Report
Spectral Crossovers and Universality in Quantum Spin-chains Coupled to Random Fields
| العنوان: | Spectral Crossovers and Universality in Quantum Spin-chains Coupled to Random Fields |
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| المؤلفون: | Kundu, Debojyoti, Kumar, Santosh, Gupta, Subhra Sen |
| المصدر: | Physical Review B 105, 014205 (2022) |
| سنة النشر: | 2023 |
| المجموعة: | Condensed Matter Nonlinear Sciences |
| مصطلحات موضوعية: | Condensed Matter - Statistical Mechanics, Condensed Matter - Disordered Systems and Neural Networks, Nonlinear Sciences - Chaotic Dynamics |
| الوصف: | We study the spectral properties of and spectral-crossovers between different random matrix ensembles (Poissonian, GOE, GUE) in correlated spin-chain systems, in the presence of random magnetic fields, and the scalar spin-chirality term, competing with the usual isotropic and time-reversal invariant Heisenberg term. We have investigated these crossovers in the context of the level-spacing distribution and the level-spacing ratio distribution. We use random matrix theory (RMT) analytical results to fit the observed Poissonian-to-GOE and GOE-to-GUE crossovers, and examine the relationship between the RMT crossover parameter {\lambda} and scaled physical parameters of the spin-chain systems in terms of a scaling exponent. We find that the crossover behavior exhibits universality, in the sense that it becomes independent of lattice size in the large Hamiltonian matrix dimension limit. Comment: 18 Pages, 19 Figures (Published in Physical Review B) |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevB.105.014205 |
| URL الوصول: | http://arxiv.org/abs/2309.14076 |
| رقم الانضمام: | edsarx.2309.14076 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevB.105.014205 |
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