arXiv Open Access 2023

Spectral Crossovers and Universality in Quantum Spin-chains Coupled to Random Fields

Debojyoti Kundu Santosh Kumar Subhra Sen Gupta

Lihat Sumber

Abstrak

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 λ 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.

Topik & Kata Kunci

cond-mat.stat-mech cond-mat.dis-nn nlin.CD

Penulis (3)

Debojyoti Kundu

Santosh Kumar

Subhra Sen Gupta

Format Sitasi

APA MLA BibTeX

Kundu, D., Kumar, S., Gupta, S.S. (2023). Spectral Crossovers and Universality in Quantum Spin-chains Coupled to Random Fields. https://arxiv.org/abs/2309.14076

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