arXiv subjects

Anatoly Golub

Publications and source records attributed to Anatoly Golub.

17 recordsLinked to original sources

arXiv2021

Double Quantum Dot scenario for spin resonance in current noise

We show that interference between parallel currents through two quantum dots, in presence of spin orbit interactions and strong on-site Coulomb repulsion, leads to resonances in current noise at the corresponding Larmor frequencies. An additional resonance at the difference of Larmor frequencies is present even without spin-orbit interaction. The resonance lines have strength comparable to the background shot noise and therefore can account for the numerous observations of spin resonance in STM noise with non-polarized leads. We solve also several other models that show similar resonances.

cond-mat.mes-hall↗

arXiv2015

Interferometric resonance signatures of Majorana bound states

We calculate the current noise power spectrum in a nanoscopic interferometer consisting of a Majorana bound state (MBS) and a localized spin. We show that for large voltage (though less than the superconducting gap) several strong resonance peaks appear at frequencies that depend on the Zeeman splitting of the localized spin and on its tunneling to the localized spin. We also evaluate the differential conductance and find the unitary limit peak $2e^2/h$ at zero voltage as well as peaks at voltages corresponding to the resonances. We propose that detection of the resonances and related peaks in the differential conductance provide a strong support for the presence of an MBS.

cond-mat.mes-hall↗

arXiv2015

Multiple Andreev reflections in s-wave superconductor-quantum dot- topological superconductor tunnel junctions and Majorana bound states

We calculate the current as a function of applied voltage in non-topological s-wave superconductor-quantum dot-topological superconductor tunnel junction. We consider the type of TS which hosts two Majorana bound states (MBS) at the ends of a semiconductor quantum wire or of a chain of magnetic atoms in the proximity with s-wave superconductor. We find that the $I-V$ characteristic of such system in the regime of big voltages has a typical two dot shape and is ornamented by peaks of multiple Andreev reflections. We also consider the other options when the zero energy states are created by disorder (here by Shiba states) or by Andreev zero energy bound states at the surface of quantum dot and superconductor. The later are obtained by tuning the magnetic field to a specific value. Unlike the last two cases the MBS $I-V$ curves are robust to change the magnetic field. Therefore, the magnetic field dependence of the tunneling current can serve as a unique signature for the presence of a MBS.

cond-mat.supr-con↗

arXiv2013

Nanoscopic interferometer model for spin resonance in current noise

We study a model for the observed phenomenon of electron spin resonance (ESR) at the Zeeman frequency as seen by a scanning tunneling microscope (STM) via its current noise. The model for this ESR-STM phenomenon allows the STM current to flow in two arms of a nanoscopic interferometer, one arm has direct tunneling from the tip to the substrate while the second arm has tunneling through two spin states. We evaluate analytically the noise spectrum for non-polarized leads, as relevant to the experimental setup. We show that spin-orbit interactions allow for an interference of two tunneling paths resulting in a resonance effect.

cond-mat.mes-hall↗

arXiv2012

Charge Resistance in a Majorana RC circuit

We investigate the dynamical charge response in a "Majorana Coulomb box" realized by two Majorana bound states hosted at the ends of a mesoscopic topological superconductor. One side of the wire is coupled to a normal lead and low frequency gate voltage is applied to the system. There is no dc-current; the system can be considered as an RC quantum circuit. We calculate the effective capacitance and charge relaxation resistance. The latter is in agreement with the Korringa-Shiba formula where, however, the charge relaxation resistance is equal to h/2e^2. This value corresponds to the strong Coulomb blockade limit described by a resonant model formulated by Fu [PRL 104, 056402 (2010)]. We also performed direct calculations using the latter model and defined its parameters by direct comparison with our perturbation theory results.

cond-mat.str-el↗

arXiv2012

Kondo Tunneling into a Quantum Spin Hall Insulator

The physics of a junction composed of a normal metal, quantum dot and 2D topological insulator (in a quantum spin Hall state) is elucidated. It maifests a subtle combination of Kondo correlations and quantum spin Hall edge states moving on the opposite sides of the 2D topological insulator. In a narrow strip geometry these edge states interact and a gap opens in the edge state spectrum. Consequently, Kondo screening is less effective and that affects electron transport through the junction. Specifically, when edge state coupling is strong enough, the tunneling differential conductance develops a dip at zero temperature instead of the standard zero bias Kondo peak.

cond-mat.str-el↗

arXiv2011

Metal-Quantum Dot-Topological Superconductor Junction: Kondo correlations and Majorana Bound States

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 {\it dip} at T=0. The height of the conductance side-peaks decreases with magnetic field.

cond-mat.str-el↗

arXiv2011

Shot noise in a Majorana fermion chain

We calculate the shot noise power in a junction of a network of Majorana bound states (MBS) with a normal metal. These Majorana bound states are on the border of alternative ferromagnetic and superconducting regions at the quantum spin Hall insulator edge. We analyze different realization of MBS networks including a few isolated ones or in a chain allowing for the limit of weak and strong tunneling. The conductance, as well as the shot noise are considerably stronger than those of a weakly coupled normal-superconduting junction, being a hallmark of the MBS. We find that the Fano factor is quantized $F=2$ when one MBS member of a pair is coupled to the lead, however if both MBS members are coupled $F$ is non-integer.

