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  • 1707.03176v1

    Rights statement: © 2017 American Physical Society

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Interacting Majorana chain: Transport properties and signatures of an emergent two-dimensional weak topological phase

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Interacting Majorana chain: Transport properties and signatures of an emergent two-dimensional weak topological phase. / Liu, Zhao; Bergholtz, Emil J.; Romito, Alessandro et al.
In: Physical review B, Vol. 96, No. 20, 205442, 28.11.2017.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Liu, Z, Bergholtz, EJ, Romito, A & Meidan, D 2017, 'Interacting Majorana chain: Transport properties and signatures of an emergent two-dimensional weak topological phase', Physical review B, vol. 96, no. 20, 205442. https://doi.org/10.1103/PhysRevB.96.205442

APA

Liu, Z., Bergholtz, E. J., Romito, A., & Meidan, D. (2017). Interacting Majorana chain: Transport properties and signatures of an emergent two-dimensional weak topological phase. Physical review B, 96(20), Article 205442. https://doi.org/10.1103/PhysRevB.96.205442

Vancouver

Liu Z, Bergholtz EJ, Romito A, Meidan D. Interacting Majorana chain: Transport properties and signatures of an emergent two-dimensional weak topological phase. Physical review B. 2017 Nov 28;96(20):205442. doi: 10.1103/PhysRevB.96.205442

Author

Liu, Zhao ; Bergholtz, Emil J. ; Romito, Alessandro et al. / Interacting Majorana chain : Transport properties and signatures of an emergent two-dimensional weak topological phase. In: Physical review B. 2017 ; Vol. 96, No. 20.

Bibtex

@article{7679c058c1234a56a52b5a87655d31a1,
title = "Interacting Majorana chain: Transport properties and signatures of an emergent two-dimensional weak topological phase",
abstract = "We study a one-dimensional (1D) chain of $2N$ Majorana bound states, which interact through a local quartic interaction. This model describes for example the edge physics of a quasi 1D stack of $2N$ Kitaev chains with modified time-reversal symmetry $T\gamma_iT^{-1}=\gamma_i$, which precludes the presence of quadratic coupling. The ground state of our 1D Majorana chain displays a four-fold periodicity in $N$, corresponding to the four distinct topological classes of the stacked Kitaev chains. We analyze the transport properties of the 1D Majorana chain, when probed by local conductors located at its ends. We find that for finite but large $N$, the scattering matrix partially reflects the four-fold periodicity, and the chain exhibits strikingly different transport properties for different chain lengths. In the thermodynamic limit, the 1D Majorana chain hosts a robust many-body zero mode, which indicates that the corresponding stacked two-dimensional bulk system realizes a weak topological phase.",
keywords = "cond-mat.mes-hall, cond-mat.str-el",
author = "Zhao Liu and Bergholtz, {Emil J.} and Alessandro Romito and Dganit Meidan",
note = "{\textcopyright} 2017 American Physical Society",
year = "2017",
month = nov,
day = "28",
doi = "10.1103/PhysRevB.96.205442",
language = "English",
volume = "96",
journal = "Physical review B",
issn = "1098-0121",
publisher = "AMER PHYSICAL SOC",
number = "20",

}

RIS

TY - JOUR

T1 - Interacting Majorana chain

T2 - Transport properties and signatures of an emergent two-dimensional weak topological phase

AU - Liu, Zhao

AU - Bergholtz, Emil J.

AU - Romito, Alessandro

AU - Meidan, Dganit

N1 - © 2017 American Physical Society

PY - 2017/11/28

Y1 - 2017/11/28

N2 - We study a one-dimensional (1D) chain of $2N$ Majorana bound states, which interact through a local quartic interaction. This model describes for example the edge physics of a quasi 1D stack of $2N$ Kitaev chains with modified time-reversal symmetry $T\gamma_iT^{-1}=\gamma_i$, which precludes the presence of quadratic coupling. The ground state of our 1D Majorana chain displays a four-fold periodicity in $N$, corresponding to the four distinct topological classes of the stacked Kitaev chains. We analyze the transport properties of the 1D Majorana chain, when probed by local conductors located at its ends. We find that for finite but large $N$, the scattering matrix partially reflects the four-fold periodicity, and the chain exhibits strikingly different transport properties for different chain lengths. In the thermodynamic limit, the 1D Majorana chain hosts a robust many-body zero mode, which indicates that the corresponding stacked two-dimensional bulk system realizes a weak topological phase.

AB - We study a one-dimensional (1D) chain of $2N$ Majorana bound states, which interact through a local quartic interaction. This model describes for example the edge physics of a quasi 1D stack of $2N$ Kitaev chains with modified time-reversal symmetry $T\gamma_iT^{-1}=\gamma_i$, which precludes the presence of quadratic coupling. The ground state of our 1D Majorana chain displays a four-fold periodicity in $N$, corresponding to the four distinct topological classes of the stacked Kitaev chains. We analyze the transport properties of the 1D Majorana chain, when probed by local conductors located at its ends. We find that for finite but large $N$, the scattering matrix partially reflects the four-fold periodicity, and the chain exhibits strikingly different transport properties for different chain lengths. In the thermodynamic limit, the 1D Majorana chain hosts a robust many-body zero mode, which indicates that the corresponding stacked two-dimensional bulk system realizes a weak topological phase.

KW - cond-mat.mes-hall

KW - cond-mat.str-el

U2 - 10.1103/PhysRevB.96.205442

DO - 10.1103/PhysRevB.96.205442

M3 - Journal article

VL - 96

JO - Physical review B

JF - Physical review B

SN - 1098-0121

IS - 20

M1 - 205442

ER -