Anatoly Golub

Kondo correlations and Majorana bound states in a metal to quantum-dot to topological-superconductor junction.

Electron transport through [normal metal]-[quantum dot]-[topological superconductor] junction is studied and reveals interlacing physics of Kondo correlations with two Majorana fermions bound state residing on the opposite edges of the topological superconductor. When the strength of the Majorana fermion coupling exceeds the temperature T , this combination of Kono-Majorana fermion physics can be observed: The usual peak of the temperature dependent zero biased conductance σ(V = 0, T ) splits and the conductance has a dip at T = 0. The height of the conductance side-peaks decreases with magnetic field.

Shot Noise through a Quantum Dot in the Kondo Regime

The shot noise in the current through a quantum dot is calculated as a function of voltage from the high-voltage Coulomb-blockaded regime to the low-voltage Kondo regime. Using several complementary approaches, it is shown that the zero-frequency shot noise (scaled by the voltage) exhibits a nonmonotonic dependence on voltage, with a peak around the Kondo temperature. Beyond giving a good estimate of the Kondo temperature, it is shown that the shot noise yields additional information on the effects of electronic correlations on the local density of states in the Kondo regime, unaccessible in traditional transport measurements.

Tunneling through an Anderson impurity between superconductors

We consider an Anderson impurity (A) weakly connected to a superconducting electrode (S) on one side and a superconducting or a normal-metal electrode (N) on the other side. A general path-integral formalism is developed and the response of

Shot noise near the unitary limit of a Kondo quantum dot

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Superconductors with broken time-reversal symmetry: Spontaneous magnetization and quantum Hall effects

and

Shot noise in a Majorana fermion chain

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Spontaneous magnetization and Hall effect in superconductors with broken time-reversal symmetry

junctions to a constant voltage bias V is elucidated, using a combination of the Keldysh technique (to handle nonequilibrium effects) and a dynamical mean-field approximation (to handle repulsive Hubbard interactions). An interesting physics is exposed at subgap voltages

Shot noise in superconducting junctions with weak link formed by Anderson impurity

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Josephson current in unconventional superconductors through an Anderson impurity

for

Multiple Andreev reflections ins-wave superconductor–quantum dot–topological superconductor tunnel junctions and Majorana bound states

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