central charge can be decomposed in terms of the conformal anomaly of two single…

Statistical Mechanics · Physics 2009-10-30 S. R. Aladim , M. J. Martins

In this paper we continue the investigation of an anisotropic integrable spin chain, consisting of spins $s=1$ and $s=\frac{1}{2}$, started in our paper \cite{meissner}. The thermodynamic Bethe ansatz is analysed especially for the case,…

High Energy Physics - Theory · Physics 2008-11-26 B. -D. Doerfel , St. Meissner

Finite-Size-Scaling and Conformal Invariance are used in order to find the phase diagram and critical exponents of a quantum spin chain with spin $S=3/2$. The model has a tetracritical point besides critical lines. The conformal anomaly and…

Condensed Matter · Physics 2007-05-23 A. Malvezzi

Using the density-matrix renormalization-group, we investigate the critical behavior of the anisotropic Heisenberg chains with spins up to $S=9/2$. We show that through the relations arising from the conformal invariance and the DMRG…

Strongly Correlated Electrons · Physics 2015-05-18 J. C. Xavier

We study an integrable spin chain with an alternating array of spins S=1/2, 1 in external magnetic fields using the Bethe ansatz exact solution. The calculated magnetization possesses a cusp structure at a critical magnetic field H=H_{C},…

Statistical Mechanics · Physics 2016-08-31 Mitsuru Fujii , Satoshi Fujimoto , Norio Kawakami

An anisotropic integrable spin chain, consisting of spins $s=1$ and $s=\frac{1}{2}$, is investigated \cite{devega}. It is characterized by two real parameters $\bar{c}$ and $\tilde{c}$, the coupling constants of the spin interactions. For…

High Energy Physics - Theory · Physics 2014-11-18 St. Meissner , B. -D. Doerfel

We analyze the finite size corrections to entanglement in quantum critical systems. By using conformal symmetry and density functional theory, we discuss the structure of the finite size contributions to a general measure of ground state…

Quantum Physics · Physics 2009-11-13 F. C. Alcaraz , M. S. Sarandy

We consider strips of Ising spins at criticality. For strips of width $N$ sites, subdominant (additive) finite-size corrections to scaling are assumed to be of the form $a_k/N^k$ for the free energy, and $b_k/N^k$ for inverse correlation…

Statistical Mechanics · Physics 2011-09-07 S. L. A. de Queiroz

We study the finite size scaling of the spin stiffness for the one-dimensional s=1/2 quantum antiferromagnet as a function of the anisotropy parameter Delta.Previous Bethe ansatz results allow a determination of the stiffness in the…

Strongly Correlated Electrons · Physics 2017-01-31 Nicolas Laflorencie , Sylvain Capponi , Erik S. Sorensen

We study the (analytic) finite-size corrections in the Ising model on the strip with fixed ($+ -$) boundary conditions. We find that subdominant finite-size corrections to scaling should be to the form $a_k/N^{2k-1}$ for the free energy…

Statistical Mechanics · Physics 2015-05-30 N. Sh. Izmailian

We consider conformal field theories with slightly broken higher spin symmetry in arbitrary spacetime dimensions. We analyze the crossing equation in the double light-cone limit and solve for the anomalous dimensions of higher spin currents…

High Energy Physics - Theory · Physics 2016-07-20 Luis F. Alday , Alexander Zhiboedov

This paper is concerned with the investigation of the massless regime of an integrable spin chain based on the quantum group deformation of the $OSp(3|2)$ superalgebra. The finite-size properties of the eigenspectra are computed by solving…

Statistical Mechanics · Physics 2019-07-25 Holger Frahm , Konstantin Hobuß , Márcio J. Martins

We identify the leading corrections to Finite-Size Scaling relations for the correlation length and twist order parameter of three mixed-spin quantum spin chains for the critical feature that develops at, $\theta=\pi$, corresponding to a…

Strongly Correlated Electrons · Physics 2007-05-23 R. Bischof , P. R. Crompton

We study the rectification of spin current in $XXZ$ chains segmented in two parts, each with a different anisotropy parameter. Using exact diagonalization and a matrix product states algorithm we find that a large rectification (of the…

Statistical Mechanics · Physics 2018-05-23 Vinitha Balachandran , Giuliano Benenti , Emmanuel Pereira , Giulio Casati , Dario Poletti

We study the finite size corrections to the free energy density in disorder spin systems on sparse random graphs, using both replica theory and cavity method. We derive an analytical expressions for the $O(1/N)$ corrections in the replica…

Disordered Systems and Neural Networks · Physics 2013-12-04 Ulisse Ferrari , Carlo Lucibello , Flaviano Morone , Giorgio Parisi , Federico Ricci-Tersenghi , Tommaso Rizzo

In Phys. Rev. Lett. 120, 200603 (2018), a segmented XXZ spin chain with zero anisotropy in one half and a large anisotropy on the other half gave rise to a spin current rectification which is perfect in the thermodynamic limit. Here we…

Statistical Mechanics · Physics 2021-06-02 Kang Hao Lee , Vinitha Balachandran , Dario Poletti

Corrections to the asymptotic correlation function in a Heisenberg spin-1/2 antiferromagnetic spin chain are known to vanish slowly (logarithmically) as a function of the distance r or the chain size L. This leads to significant differences…

Strongly Correlated Electrons · Physics 2009-10-31 Victor Barzykin , Ian Affleck

Exact results of a mixed spin-1/2 and spin-1 Ising-Heisenberg diamond chain are obtained applying a generalized decoration-iteration transformation. Depending on the values of external field, exchange parameters and anisotropy, there exist…

Statistical Mechanics · Physics 2015-06-24 Michal Jascur , Jozef Strecka

Finite-size corrections to scaling of critical correlation lengths and free energies of Ising and three-state Potts ferromagnets are analysed by numerical methods, on strips of width $N$ sites of square, triangular and honeycomb lattices.…

Statistical Mechanics · Physics 2009-10-31 S L A de Queiroz
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