cond-mat.mes-hall↗

arXiv2010

Shot noise in Graphene with long range Coulomb interaction and the local Fermi distribution

We calculate the shot noise power in ballistic graphene using the kinetic equation approach based on the Keldysh technique. We find that the local energy distribution function obeys Poisson's equation, indicating a mapping into a diffusive metal system. We derive the conductance and noise including the long range Coulomb interaction to first order. We find that the shot noise increases due to interaction, leading to a frequency dependence. Furthermore, we find that the Fano factor at degeneracy is 1/3, the same as without the Coulomb interaction.

cond-mat.mes-hall↗

arXiv2003

Fano effect of a strongly interacting quantum dot in contact with superconductor

The physics of a system consisting of an Aharonov Bohm (AB) interferometer containing a single level interacting quantum dot (QD) on one of its arms, and attached to normal (N) and superconducting (S) leads is studied and elucidated. Here the focus is directed mainly on N-AB-S junctions but the theory is capable of studying S-AB-S junctions as well. The interesting physics comes into play under the conditions that both the Kondo effect in the QD and the the Fano effect are equally important.It is found the conductance of the junction is suppressed as the Fano effect becomes more dominant.

cond-mat.str-el↗

arXiv2003

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

Broken time reversal symmetry (BTRS) in d+id' as well as in d+is superconductors is studied and is shown to yield current carrying surface states. We evaluate the temperature and thickness dependence of the resulting spontaneous magnetization and show a marked difference between weak and strong BTRS. We also derive the Hall conductance which vanishes at zero wavevector q and finite frequency w, however at finite q,w it has an unusual structure. The chirality of the surface states leads to quantum Hall effects for spin and heat transport in d+id' superconductors.

cond-mat.supr-con↗

arXiv2002

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

Broken time reversal symmetry (BTRS) in d wave superconductors is studied and is shown to yield current carrying surface states. The corresponding spontaneous magnetization is temperature independent near the critical temperature Tc for weak BTRS, in accord with recent data. For strong BTRS and thin films we expect a temperature dependent spontaneous magnetization with a paramagnetic anomaly near Tc. The Hall conductance is found to vanish at zero wavevector q and finite frequency w, however at finite q,w it has an unusual structure.

cond-mat.supr-con↗

arXiv2001

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 non-monotonic 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.

cond-mat.mes-hall↗

arXiv2000

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 SAN and SAS junctions to a constant voltage bias V is elucidated, using a combination of the Keldysh technique (to handle non-equilibrium effects) and a dynamical mean field approximation (to handle repulsive Hubbard interactions). An interesting physics is exposed at sub-gap voltages ($eV < Δ$ for SAN and $eV < 2 Δ$ for SAS). For an SAN junction, Andreev reflection is strongly affected by Coulomb interaction. For superconductors with p-wave symmetry the junction conductance exhibits a remarkable peak at $eV < Δ$, while for superconductors with s-wave symmetric pair potential the peak is shifted towards the gap edge $eV=Δ$ and strongly suppressed if the Hubbard repulsive interaction increases.Electron transport in SAS junctions is determined by an interplay between multiple Andreev reflection (MAR) and Coulomb effects. For s-wave superconductors the usual peaks in the conductance that originate from MAR are shifted by interaction to larger values of V. They are also suppressed as the Hubbard interaction strength grows. For p-wave superconductors the sub-gap current is much larger and the I-V characteristics reveal a new feature, namely, a peak in the current resulting from a mid-gap bound state in the junction.

cond-mat.str-el↗

arXiv2000

Quantum Dot between two Superconductors

Novel effects emerge from an interplay between multiple Andreev reflections and Coulomb interaction in quantum dot coupled to superconducting leads and subject to a finite potential bias $V$. Combining an intuitive physical picture with rigorous path integral formalism we evaluate the current $I$ through the dot and find that the interaction shifts the subharmonic pattern of the $I-V$ curve is shifted toward higher $V$. For sufficiently ^M strong interaction the subgap current (at $eV < 2 Δ$) is virtually suppressed.

cond-mat.str-el↗

arXiv1998

Disorder in two dimensional Josephson junctions

An effective free energy of a two dimensional (i.e. large area) Josephson Junctions is derived, allowing for thermal fluctuations, for random magnetic fields and for external currents. We show by using replica symmetry breaking methods, that the junction has four distinct phases: disordered, Josephson ordered, a glass phase and a coexisting Josephson order with the glass phase. Near the coexistence to glass transition at s=1/2 the critical current is ~ (area)^{-s+1/2} where s is a measure of disorder. Our results may account for junction ordering at temperatures well below the critical temperature of the bulk in high T_c trilayer junctions.

cond-mat.supr-con↗

arXiv1997

Glass phases of flux lattices in layered superconductors

We study a flux lattice which is parallel to superconducting layers, allowing for dislocations and for disorder of both short wavelength and long wavelength. We find that the long wavelength disorder has a significant effect on the phase diagram -- it produces a first order transition within the Bragg glass phase and leads to melting at strong disorder. This then allows a Friedel scenario of 2D superconductivity.

cond-mat.supr-con↗