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## Entanglement spectrum in superfluid phases of 3He

JETP Letters. 2017. Vol. 106. No. 11. P. 739-742.

We analyze the entanglement spectrum of superfluid phases of $^3$He, the 3D B-phase and the planar phase in two dimensions. We find explicitly the wave functions of the low-lying eigenstates, including Majorana zero modes, as well as the corresponding part of the spectrum of the entanglement Hamiltonian.

Publication based on the results of:

Мальшуков А. Г., Physical Review B: Condensed Matter and Materials Physics 2019 Vol. 100 P. 035301-1-035301-7

A nonstationary anomalous Hall current is calculated for a voltage biased Josephson junction, which is composed of two s-wave superconducting contacts deposited on the top of a three-dimensional topological insulator (TI). A homogeneous Zeeman field was assumed at the surface of the TI. The problem has been considered within the ballistic approximation and on the ...

Added: March 11, 2020

Nagaev K., Remizov S., Шапиро Д. С., JETP Letters 2018 Vol. 108 P. 664-669

We calculate the frequency-dependent shot noise in the edge states of a two-dimensional topological insulator coupled to a magnetic impurity with spin S = 1/2 of arbitrary anisotropy. If the anisotropy is absent, the noise is purely thermal at low frequencies, but tends to the Poisson noise of the full current I at high frequencies. If the interaction only ...

Added: October 29, 2021

Мальшуков А. Г., Physical Review B: Condensed Matter and Materials Physics 2018 Vol. 97 P. 064515-1-064515-7

It is shown that the spin-orbit and Zeeman interactions result in phase shifts of Andreev-reflected
holes propagating at the surface of a topological insulator, or in Rashba spin-orbit-coupled two
dimensional normal metals, which are in a contact with an s-wave superconductor. Due to interference
of holes reflected through different paths of Andreev interferometer the electric current through
external contacts ...

Added: February 6, 2019

Vasenko A., Golubov A. A., Silkin V. M. et al., JETP Letters 2017 Vol. 105 No. 8 P. 489-490

We study the effect of the Fermi surface anisotropy (hexagonal warping) on the superconducting pair potential, induced in a three-dimensional topological insulator (TI) by proximity with an s-wave superconductor (S) in presence of a magnetic moment of a nearby ferromagnetic insulator (FI). In the previous studies similar problem was treated with a simplified Hamiltonian, describing ...

Added: April 7, 2017

Frolov A., Orlov A., Sinchenko A. et al., Journal of Physics: Conference Series 2018 Vol. 941 P. 1-4

We report preparation of nanoribbons (crossection ~ 250*25 nm2) by focused ion beam etching of single-crystalline Bi2Se3 and detailed measurements of their magnetoresistance at temperatures down to 4.2 K, magnetic field up to 9 T. In a magnetic field parallel to the axis of nanowire the magnetoresistance shows up oscillations. Surprisingly, the Fourier analysis shows ...

Added: February 25, 2018

Burmistrov I., Repin E., JETP Letters 2015 Vol. 148 No. 3 P. 509

We explore a combined effect of hexagonal warping and a finite effective mass on both the tunneling density of electronic surface states and the structure of Landau levels of 3D topological insulators. We find the increasing warping to transform the square-root van Hove singularity into a logarithmic one. For moderate warping, an additional logarithmic singularity ...

Added: December 3, 2016

Demishev S. V., Gilmanov M., Samarin A. et al., Applied Magnetic Resonance 2020 Vol. 51 No. 1 P. 71-84

The low temperature (T < 5 K) electron spin resonance in topological Kondo insulator SmB6 is investigated. It is shown that spin relaxation time of the paramagnetic centers responsible for low temperature electron spin resonance in SmB6 is about ~ 10−8 s, which exceeds by five orders of magnitude the widely accepted spin and charge fluctuation time ~ 10−13 s in the homogeneous ...

Added: December 24, 2020

Aronzon B. A., Oveshnikov L. N., Prudkoglyad V. et al., Journal of Magnetism and Magnetic Materials 2018 Vol. 459 No. 1 P. 331-334

Structural, magnetic and magnetotransport properties of (Bi1-xEux)2Se3 thin films have been studied experimentally as a function of Eu content. The films were synthesized by MBE. It is demonstrated that Eu distribution is not uniform, it enter quint-layers forming inside them plain (pancake-like) areas containing Eu atoms, which sizes and concentration increase with the growth of Eu content. Positive ...

