Formation of bound states from the edge states of 2D topological insulator by macroscopic magnetic barriers

Khomitsky, D. V.; Konakov, A. A.; Лаврухина, Е. А.

doi:10.1088/1361-648x/ac8407

Cited by 4 publications

(2 citation statements)

References 45 publications

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“…Such a defect ensures the existence of a magnetic field in a small region of the HES, i.e., allows elastic backward scattering without tunneling coupling between the HES and defect. Note that the possibility of creating static magnetic contacts to the HES has already been discussed in another context [34]. In principle, the interference effects we are interested in could be observed in presence of a point-like non-magnetic scatterer, taking into account the electron-electron interaction [35].…”

Section: Condensed Mattermentioning

confidence: 96%

Shot Noise in Helical Edge States in Presence of a Static Magnetic Defect

Niyazov,

Krainov,

Aristov

et al. 2024

Jetp Lett.

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The Fano factor, $$\mathcal{F}$$, of the shot noise of the current through the edge states of a two-dimensional topological insulator with contacts of generic type is calculated. A magnetic static defect changes $$\mathcal{F}$$ significantly. For metallic contacts, as the strength of the defect increases, the Fano factor increases from $$\mathcal{F}$$ = 0 to its maximum value, $${{\mathcal{F}}_{{\max }}}$$ ≈ 0.17, and then decreases back to zero value in the limit of strong defect. For tunnel contacts in the limit of weak tunnel coupling, the Fano factor is insensitive to the strength of the defect: $$\mathcal{F}$$ → 1/2. For weak but finite tunnel coupling strength, $$\mathcal{F}$$ exhibits a periodic series of sharp peaks of small amplitude as a function of the magnetic flux piercing the sample. The peaks transform into Aharonov–Bohm harmonic oscillations with increasing the strength of the tunnel coupling.

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Section: Condensed Mattermentioning

confidence: 96%

Shot Noise in Helical Edge States in Presence of a Static Magnetic Defect

Niyazov,

Krainov,

Aristov

et al. 2024

Jetp Lett.

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“…In recent years, topological phenomena have attracted much attention both in condensed matter physics and material science, generating significant influence in fundamental and applied research [1,2]. Topological insulator, a new topologically nontrivial quantum material, has made great theoretical and experimental research progress [3,4]. Owing to its unique band structure with gapless edge (or surface) states surviving in the band gap of insulating bulk, the topological insulator the QSHE can produce a quantized conductance of 2e 2 /h.…”

Section: Introductionmentioning

confidence: 99%

Thermal dissipation of the quantum spin Hall edge states in HgTe/CdTe quantum well

Fang,

Zhuang,

Guo

et al. 2023

J. Phys.: Condens. Matter

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Quantum spin Hall eﬀect is characterized by topologically protected helical edge states. Here we study the thermal dissipation of helical edge states by considering two types of dissipation sources. The results show that the helical edge states are dissipationless for normal dissipation sources with or without Rashba spin-orbit coupling in the system, but they are dissipative for spin dissipation sources. Further studies on the energy distribution show that electrons with spin-up and spin-down are both in their own equilibrium without dissipation sources. Spin dissipation sources can couple the two subsystems together to induce voltage drop and non-equilibrium distribution, leading to thermal dissipation, while normal dissipation sources cannot. With the increase of thermal dissipation, the subsystems of electrons with spin-up and spin-down evolve from non-equilibrium ﬁnally to mutual equilibrium. In addition, the eﬀects of disorder on thermal dissipation are also discussed. Our work provides clues to reduce thermal dissipation in the quantum spin Hall systems.

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