Journals Articles Conferences News About CLP
Submit a paper Email Alert
Search
Search
Articles
Journals
News
Advanced Search
Top Searches
2D MaterialsTransformation opticsQuantum PhotonicsSmall lasersSemiconductor UV PhotonicsSupersymmetric microring laser arrays

Acta Physica Sinica, Volume. 69, Issue 7, 070302-1(2020)

Topological quantum phase transitions in one-dimensional p-wave superconductors with modulated chemical potentials

Jing-Nan Wu1,2, Zhi-Hao Xu1,2、*, Zhan-Peng Lu1,2, and Yun-Bo Zhang1
Author Affiliations
  • 1Institute of Theoretical Physics, Shanxi University, Taiyuan 030006, China
  • 2State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Opto-Electronics, Shanxi University, Taiyuan 030006, China
    • show less
    AbstractGet PDF(in Chinese)
    Figures&Tables (6)
    Equations (18)
    References (61)
    Tools
    Paper Information
    Topics
    References(61)

    [1] Alicea J[J]. Rep. Prog. Phys., 75, 076501(2012).

    [2] Beenakker C W J[J]. Ann. Rev. Con. Mat. Phys., 4, 113(2013).

    [3] Wilczek F[J]. Nat. Phys., 5, 614(2009).

    [4] Elliott S R, Franz M[J]. Rev. Mod. Phys., 87, 137(2015).

    [5] Kitaev A Y[J]. Phys. Usp., 44, 131(2001).

    [6] Mourik V, Zuo K, Frolov S M, Plissard S R, , Kouwenhoven L P[J]. Science, 336, 1003(2012).

    [7] Chen J, Yu P, Stenger J, Hocevar M, Car D, Plissard S R, , Stanescu T D, Frolov S M[J]. Sci. Adv., 3, e1701476(2017).

    [8] Albrecht S M, Higginbotham A P, Madsen M, Kuemmeth F, Jespersen T S, Nygard J, Krogstrup P, Marcus C M[J]. Nature, 531, 206(2016).

    [9] Deng M T, Vaitiekenas S, Hansen E B, Danon J, Leijnse M, Flensberg K, Nygard J, Krogstrup P, Marcus C M[J]. Science, 354, 1557(2016).

    [10] Zhang H, Liu C X, Gazibegovic S, Xu D, Logan J A, Wang G Z, N Loo van, Bommer J D S, , Car D, , Veldhoven P J, Koelling S, Verheijen M A, Pendharkar M, Pennachio D J, Shojaei B, Lee J S, Palmstrøm C J, , Sarma S D, Kouwenhoven L P[J]. Nature, 556, 74(2018).

    [11] Nadj-Perge S, Drozdov I K, Bernevig B A, Yazdani A[J]. Phys. Rev. B, 88, 020407(2013).

    [12] Nadj-Perge S, Drozdov I K, Li J, Chen H, Jeon S, Seo J, MacDonald A H, Bernevig B A, Yazdani A[J]. Science, 346, 602(2014).

    [13] Jeon S, Xie Y L, Li Jian, Wang Z J, Bernevig B A, Yazdani A[J]. Science, 358, 772(2017).

    [14] Hell M, Leijnse M, Flensberg K[J]. Phys. Rev. Lett., 118, 107701(2017).

    [15] Pientka F, Keselman A, Berg E, Yacoby A, Stern A, Halperin B I[J]. Phys. Rev. X, 7, 021032(2017).

    [16] Fornieri A, Whiticar A M, Setiawan F, Marín E P, Asbjórn C C D, Keselman A, Gronin S, Thomas C, Wang T, Kallaher R, Gardner G C, Berg E, Manfra M J, Stern A, Marcus C M, Nichele F[J]. Nature, 569, 89(2019).

    [17] Cook A, Franz M[J]. Phys. Rev. B, 84, 201105(2011).

    [18] Sun H H, Zhang K W, Hu L H, Li C, Wang G Y, Ma H Y, Xu Z A, Gao C L, Guan D D, Li Y Y, Liu CH, Qian D, Zhou Y, Fu L, Li S C, Zhang F C, Jia J F[J]. Phys. Rev. Lett., 116, 257003(2016).

    [19] Fu L, Kane C L[J]. Phys. Rev. Lett., 100, 096407(2008).

    [20] Ivanov D A[J]. Phys. Rev. Lett., 86, 268(2001).

    [21] Zhu S L, Shao L B, Wang Z D, Duan L M[J]. Phys. Rev. Lett., 106, 100404(2011).

    [22] Lindner N H, Berg E, Refael G, Stern A[J]. Phys. Rev. X, 2, 041002(2012).

    [23] Nayak C, Simon S H, Stern A, Freedman M, Sarma S D[J]. Rev. Mod. Phys., 80, 1083(2008).

    [24] Jiang L, Kitagawa T, Alicea J, Akhmerov A R, Pekker D, Refael G, Cirac J I, Demler E, Lukin M D, Zoller P[J]. Phys. Rev. Lett., 106, 220402(2011).

    [25] Hubener H, Sentef M A, Giovannini U D, Kemper A F, Rubio A[J]. Nat. Commun., 8, 13940(2017).

