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We study the effect of impurities in superconducting graphene and discuss their influence on the local electronic properties. In particular, we consider the case of magnetic and non-magnetic impurities being either strongly localized or…

Mesoscale and Nanoscale Physics · Physics 2008-09-17 T. O. Wehling , H. P. Dahal , A. I. Lichtenstein , A. V. Balatsky

There is an increasing amount of literature concerning electronic properties of graphene close to the neutrality point. Many experiments continue using the two-probe geometry or invasive contacts or do not control samples' macroscopic…

Mesoscale and Nanoscale Physics · Physics 2010-08-27 P. Blake , R. Yang , S. V. Morozov , F. Schedin , L. A. Ponomarenko , A. A. Zhukov , I. V. Grigorieva , K. S. Novoselov , A. K. Geim

Pristine monolayer graphene exhibits very poor screening because the density of states vanishes at the Dirac point. As a result, charge relaxation is controlled by the effects of zero-point motion (rather than by the Coulomb interaction)…

Mesoscale and Nanoscale Physics · Physics 2017-01-25 Eugene B. Kolomeisky , Joseph P. Straley

We investigate the thermal conductivity of suspended graphene as a function of the density of defects, ND, introduced in a controllable way. Graphene layers are synthesized using chemical vapor deposition, transferred onto a transmission…

We consider the effects of impurities on topological insulators and superconductors. We start by identifying the general conditions under which the eigenenergies of an arbitrary Hamiltonian H belonging to one of the Altland-Zirnbauer…

Mesoscale and Nanoscale Physics · Physics 2016-01-27 Lukas Kimme , Timo Hyart

In the context of Einstein gravity, if the null energy condition (NEC) is satisfied, the energy density in expanding space-times always decreases while in contracting space-times the energy density grows and the universe eventually…

General Relativity and Quantum Cosmology · Physics 2016-07-04 Anna Ijjas , Justin Ripley , Paul J. Steinhardt

We address the problem of an unscreened Coulomb charge in graphene, and calculate the local density of states and displaced charge as a function of energy and distance from the impurity. This is done non-perturbatively in two different…

Strongly Correlated Electrons · Physics 2007-10-17 Vitor M. Pereira , Johan Nilsson , A. H. Castro Neto

Theoretical calculations, based on hybrid exchange density functional theory, are used to show that in graphene a periodic array of defects generates a ferromagnetic ground state at room temperature for unexpectedly large defect…

Materials Science · Physics 2009-11-13 L. Pisani , B. Montanari , N. M. Harrison

The magnetic field $B$ dependence of the critical current $I_c$ for the vortex phase of a disordered superconductor is studied numerically at zero temperature. The $I_{c}(B)$ increases rapidly near the upper critical field $B_{c2}$ similar…

Superconductivity · Physics 2009-11-10 Mahesh Chandran

We demonstrate that the phenomenon known as Spontaneous Parametric Down Conversion is really an amplification, in a nonlinear crystal pumped by a laser, of certain pairs of modes of the electromagnetic zeropoint field. The demonstration is…

Quantum Physics · Physics 2007-05-23 Trevor W. Marshall

Thermoelectric effects in graphene are considered theoretically with particular attention paid to the role of impurities. Using the T -matrix method we calculate the impurity resonant states and the momentum relaxation time due to…

Mesoscale and Nanoscale Physics · Physics 2019-07-11 M. Inglot , A. Dyrdał , V. K. Dugaev , J. Barnaś

Intrinsic bilayer graphene is a gapless semimetal. Under the application of a bias field it becomes a semiconductor with a direct band gap that is proportional to the applied field. Under a layer-asymmetric strain (where the upper layer…

Mesoscale and Nanoscale Physics · Physics 2014-12-04 J. A. Crosse

This work analyses how impurities and vacancies on the surface of a graphene sample affect its optical conductivity and plasmon excitations. The disorder is analysed in the self-consistent Green's function formulation and nonlocal effects…

Mesoscale and Nanoscale Physics · Physics 2018-02-28 Giovanni Viola , Tobias Wenger , Jari Kinaret , Mikael Fogelström

A criterion to determine the existence of zero-energy edge states is discussed for a class of particle-hole symmetric Hamiltonians. A ``loop'' in a parameter space is assigned for each one-dimensional bulk Hamiltonian, and its topological…

Superconductivity · Physics 2009-11-07 Shinsei Ryu , Yasuhiro Hatsugai

The low energy spectrum of a zigzag graphene ribbon contains two gapless bands with highly non-linear dispersion, $\epsilon(k)=\pm |\pi-k|^W$, where $W$ is the width of the ribbon. The corresponding states are located at the two opposite…

Disordered Systems and Neural Networks · Physics 2022-11-23 Saumitran Kasturirangan , Alex Kamenev , Fiona J. Burnell

Transport measurements have revealed several exotic electronic properties of graphene. The possibility to influence the electronic structure and hence control the conductivity by adsorption or doping with adatoms is crucial in view of…

The fate of the charge-neutral Dirac point in graphene in a high magnetic field $H$ has been investigated at low temperatures ($T\sim$ 0.3 K). In samples with small $V_0$ (the gate voltage needed to access the Dirac point), the resistance…

Mesoscale and Nanoscale Physics · Physics 2008-05-21 Joseph G. Checkelsky , Lu Li , N. P. Ong

It is well known that amorphous solids display a phonon spectrum where the Debye $\sim \omega^2$ law at low frequency melds into an anomalous excess-mode peak (the boson peak) before entering a quasi-localized regime at higher frequencies…

Disordered Systems and Neural Networks · Physics 2016-03-22 R. Milkus , A. Zaccone

The absence of localization of impurity-induced low-energy quasiparticle states in a two-dimensional $d$-wave superconductor is argued for any amount of disorder in the limit of unitary scatterers. This surprising result follows from the…

Condensed Matter · Physics 2009-10-28 A. V. Balatsky , M. I. Salkola

The effect of a randomly fluctuating gap, created by a random staggered potential, is studied in a monolayer and a bilayer of graphene. The density of states, the one-particle scattering rate and transport properties (diffusion coefficient…

Mesoscale and Nanoscale Physics · Physics 2009-03-24 K. Ziegler