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The purpose of this review is to provide a comprehensive pedagogical introduction into Keldysh technique for interacting out–of–equilibrium fermionic and bosonic systems. The emphasis is put on a functional integral representation of underlying microscopic models. A large part of the review is devoted to derivation and applications of nonlinear σ–model for… (More)

- T Aref, A Levchenko, V Vakaryuk, A Bezryadin
- 2012

We measure quantum and thermal phase-slip rates using the standard deviation of the switching current in superconducting nanowires. Our rigorous quantitative analysis provides firm evidence for the presence of quantum phase slips (QPSs) in homogeneous nanowires at high bias currents. We observe that as temperature is lowered, thermal fluctuations freeze at… (More)

We develop an approach to realizing a topological phase transition and non-Abelian braiding statistics with dynamically induced Floquet Majorana fermions (FMFs). When the periodic driving potential does not break fermion parity conservation, FMFs can encode quantum information. Quasienergy analysis shows that a stable FMF zero mode and two other satellite… (More)

We study the stochastic nature of switching current in hysteretic current-voltage characteristics of superconductor-graphene-superconductor junctions. We find that the dispersion of the switching current distribution scales with temperature as σ(I) proportional to T(α(G)) with α(G) as low as 1/3. This observation is in sharp contrast to the known Josephson… (More)

- A Murphy, P Weinberg, T Aref, U C Coskun, V Vakaryuk, A Levchenko +1 other
- Physical review letters
- 2013

We perform measurements of phase-slip-induced switching current events on different types of superconducting weak links and systematically study statistical properties of the switching current distributions. We employ two types of devices in which a weak link is formed either by a superconducting nanowire or by a graphene flake subject to proximity effect.… (More)

- B N Narozhny, A Levchenko, Jaseung Ku, Zack Yoscovits, Alex Levchenko, James Eckstein +31 others
- 2015

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