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103 papers · 1 filter
Localization and Flat Bands in Bond-Inflated Lattices
Richard Berkovits
We study localization and flat-band formation in lattices generated by repeated bond inflation of square, honeycomb, and triangular parent lattices. Replacing each bond by a finite…
Unfolding a composed ensemble of energy spectra using singular value decomposition
Richard Berkovits
In comparing the behavior of an energy spectrum to the predictions of random matrix theory one must transform the spectrum such that the averaged level spacing is constant, a proce…
Pair correlation function based on Voronoi topology
Vasco M. Worlitzer, Gil Ariel, Emanuel A. Lazar
The pair correlation function (PCF) has proven an effective tool for analyzing many physical systems due to its simplicity and its applicability to simulated and experimental data.…
Sachdev-Ye-Kitaev model: Non-self-averaging properties of the energy spectrum
Richard Berkovits
The short time (large energy) behavior of the Sachdev-Ye-Kitaev model (SYK) is one of the main motivation to the growing interest garnered by this model. True chaotic behaviour set…
Diagnostics of nonergodic extended states and many body localization proximity effect through real-space and Fock-space excitations
Nilanjan Roy, Jagannath Sutradhar, Sumilan Banerjee
We provide real-space and Fock-space (FS) characterizations of ergodic, nonergodic extended (NEE) and many-body localized (MBL) phases in an interacting quasiperiodic system, namel…
Fractal fluctuations at mixed-order transitions in interdependent networks
Bnaya Gross, Ivan Bonamassa, Shlomo Havlin
We study the geometrical features of the order parameter's fluctuations near the critical point of mixed-order phase transitions in randomly interdependent spatial networks. In con…