    [26] Cheng Q, Pan Y, Wang H, Zhang C, Yu D, Gover A, Zhang H, Li T, Zhou L, Zhu S[J]. Phys. Rev. Lett., 122, 173901(2019).

    [27] Cadez T, Mondaini R, Sacramento P D[J]. Phys. Rev. B, 99, 014301(2019).

    [28] Wang H Y, Zhuang L, Liu W M[J]. arXiv: 1910.10911 cond-mat.mes-hall(2019).

    [29] Takata K, Notomi M[J]. Phys. Rev. Lett., 121, 213902(2018).

    [30] Zhou L[J]. arXiv: 1911.11978 cond-mat.mes-hall(2019).

    [31] Zeng Q B, Yang Y B, Xu Y[J]. arXiv: 1901.08060 cond-mat.mes-hall(2019).

    [32] Okuma N, Sato M[J]. Phys. Rev. Lett., 123, 097701(2019).

    [33] Ezawa M[J]. Phys. Rev. B, 100, 045407(2019).

    [34] Wu Y J, Liu H W, Liu J, Jiang H, Xie X C[J]. arXiv: 1901.08060 cond-mat.mes-hall(2019).

    [35] Amorim C S, Ebihara K, Yamakage A, Tanaka Y, Sato M[J]. Phys. Rev. B, 91, 174305(2015).

    [36] Chen C Z, Xie Y M, Liu J, Lee P A, Law K T[J]. Phys. Rev. B, 97, 104504(2018).

    [37] Lang L J, Chen S[J]. Phys. Rev. B., 86, 205135(2012).

    [38] Cai X M, Lang L J, Chen S, Wang Y P[J]. Phys. Rev. Lett., 110, 176403(2013).

    [39] Hegde S S, Vishveshwara S[J]. Phys. Rev. Lett., 94, 115166(2016).

    [40] DeGottardi W, Thakurathi M, Vishveshwara S, Sen D[J]. Phys. Rev. B, 88, 165111(2013).

    [41] Wakatsuki R, Ezawa M, Tanaka Y, Nagaosa N[J]. Phys. Rev. B, 90, 014505(2014).

    [42] Lang L J, Cai X M, Chen S[J]. Phys. Rev. Lett., 108, 220401(2012).

    [43] Aubry S, André G[J]. Ann. Isr. Phys. Soc., 3, 133(1980).

    [44] Ganeshan S, Pixley J H, Sarma S D[J]. Phys. Rev. Lett, 114, 146601(2015).

    [45] Sen A, Damle K, Moessner R[J]. Phys. Rev. B, 86, 205134(2012).

    [46] Zhu J X[J]. Bogoliubov-de Gennes Method and Its Applications, 3(2016).

    [47] [J]. Superconductivity of Metals and Alloys, 137-160(1999).

    [48] Lieb E, Schultz T, Mattis D[J]. Ann. Phys., 16, 407(1961).

    [49] Kraus Y E, Lahini Y, Ringel Z, Verbin M, Zliberberg O[J]. Phys. Rev. Lett., 109, 106402(2012).

    [50] Hofstadter D R[J]. Phys. Rev. B, 14, 2239(1976).

    [51] Zhou B, Shen S Q[J]. Phys. Rev. B, 84, 054532(2011).

    [52] Liu T, Yan H Y, Guo H[J]. Phys. Rev. B, 96, 174207(2017).

    [53] Akhmerov A R, Dahlhaus J P, Hassler F, Wimmer M, Beenakker C W J[J]. Phys. Rev. Lett., 106, 057001(2011).

    [54] Fulga I C, Hassler F, Akhmerov A R, Beenakker C W J[J]. Phys. Rev. B, 83, 155429(2011).

    [55] Snyman I, Tworzydlo J, Beenakker C W J[J]. Phys. Rev. B, 78, 045118(2008).

    [56] Choy T P, Edge J M, Akhmerov A R, Beenakker C W J[J]. Phys. Rev. B, 84, 195442(2011).

    [57] Thouless D J[J]. Phys. Rep., 13, 93(1974).

    [58] Kohmoto M[J]. Phys. Rev. Lett., 51, 1198(1983).

    [59] Schreiber M[J]. J. Phys. C, 18, 2493(1985).

    [60] Hashimoto Y, Niizeki K, Okabe Y[J]. J. Phys. A, 25, 5211(1992).

    [61] Ingolda G L, Wobst A, Aulbach Ch, Hanggi P[J]. Eur. Phys. J. B, 30, 175(2002).

    Tools

    Get Citation

    Copy Citation Text

    Jing-Nan Wu, Zhi-Hao Xu, Zhan-Peng Lu, Yun-Bo Zhang. Topological quantum phase transitions in one-dimensional p-wave superconductors with modulated chemical potentials[J]. Acta Physica Sinica, 2020, 69(7): 070302-1

    Download Citation

    EndNote(RIS)BibTexPlain Text
    Set citation alerts for article
    Save article for my favorites
    Paper Information

    Category:

    Received: Dec. 10, 2019

    Accepted: --

    Published Online: Nov. 20, 2020

    The Author Email:

    DOI:10.7498/aps.69.20191868

    Topics

    Nuclear physics
    Particles and fields
    Particle and nuclear astrophysics and cosmology