Added: July 13, 2018

Makhlin Y., Silaev M., Volovik G., Physical Review B: Condensed Matter and Materials Physics 2014 Vol. 89 P. 174502

We provide topological classification of possible phases with the symmetry of the planar phase of superfluid He3. Compared to the B phase [class DIII in classification of A. Altland and M. R. Zirnbauer, Phys. Rev. B 55, 1142 (1997)], it has an additional symmetry, which modifies the topology. We analyze the topology in terms of ...

Added: October 15, 2016

Ефимкин Д. К., Lozovik Y., Sokolik A. A., Physical Review B: Condensed Matter and Materials Physics 2012 Vol. 86 No. 11-5436 P. 1-9

We consider the pairing of massless Dirac electrons and holes located on opposite surfaces of thin films of “strong” three-dimensional topological insulators. Such pairing is predicted to give rise to a topological exciton condensate with unusual properties. We estimate the quantitatively achievable critical temperature of the pairing while taking into account the self-consistent screening of ...

Added: March 14, 2013

Kuntsevich A., Габдуллин А. А., Prudkoglyad V. et al., Physical Review B: Condensed Matter and Materials Physics 2016 Vol. 94 No. 23 P. 235401-1-235401-8

Bismuth chalcogenides are the most studied 3D topological insulators. As a rule, at low temperatures, thin films of these materials demonstrate positive magnetoresistance due to weak antilocalization. Weak antilocalization should lead to resistivity decrease at low temperatures; in experiments, however, resistivity grows as temperature decreases. From transport measurements for several thin films ( with various ...

Added: February 24, 2018

Efimkin D. K., Lozovik Y., Sokolik A. A., Nanoscale Research Letters 2012 Vol. 7 No. 163 P. 1-10

We study collective excitations in a helical electron liquid on a surface of three-dimensional topological insulator. Electron in helical liquid obeys Dirac-like equation for massless particles and direction of its spin is strictly determined by its momentum. Due to this spin-momentum locking, collective excitations in the system manifest themselves as coupled charge- and spin-density waves. ...

Added: March 14, 2013

Fedotov N., Zaitsev-Zotov S., Physica Status Solidi - Rapid Research Letters 2019 Vol. 13 No. 5 Article 1800617

Topologically protected surface states of three-dimensional topological insulators provide a model framework for studying massless Dirac electrons in two dimensions. Usually a step on the surface of a topological insulator is treated as a scatterer for the Dirac electrons, and the study of its effect is focused on the interference of the incident and scattered ...

Added: October 29, 2021

Ефимкин Д. К., Lozovik Y., Sokolik A. A., Journal of Magnetism and Magnetic Materials 2012 Vol. 324 No. 21 P. 3610-3612

Collective plasmon excitations in a helical electron liquid on the surface of strong three-dimensional topological insulator are considered. The properties and internal structure of these excitations are studied. Due to spin-momentum locking in helical liquid on a surface of topological insulator, the collective excitations should manifest themselves as coupled charge- and spin-density waves. ...

Added: March 14, 2013

Piatrusha S., Khrapai V., Kvon Z. et al., Physical Review B: Condensed Matter and Materials Physics 2017 Vol. 96 No. 245417 P. 1-10

We investigate lateral p−n junctions, electrostatically defined in 14-nm-wide HgTe-based quantum wells (QWs) with inverted band structure. The p−n junction resistances are close to h/2e2, consistent with some previous experiments on 8–10nm QWs, and the current-voltage characteristics are highly linear, indicating the transport via ballistic helical edge states. Shot noise measurements are performed in order to further verify the underlying transport mechanism. We ...

Added: February 1, 2019

Yevtushenko O., Yudson V., Physical Review B: Condensed Matter and Materials Physics 2021 Vol. 104 Article 195414

Dynamical magnetic impurities (MI) are considered as a possible origin for suppression of the ballistic helical transport on edges of two-dimensional (2D) topological insulators. The MIs provide a spin-flip backscattering of itinerant helical electrons. Such a backscattering reduces the ballistic conductance if the exchange interaction between the MI and the electrons is anisotropic and the ...

