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Opening of a gap in the low-energy excitations spectrum affects the power-law singularity in the photon absorption spectrum $A(\Omega)$. In the normal state, the singularity, $A(\Omega)\propto [D/(\Omega-\Omega_{\rm th})]^\alpha$, is…

Mesoscale and Nanoscale Physics · Physics 2009-12-16 V. V. Mkhitaryan , E. G. Mishchenko , M. E. Raikh , L. I. Glazman

Fermi-edge absorption theory predicting the spectrum, A(\omega)\propto \omega^{-2\delta_0/\pi+\delta^2_0/\pi^2}, relies on the assumption that scattering phase, \delta_0, is frequency-independent. Dependence of \delta_0 on \omega becomes…

Mesoscale and Nanoscale Physics · Physics 2011-05-25 V. V. Mkhitaryan , M. E. Raikh

We study the response of the interacting electron gas in one dimension on the local external potential. In the low frequency limit the power-law singularities are essentially modifyed by backscattering effects which, in the case of zero…

Condensed Matter · Physics 2009-10-22 N. V. Prokof'ev

We study Fermi edge singularities in photo-absorption spectra of generic mesoscopic systems such as quantum dots or nanoparticles. We predict deviations from macroscopic-metallic behavior and propose experimental setups for the observation…

Mesoscale and Nanoscale Physics · Physics 2009-08-12 M. Hentschel , D. Ullmo , H. U. Baranger

We study the absorption spectrum of a two-dimensional electron gas (2DEG) in a magnetic field. We find that that at low temperatures, when the 2DEG is spin polarized, the absorption spectra, which correspond to the creation of spin up or…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 P. Plochocka-Polack , J. G. Groshaus , M. Rappaport , V. Umansky , Y. Gallais , A. Pinczuk , I. Bar-Joseph

We theoretically investigate the Fermi edge singularity in a spin incoherent Luttinger liquid. Both cases of finite and infinite core hole mass are explored, as well as the effect of a static external magnetic field of arbitrary strength.…

Strongly Correlated Electrons · Physics 2007-05-23 Gregory A. Fiete

We discuss Fermi-edge singularity effects on the linear and nonlinear transient response of an electron gas in a doped semiconductor. We use a bosonization scheme to describe the low energy excitations, which allows to compute the time and…

Mesoscale and Nanoscale Physics · Physics 2007-10-30 D. Porras , J. Fernandez-Rossier , C. Tejedor

The problem of the Fermi--edge singularity in a one--dimensional Tomonaga--Luttinger liquid is reconsidered. The backward scattering of the conduction band electrons on the impurity--like hole in the valence band is analyzed by mapping the…

Condensed Matter · Physics 2009-10-28 Yuval Oreg , Alexander M. Finkel'stein

The absorption and emission spectra of transitions between a localized level and a two-dimensional electron gas, subjected to a weak magnetic field, are calculated analytically. Adopting the Landau level bosonization technique developed in…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 H. Westfahl , A. O. Caldeira , D. Baeriswyl , E. Miranda

We present a theoretical study on polaritons in highly doped semiconductor microcavities. In particular, we focus on a cavity mode that is resonant with the absorption threshold (`Fermi edge'). In agreement with experimental results, the…

Quantum Gases · Physics 2013-01-18 Maarten Baeten , Michiel Wouters

We study spatial correlations in the ground state of a one-dimensional electron gas coupled to a dynamic quantum impurity. The system displays a non-trivial many-body effect known as the Fermi edge singularity: transitions between discrete…

Strongly Correlated Electrons · Physics 2013-08-28 I. Snyman

We studied formation of charge density wave between valleys in a system with a double-well-like dispersive valence band relevant for the rhombohedral graphene trilayer. In a regime with 2 Fermi surfaces, electron- and hole-like: one of…

Strongly Correlated Electrons · Physics 2025-09-16 Igor V. Blinov

The X-ray edge problem of graphene with the Dirac fermion spectrum is studied. At half-filling the linear density of states suppresses the singular response of the Fermi liquid, while away from half-filling the singular features of the…

Strongly Correlated Electrons · Physics 2009-11-13 S. -R. Eric Yang , Hyun C. Lee

We use the one-dimensional object-oriented particle-in-cell Monte Carlo collision code oopd1 to explore the properties and the origins of both the electric field and electron power absorption within the plasma bulk for a capacitively…

Plasma Physics · Physics 2021-02-08 A. Proto , J. T. Gudmundsson

We discuss the problem of the X-ray absorption in a system of interacting fermions and, in particular, those features in the X-ray spectra that can be used to discriminate between conventional Fermi-liquids and novel "strange metals".…

Condensed Matter · Physics 2016-08-31 D. V. Khveshchenko , P. W. Anderson

Recent experiments measuring the emission of exciton recombination in a self-organized single quantum dot (QD) have revealed that novel effects occur when the wetting layer surrounding the QD becomes filled with electrons, because the…

Strongly Correlated Electrons · Physics 2007-05-23 R. W. Helmes , M. Sindel , L. Borda , J. von Delft

We study the photoabsorption cross section and Fermi-edge singularities (FES) in graphene. For fillings below one half, we find, besides the expected FES in form of a peaked edge at the threshold (Fermi) energy, a second singularity to…

Mesoscale and Nanoscale Physics · Physics 2011-06-07 Georg Roeder , Grigory Tkachov , Martina Hentschel

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

Effects of the backward scattering with large momentum transfer are examined in two-dimensional electron system with a special emphasis on electrons around ($\pi$,0), (0,$\pi$). The phase diagram is shown in the plane of temperature $T$ and…

Strongly Correlated Electrons · Physics 2009-10-30 Masakazu Murakami , Hidetoshi Fukuyama

The boundary conformal field theory approach to quantum impurity problems is used to study the Fermi edge singularity, occuring in the X-ray adsorption probablility. The deep-hole creation operator, in the effective low-energy theory,…

Condensed Matter · Physics 2009-10-22 Ian Affleck , Andreas W. W. Ludwig
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