2001/03/01 by Antonio M. Garcı́a-Garcı́a, Antonio M. Garcia-Garcia · 2 citations
Chemistry · Physics and Astronomy · #Molecular spectroscopy and chirality #Quantum chaos and dynamical systems #Spectroscopy and Quantum Chemical Studies #cond-mat.dis-nn
paper · pdf · doi:10.1103/physreve.64.066121
published as Phys. Rev. E 64, 066121 (2001) · 12 pages, 3 figures
arxiv created 2001/03/01 · openalex publication_date 2001/11/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider a generalized chiral Gaussian Unitary ensemble (chGUE) based on a weak confining potential. We study the spectral correlations close to the origin in the thermodynamic limit. We show that for eigenvalues separated up to the mean level spacing, the spectral correlations coincide with those of chGUE. Beyond this point, the spectrum is described by an oscillating number variance centered around a constant value. We argue that the origin of such a rigid spectrum is due to the breakdown of the translational invariance of the spectral kernel in the bulk of the spectrum. Finally, we compare our results with the ones obtained from a critical chGUE recently reported in the literature. We conclude that our generalized chGUE does not belong to the same class of universality as the above mentioned model.