Added: December 6, 2021

Kuntsevich A., Materials 2022 Vol. 14 No. 24 P. 7528-7528

Search for doped superconducting topological insulators is of prime importance for new quantum technologies. We report on fabrication of Sr-doped Bi2Te3 single crystals. We found that Bridgman grown samples have p-type conductivity in the low 10^19 cm^(−3), high mobility of 4000 cm^2*V^(−1)s^(−1), crystal structure independent on nominal dopant content, and no signs of superconductivity. We also studied molecular ...

Added: June 17, 2022

Мальшуков А. Г., Physical Review B: Condensed Matter and Materials Physics 2020 Vol. 101 P. 134514-1-134514-7

A nonuniform in-plane Zeeman field can induce spontaneous supercurrents of spin-orbit-coupled electrons in
superconducting two-dimensional systems and thin films. In this work it is shown that current vortices can be
created at the ends of a long homogeneously magnetized strip of a ferromagnetic insulator, which is deposited on
the surface of a three-dimensional topological insulator. The s-wave superconductivity ...

Added: January 20, 2021

Овешников Л. Н., Нехаева Е. И., Прудкогляд В. А. et al., Письма в Журнал экспериментальной и теоретической физики 2016 Т. 104 № 9 С. 651-657

В работе исследовалась магнетопроводимость тонких пленок Bi2Se3 с защитным слоем Se, выра
щенных на подложках (111) BaF2. Наблюдаемая отрицательная магнетопроводимость в малых полях,
обусловленная эффектом слабой антилокализации, так же как и осцилляции Шубникова–де Гааза в
больших полях, определяется только перпендикулярной к плоскости пленки компонентой магнитного
поля. Полученные экспериментальные результаты могут быть разумно объяснены в предположении на
личия в исследуемых пленках ...

Added: December 6, 2016

Terekhovich V., Эпистемология и философия науки 2019 Т. 56 № 1 С. 169-184

The framework of simple opposition realism - anti-realism is not enough to analyze the views on the reality of unobservable objects of quantum theory. First, it is necessary to distinguish between realism in relation to the theory and realism in relation to the theory’s objects. Secondly, realism in relation to classical objects can be combined, ...

Added: February 12, 2020

Kagan M., JETP Letters 2016 Vol. 103 No. 11 P. 728-738

In this short review, we first discuss the results, which are mainly devoted to the generalizations of the famous Kohn–Luttinger mechanism of superconductivity in purely repulsive fermion systems at low electron densities. In the context of repulsive-U Hubbard model and Shubin–Vonsovsky model we consider briefly the superconducting phase diagrams and the symmetries of the order parameter ...

Added: November 18, 2016

Kolokolov I., Lebedev V., Chertkov M. et al., Journal of Lightwave Technology 2004 Vol. 22 No. 4 P. 1155-1168

This paper presents a method that allows evaluating the performance of an optical fiber system where bit errors result from a complex interplay of spontaneous noise generated in optical amplifiers and birefringent disorder of the transmission fiber. We demonstrate that in the presence of temporal fluctuations of birefringence characteristics, the bit-error rate (BER) itself is ...

Added: February 23, 2017

Alfimov M., Litvinov A., Journal of High Energy Physics 2022 No. 01 Article 43

We study regularization scheme dependence of beta-function for sigma models with two-dimensional target space. Working within four-loop approximation, we conjecture the scheme in which the beta-function retains only two tensor structures up to certain terms containing zeta_3. Using this scheme, we provide explicit solutions to RG flow equation corresponding to Yang-Baxter- and lambda-deformed SU(2)/U(1) sigma ...

Added: February 1, 2022

Min N., Younghun K., Scientific Reports 2018 Vol. 8 No. 1 P. 16915-1-16915-18

Sequential state discrimination is a strategy for quantum state discrimination of a sender’s quantum
states when N receivers are separately located. In this report, we propose optical designs that can
perform sequential state discrimination of two coherent states. For this purpose, we consider not
only binary phase-shifting-key (BPSK) signals but also general coherent states, with arbitrary prior
probabilities. Since ...

Added: November 16, 2020