Quantum theory of dissipative topological systems

Huang, Yuchun; Yang, Pei; Zhang, Wei Min

doi:10.1103/physrevb.102.165116

Cited by 19 publications

(31 citation statements)

References 71 publications

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“…which reproduces the result in Ref. [33] as a special case with the symmetric spectral density. Note that δω +L ( Ṽ ) is an odd function for the symmetric spectral density, so it vanishes at zero bias.…”

Section: Differential Conductance With the Left Leadsupporting

confidence: 90%

“…In conclusion, using the quantum transport theory based on quantum Langevin equation approach [32,33,46,48], we analytically solve the differential conductance for this asymmetric superconductor two-terminal device with general dissipative spectral densities. This asymmetric superconductor two-terminal device contains zeroenergy modes that can undergo a topological phase transition from the topologically nontrivial Majorana bound state to the topologically trivial Andreev bound state.…”

Section: Discussionmentioning

confidence: 99%

“…which is a generalized quantum Langevin equation [32,33,46,48]. The third term in the left side of Eq.…”

Section: Appendix Amentioning

confidence: 99%

“…On the other hand, the coupling between the edge state of the superconductor and the leads can be easily controlled through external electric gate or magnetic field. Thus, using the quantum Langevin equation approach [32,33,46,48], we can analytically solve the transient transport current and the differential conductance for arbitrary spectral densities of the leads at any temperature. The exact solution of the differential conductance crucially depends on the detailed coupling of the leads with the wavefunction distribution of the edge states of the superconducting chain.…”

Section: Introductionmentioning

confidence: 99%

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The differential conductance tunnel spectroscopy in an analytical solvable two-terminal Majorana device

Yao,

Zhang

2021

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In this paper, we investigate the non-Markovian quantum transport dynamics of a two-terminal Majorana device that is made of an asymmetric topological superconducting chain coupled to two leads. This asymmetric superconducting chain is analytically solvable and can be realized by a hybrid system of semiconductor nanowire coupled to superconductors or by 1D transverse-field Ising chains. In such asymmetric superconducting chains, by the change of chemical potential, its ground state undergoes a topological quantum phase transition from the topological Majorana bound state to the trivial Andreev bound state while the ground state energy remains zero. We solve the exact transient transport current and the corresponding differential conductance. The results show that the presence or absence of the interference between the left and right Majorana zero modes plays an important role on the topological phase transition of conductance. It cause the edge-localized topologically trivial states to be insulated with zero conductance, while the nonlocally distributed topologically nontrivial states always have a quantized conductance 2e 2 /h. This dramatic change associated with topological phase transition for zero-mode differential conductance at zero bias is independent of the structure of leads and the coupling strength. We also examine the finite size effect of the superconducting chain and the coherence effect between zero mode and non-zero energy modes on the differential conductance in this two-terminal Majorana device.

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Section: Differential Conductance With the Left Leadsupporting

confidence: 90%

Section: Discussionmentioning

confidence: 99%

“…which is a generalized quantum Langevin equation [32,33,46,48]. The third term in the left side of Eq.…”

Section: Appendix Amentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The differential conductance tunnel spectroscopy in an analytical solvable two-terminal Majorana device

Yao,

Zhang

2021

Preprint

Self Cite

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show abstract

“…Physicists have gone far beyond the Born-Markov master equation [8], the GKS-Lindblad master equation [9,10], and truncated Nakajima-Zwanzig master equation [11][12][13], which are either only applicable in the weak-coupling regime or just an approximation to the practically unsolvable formal equation. Up to now, the exact master equations for quantum Brownian motion [14,15], for electronic and photonic open quantum systems [16][17][18][19] and for hybrid topological superconducting systems [20,21], as well as those that are mathematically equivalent to them, have been successfully derived.…”

Section: Introductionmentioning

confidence: 99%