Condensed Matter Physics, 2018, vol. 21, No. 2, 23703
DOI:10.5488/CMP.21.23703
arXiv:1806.10484
Title:
Anomalous zerotemperature magnetopolaronic blockade of resonant electron tunneling in Majoranaresonantlevel singleelectron transistor
Author(s):

G.A. Skorobagatko
(Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii St., 79011 Lviv, Ukraine)

The magnetopolaronic generalization of a Majoranaresonantlevel (MRL) model is considered for a singlelevel vibrating quantum dot coupled to two halfinfinite g=1/2
TomonagaLuttinger liquid (TLL) leads. A qualitatively new nontrivial formula for the effective transmission coefficient and differential conductance for resonant magnetopolaronassisted
tunneling is obtained under the assumption about a fermionboson factorization of corresponding averages. This approach is valid for the case of weak magnetopolaronic coupling in a system.
Surprisingly, it is found that despite a supposed weakness of interaction between fermionic and bosonic subsystems in that case, a strongly correlated electron transport in the system reveals
features of strong (and, hence, anomalous) magnetopolaronic blockade at zero temperature if the energy of a vibrational quantum is the smallest (but nonzero) energy parameter in the
system. Such an effect should be referred to as magnetic phasecoherent magnetopolaronassisted resonant tunneling of Andreev type, that originates from a special, Majoranalike, symmetry of
magnetopolaroncoupled tunnel Hamiltonian. The effect predicted in this paper can be used as an experimental fingerprint of Majoranaresonant level situation in singleelectron transistors
as well as for detection of ultraslow zeropoint oscillations of suspended carbon nanotubes in the Majoranaresonant level regime of electron tunneling through corresponding singleelectron
transistors.
Key words:
electron tunneling, Majorana resonant level model, Luttinger liquid, refermionization, magnetomechanical coupling, magnetopolaron
PACS:
73.63.Kv, 72.10.Pm, 73.23.b, 73.63b,71.38.k, 85.85.+j
