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Related papers: Edge universality in Floquet sideband spectra

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We consider unitary invariant random matrix ensembles which obey spectral statistics different from the Wigner-Dyson, including unitary ensembles with slowly (~(log x)^2) growing potentials and the finite-temperature fermi gas model. If the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Shinsuke M. Nishigaki

We analyze determinants associated with Bessel kernels and generic symbol functions, which govern a class of observables across all values of the 't Hooft coupling in supersymmetric gauge theories. Previous approaches, based on…

High Energy Physics - Theory · Physics 2025-09-25 Zoltan Bajnok , Bercel Boldis , Dennis le Plat

We discuss the circularly polarized light (of amplitude $A_0$ and frequency $\omega$) driven thermo-electric transport properties of type-I and type-II multi-Weyl semimetals (mWSMs) in the high frequency limit. Considering the low energy…

Mesoscale and Nanoscale Physics · Physics 2020-07-15 Tanay Nag , Anirudha Menon , Banasri Basu

We consider a family of chiral non-Hermitian Gaussian random matrices in the unitarily invariant symmetry class. The eigenvalue distribution in this model is expressed in terms of Laguerre polynomials in the complex plane. These are…

Mathematical Physics · Physics 2010-12-01 Gernot Akemann , Martin Bender

We study the manifestation of the non-perturbative effects of interaction in sequential tunnelling between a quasi-one dimensional system of chiral quantum Hall edge channels and a multilevel quantum dot (QD). We use the formal scattering…

Mesoscale and Nanoscale Physics · Physics 2017-04-19 A. S. Goremykina , E. V. Sukhorukov

We survey the current status of universality limits for $m$-point correlation functions in the bulk and at the edge for unitary ensembles, primarily when the limiting kernels are Airy, Bessel, or Sine kernels. In particular, we consider…

Classical Analysis and ODEs · Mathematics 2016-08-11 Doron S. Lubinsky

We theoretically study a charge qubit interacting with electrons in a semi-infinite 1D wire. The system displays the physics of the Fermi edge singularity. Our results generalize known results for the Fermi-edge system to the regime where…

Strongly Correlated Electrons · Physics 2013-02-25 A. Sheikhan , I. Snyman

Recently, non-reciprocal two-dimensional unitary scattering networks have gained considerable interest due to the possibility of obtaining robust edge wave propagation in the anomalous Floquet phase. Conversely, zero-dimensional topological…

Mesoscale and Nanoscale Physics · Physics 2023-04-07 Haoye Qin , Zhe Zhang , Qiaolu Chen , Romain Fleury

In a uniform microresonator, the generation of a broadband Kerr frequency comb is triggered by Turing patterns. Here, we study a distinctly different route to initiate the Kerr frequency comb by Faraday ripples. Momentum conservation is…

Optics · Physics 2016-10-24 Shu-Wei Huang

Engineering dissipative dynamics in open quantum systems is under active focus, especially in topological settings where resilient edge modes are expected to exhibit decay rates distinct from the bulk. In this letter, we propose an…

Mesoscale and Nanoscale Physics · Physics 2025-12-01 Koustav Roy , Shahroze Shahab , Saurabh Basu

We propose to Floquet-engineer Dirac cones at the surface of a three-dimensional topological insulator. We show that a large tunability of the Fermi velocity can be achieved as a function of the polarization, direction and amplitude of the…

Mesoscale and Nanoscale Physics · Physics 2019-08-14 A. Diaz-Fernandez , E. Diaz , Álvaro Gómez-León , Gloria Platero , F. Domínguez-Adame

In Random Matrix Theory the local correlations of the Laguerre and Jacobi Unitary Ensemble in the hard edge scaling limit can be described in terms of the Bessel kernel (containing a parameter $\alpha$). In particular, the so-called hard…

Functional Analysis · Mathematics 2010-01-15 Torsten Ehrhardt

Extra-large apertures, high carrier frequencies, and integrated sensing and communications (ISAC) are pushing array processing into the Fresnel region, where spherical wavefronts induce a range-dependent phase across the aperture. This…

Signal Processing · Electrical Eng. & Systems 2026-02-17 Sajad Daei , Gábor Fodor , Mikael Skoglund

We study the x-ray edge problem for a chaotic quantum dot or nanoparticle displaying mesoscopic fluctuations. In the bulk, x-ray physics is known to produce deviations from the naively expected photoabsorption cross section in the form of a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Martina Hentschel , Denis Ullmo , Harold U. Baranger

One-dimensional Floquet topological superconductors possess two types of degenerate Majorana edge modes at zero and $\pi$ quasieneriges, leaving more room for the design of boundary time crystals and quantum computing schemes than their…

Mesoscale and Nanoscale Physics · Physics 2023-09-06 Hailing Wu , Shenlin Wu , Longwen Zhou

We consider the optical conductivity of a clean two-dimensional metal near a quantum spin-density-wave transition. Critical magnetic fluctuations are known to destroy fermionic coherence at "hot spots" of the Fermi surface but coherent…

Strongly Correlated Electrons · Physics 2015-06-18 Andrey V. Chubukov , Dmitrii L. Maslov , Vladimir I. Yudson

We show that for graphene with any finite difference in the on-site energy between the two sub-lattices ($\Delta$), The optical absorption edge is determined by the $\Delta$. The universal conductance will be broken and the conductance near…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Lei Chen , Zhongshui Ma , C. Zhang

A Gelfand-Tsetlin scheme of depth N is a triangular array with m integers at level m, m=1,...,N, subject to certain interlacing constraints. We study the ensemble of uniformly random Gelfand-Tsetlin schemes with arbitrary fixed N-th row. We…

Probability · Mathematics 2013-05-29 Leonid Petrov

In modern condensed matter theory, phases of electronic matter--such as metals and insulators-are fundamentally distinguished by the presence or absence of charge-carrying quasiparticles or excitations near the Fermi surface at low…

Mesoscale and Nanoscale Physics · Physics 2026-04-30 Xian-Peng Zhang , Yan-Qing Feng , Ji-Feng Shao , Haiwen Liu , Yugui Yao

The possibility of attaining chiral edge modes under periodic driving has spurred tremendous attention, both theoretically and experimentally, especially in light of anomalous Floquet topological phases that feature vanishing Chern numbers…

Quantum Gases · Physics 2024-01-04 Miguel F. Martínez , F. Nur Ünal
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