A solvable model of a random spin-12 XY chain
نویسنده
چکیده
The paper presents exact calculations of thermodynamic quantities for the spin2 isotropic XY chain with random lorentzian intersite interaction and transverse field that depends linearly on the surrounding intersite interactions. PACS codes: 75.10.-b
منابع مشابه
Introduction to the Mathematics of the XY -Spin Chain
In the following we present an introduction to the mathematical theory of the XY spin chain. The importance of this model lies in the fact, first understood by Lieb, Schultz and Mattis in [4], that the XY spin chain is one of very few “exactly solvable” models in the theory of quantum many-body systems. Lieb, Schultz and Mattis considered the constant coefficient case. In the variable coefficie...
متن کاملDynamic Correlations in a Random Spin-1/2 XY Chain
We examine dynamic quantities of a random spin-1/2 isotropic XY chain in a transverse field. The randomness is related to the sign of the nearest-neighbor exchange interaction and can be eliminated by a suitable transformation. As a result, the dynamic quantities for the random spin chain are related to the same dynamic quantities for the homogeneous spin chain. We use the available results for...
متن کاملThe Fisher-Hartwig Formula and Generalized Entropies in XY Spin Chain
Toeplitz matrices have applications to different problems of statistical mechanics. Recently it was used for calculation of entanglement entropy in exactly solvable models including spin chains. We use Fisher-Hartwig formula to calculate entanglement entropy [as well as Rényi entropy] of large block of spins in the ground state of XY spin chain. In the end of the paper we announce our recent re...
متن کاملExactly solvable spin chain models corresponding to BDI class of topological superconductors
We present an exactly solvable extension of the quantum XY chain with longer range multi-spin interactions. Topological phase transitions of the model are classified in terms of the number of Majorana zero modes, nM which are in turn related to an integer winding number, nW. The present class of exactly solvable models belong to the BDI class in the Altland-Zirnbauer classification of topologic...
متن کاملOne Variation on Lloyd's Theme
One random spin2 XY chain that after Jordan-Wigner fermionization reduces to the extended Lloyd’s model is considered. The random-averaged one-fermion Green functions have been calculated exactly that yields thermodynamics of the spin model. PACS codes: 75.10.-b
متن کامل