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The thesis examines the topics of disorder and electron-electron interactions in three distinct quantum systems. Firstly, the Anderson transition is studied for the BCC and FCC lattices. We obtain high precision results for the critical…

Disordered Systems and Neural Networks · Physics 2011-03-28 Andrea Mary Fischer

Two-dimensional materials constitute an exciting platform for nonlinear optics with large nonlinearities that are tunable by gating. Hence, gate-tunable harmonic generation and intensity-dependent refraction have been observed in e.g.…

Mesoscale and Nanoscale Physics · Physics 2019-05-15 F. Hipolito , Darko Dimitrovski , T. G. Pedersen

We demonstrate that the plasmon frequency and Drude weight of the electron liquid in a doped graphene sheet are strongly renormalized by electron-electron interactions even in the long-wavelength limit. This effect is not captured by the…

Mesoscale and Nanoscale Physics · Physics 2011-07-19 Saeed H. Abedinpour , G. Vignale , A. Principi , Marco Polini , Wang-Kong Tse , A. H. MacDonald

We develop a field-theoretic approach to massless Dirac fermions in a supercritical Coulomb potential. By introducing an Aharonov--Bohm solenoid at the potential center, the critical Coulomb charge can be made arbitrarily small for one…

Mesoscale and Nanoscale Physics · Physics 2016-08-30 Yusuke Nishida

In this study we report our numerical results on finite temperature non-interacting dynamical polarization function, plasmon modes and electron energy loss function of doped single layer gapped graphene within the random phase…

Mesoscale and Nanoscale Physics · Physics 2015-04-07 Digish K. Patel , Syed S. Z. Ashraf , Ami C. Sharma

We study the Euclidean effective action per unit area and the charge density for a Dirac field in a two--dimensional spatial region, in the presence of a uniform magnetic field perpendicular to the 2D--plane, at finite temperature and…

High Energy Physics - Theory · Physics 2008-11-26 C. G. Beneventano , Paola Giacconi , E. M. Santangelo , Roberto Soldati

We study the interplay between Dirac and Schr\"odinger fermions in the polarization properties of a two-dimensional electron gas (2DEG). Specifically, we analyze the low-energy sector of narrow-gap semiconductors described by a two-band…

Mesoscale and Nanoscale Physics · Physics 2014-02-28 Stefan Juergens , Paolo Michetti , Björn Trauzettel

We report the direct observation of polarization resolved electronic Raman scattering in a gated monolayer graphene device. The evolution of the electronic Raman scattering spectra with gate voltage and its polarization dependence are in…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 E. Riccardi , M. A. Measson , M. Cazayous , A. Sacuto , Y. Gallais

The spectrum of massless Dirac electrons on the side surface of a three-dimensional weak topological insulator is significantly affected by whether the number of unit atomic layers constituting the sample is even or odd; it has a…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Yositake Takane

We study collective plasmon excitations and screening of disordered single- and bilayer black phosphorus beyond the low energy continuum approximation. The dynamical polarizability of phosphorene is computed using a tight-binding model that…

Mesoscale and Nanoscale Physics · Physics 2015-09-30 Fengping Jin , Rafael Roldán , Mikhail I. Katsnelson , Shengjun Yuan

In a typical scenario the diagrammatic many-body perturbation theory generates asymptotic series. Despite non-convergence, the asymptotic expansions are useful when truncated to a finite number of terms. This is the reason for popularity of…

Strongly Correlated Electrons · Physics 2016-01-19 Yaroslav Pavlyukh , Jamal Berakdar , Angel Rubio

Magneto-Raman scattering experiments from the surface of graphite reveal novel features associated to purely electronic excitations which are observed in addition to phonon-mediated resonances. Graphene-like and graphite domains are…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 C. Faugeras , M. Amado , P. Kossacki , M. Orlita , M. Kühne , A. A. L. Nicolet , Yu. I. Latyshev , M. Potemski

We investigate two-dimensional Dirac fermions embedded in a deep-subwavelength cavity formed by high-impedance metasurfaces. We point out that, unlike conventional metallic boundaries, these metasurfaces support quasielectrostatic…

Strongly Correlated Electrons · Physics 2026-05-21 Yuxuan Guo , Yuto Ashida

Electron-electron interactions play a critical role in many condensed matter phenomena, and it is tempting to find a way to control them by changing the interactions' strength. One possible approach is to place a studied system in proximity…

Ab initio density functional theory (DFT) simulations were used to investigate an influence of electric field, parallel to single and multilayer graphene on its electron dispersion relations close to K point. It was shown that for both…

Materials Science · Physics 2016-11-09 Stanisław Krukowski , Jakub Sołtys , Jolanta Borysiuk , Jacek Piechota

Gauge-theory approach to describe Dirac fermions on a disclinated flexible membrane beyond the inextensional limit is formulated. The elastic membrane is considered as an embedding of 2D surface into R^3. The disclination is incorporated…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 E. A. Kochetov , V. A. Osipov , R. Pincak

Systems with substantial spin fluctuations, can internally dress the polarization function by ladder diagram of Stoner (spin-flip) excitations. This process can drastically modify the electromagnetic response. As a case study we provide…

Strongly Correlated Electrons · Physics 2018-11-08 Z. Jalali-Mola , S. A. Jafari

A planar Maxwell-Chern-Simons-Proca model endowed with a Lorentz-violating background is taken as framework to investigate the electron-electron interaction. The Dirac sector is introduced exhibiting a Yukawa and a minimal coupling with the…

High Energy Physics - Theory · Physics 2008-11-26 Manoel M. Ferreira , Marcio S. Tavares

Diffraction of light at lateral inhomogenities is a central process in the near-field studies of nanoscale phenomena, especially the propagation of surface waves. Theoretical description of this process is extremely challenging due to…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 Egor Nikulin , Denis Bandurin , Dmitry Svintsov

Optical responses of atomically thin 2D materials are greatly influenced by electron-hole interactions. It is by far established that exciton signatures can be well-identified in the optical absorption spectrum of quasi-2D materials.…

Mesoscale and Nanoscale Physics · Physics 2023-10-30 Yu-Tzu Chang , Yang-Hao Chan