Isolated zeros in the spectral function as signature of a quantum continuum

Nikolay Gnezdilov, Alexander Krikun, Koenraad Schalm, and Jan Zaanen

Phys. Rev. B 99, 165149 – Published 30 April 2019

Abstract

We study the observable properties of quantum systems which involve a quantum continuum as a subpart. We show in a very general way that in any system, which consists of at least two isolated states coupled to a continuum, the spectral function of one of the states exhibits an isolated zero at the energy of the other state. Several examples of quantum systems exhibiting such isolated zeros are discussed. Although very general, this phenomenon can be particularly useful as an indirect detection tool for the continuum spectrum in the laboratory realizations of quantum critical behavior.

Received 31 October 2018
Revised 16 April 2019

DOI:https://doi.org/10.1103/PhysRevB.99.165149

Physics Subject Headings (PhySH)

Gauge-gravity dualities Local density of states Quantum criticality

Quantum dots Strongly correlated systems

Non-Fermi-liquid theory Sachdev-Ye-Kitaev model

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Nikolay Gnezdilov¹, Alexander Krikun¹, Koenraad Schalm¹, and Jan Zaanen^1,2

¹Instituut-Lorentz, ΔITP, Universiteit Leiden, P.O. Box 9506, 2300 RA Leiden, The Netherlands
²Department of Physics, Stanford University, Stanford, California 94305, USA

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Issue

Vol. 99, Iss. 16 — 15 April 2019

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