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Mesoscopic Josephson effect in graphene disk at magnetic field
Adam Rycerz
Unlike for tunneling Josephson junctions, for which the current-phase relation is given by the sine function, with the critical current () and normal-state resistance ()…
Josephson effect in graphene Corbino disks
Adam Rycerz
Peculiar features of the Josephson effect in graphene were described theoretically by Titov and Beenakker [Phys. Rev. B 74, 041401(R) (2006)], who solved the Dirac-Bogoliubov-de-Ge…
Sub-Sharvin conductance and Josephson effect in graphene
Adam Rycerz
Titov and Beenakker [Phys. Rev. B 74, 041401(R) (2006)] found, by solving the Dirac-Bogoliubov-De-Gennes equation, that the product of critical current and normal-state resistance…
Quantum transport of Dirac fermions in selected graphene nanosystems away from the charge-neutrality point
Adam Rycerz
Peculiar electronic properties of graphene, including the universal dc conductivity and the pseudodiffusive shot noise, are usually attributed to a small vicinity of the charge-neu…
Sub-Sharvin conductance and incoherent shot-noise in graphene disks at magnetic field
Adam Rycerz, Katarzyna Rycerz, Piotr Witkowski
Highly-doped graphene samples show the conductance reduced and the shot-noise power enhanced compared to standard ballistic systems in two-dimensional electron gas. These features…
Strain-induced Aharonov-Bohm effect at nanoscale and ground state of a carbon nanotube with zigzag edges
Adam Rycerz, Maciej Fidrysiak, Danuta Goc-Jagło
Magnetic flux piercing a carbon nanotube induce periodic gap oscillations which represent the Aharonov-Bohm effect at nanoscale. Here we point out, by analyzing numerically the ani…
Thermoelectric properties of the Corbino disk in graphene
Adam Rycerz, Katarzyna Rycerz, Piotr Witkowski
Thermopower and the Lorentz number for an edge-free (Corbino) graphene disk in the quantum Hall regime is calculated within the Landauer-Büttiker formalism. We find, by varying the…
Theory of the sub-Sharvin charge transport in graphene disks
Adam Rycerz, Piotr Witkowski
Ballistic graphene samples in a multimode regime show the sub-Sharvin charge transport, characterized by the conductance reduced by a factor of comparing to standard Sharvin…
Sub-Sharvin conductance and enhanced shot noise in doped graphene
Adam Rycerz, Piotr Witkowski
Ideal Sharvin contact in a multimode regime shows the conductance (with the conductance quantum, the Fermi momentum, and the…
Wiedemann-Franz law for massless Dirac fermions with implications for graphene
Adam Rycerz
In the 2016 experiment by Crossno et al. [Science 351, 1058 (2016)], electronic contribution to the thermal conductivity of graphene was found to violate the well-known Wiedemann-F…
Adiabatic pumping driven by moving kink and quantum standard ampere in buckled graphene nanoribbon
Dominik Suszalski, Adam Rycerz
A quantum pump in buckled graphene ribbon with armchair edges is discussed numerically. By solving the Su-Schrieffer-Heeger model and performing the computer simulation of quantum…
Graphene disk in a solenoid magnetic potential: Aharonov-Bohm effect without a two-slit-like setup
Adam Rycerz, Dominik Suszalski
The Aharonov-Bohm effect allows one to demonstrate the physical meaningfulness of magnetic vector potential by passing the current in zero magnetic field regions. In the standard (…
Adiabatic quantum pumping in buckled graphene nanoribbon driven by a kink
Dominik Suszalski, Adam Rycerz
We propose a new type of quantum pump in buckled graphene nanoribbon, adiabatically driven by a kink moving along the ribbon. From a practical point of view, pumps with moving scat…
Conductivity scaling and the effects of symmetry-breaking terms in bilayer graphene Hamiltonian
Dominik Suszalski, Grzegorz Rut, Adam Rycerz
We study the ballistic conductivity of bilayer graphene in the presence of symmetry-breaking terms in effective Hamiltonian for low-energy excitations, such as the trigonal-warping…
Mesoscopic valley filter in graphene Corbino disk containing a p-n junction
Dominik Suszalski, Grzegorz Rut, Adam Rycerz
The Corbino geometry allows one to investigate the propagation of electric current along a p-n interface in ballistic graphene in the absence of edge states appearing for the famil…
Thermoelectric properties of gapped bilayer graphene
Dominik Suszalski, Grzegorz Rut, Adam Rycerz
Unlike in conventional semiconductors, both the chemical potential and the band gap in bilayer graphene (BLG) can be tuned via application of external electric field. Among numerou…
Lifshitz transition and thermoelectric properties of bilayer graphene
Dominik Suszalski, Grzegorz Rut, Adam Rycerz
This is a numerical study of thermoelectric properties of ballistic bilayer graphene in the presence of trigonal warping term in the effective Hamiltonian. We find, in the mesoscop…
Nonstandard transition GUE-GOE for random matrices and spectral statistics of graphene nanoflakes
Adam Rycerz
Spectral statistics of weakly-disordered triangular graphene flakes with zigzag edges are revisited. Earlier, we have found numerically that such systems may shown spectral fluctua…
Trigonal warping, pseudodiffusive transport, and finite-system version of the Lifshitz transition in magnetoconductance of bilayer-graphene Corbino disks
Grzegorz Rut, Adam Rycerz
Using the transfer matrix in the angular-momentum space we investigate the impact of trigonal warping on magnetotransport and scaling properties of a ballistic bilayer graphene in…
Minimal conductivity and signatures of quantum criticality in ballistic graphene bilayer
Grzegorz Rut, Adam Rycerz
We study the ballistic conductivity of graphene bilayer in the presence of next-nearest neighbor hoppings between the layers. An undoped and unbiased system was found in Ref. [1] t…
Magnetoconductance of the Corbino disk in graphene: Chiral tunneling and quantum interference in the bilayer case
Grzegorz Rut, Adam Rycerz
Quantum transport through an impurity-free Corbino disk in bilayer graphene is investigated analytically, by the mode-matching method for effective Dirac equation, in the presence…
Quantum-limited shot noise and quantum interference in graphene based Corbino disk
Grzegorz Rut, Adam Rycerz
This is a theoretical study of finite voltage effects on the conductance, the shot noise power, and the third charge-transfer cumulant for graphene-based Corbino disk in the presen…
Conditions for Conductance Quantization in Mesoscopic Dirac Systems on the Examples of Graphene Nanoconstrictions
Grzegorz Rut, Adam Rycerz
Ballistic transport through an impurity-free section of the Corbino disk in graphene is investigated by means of the Landauer-Büttiker formalism in the mesoscopic limit. In the lin…
Pseudodiffusive conductance, quantum-limited shot noise, and Landau-level hierarchy in biased graphene bilayer
Grzegorz Rut, Adam Rycerz
We discuss, by means of mode-matching analysis for the Dirac equation, how splittings of the Landau-level (LL) degeneracies associated with spin, valley, and layer degrees of freed…