马约拉纳费米子链的输运——Andreev反射
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摘要
采用非平衡格林函数理论,研究了马约拉纳费米子链的Andreev反射行为。数值结果表明,Andreev反射电导具有振荡带的特征,零电压电导率同链上马约拉纳费米子的宇称有严格的对应关系。我们给出了Andreev反射谱上共振点与反共振点同链上马约拉纳费米子数目的宇称之间的关系。
Using the Keldysh nonequilibrium Green function theory,we theoretically investigate the Andreev reflection of the Majorana fermion chain.The numberical results show that the Andreev reflection conductance develops an oscillating band,zero voltage conductance and the parity of Majorana numbers have a strict relationship.We established an explicit relation between the resonances and antiresonances of the Andreev reflection spectrum and the parity of the Majorana fermions.
Using the Keldysh nonequilibrium Green function theory,we theoretically investigate the Andreev reflection of the Majorana fermion chain.The numberical results show that the Andreev reflection conductance develops an oscillating band,zero voltage conductance and the parity of Majorana numbers have a strict relationship.We established an explicit relation between the resonances and antiresonances of the Andreev reflection spectrum and the parity of the Majorana fermions.
引文
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[2]Wilczek F.Majorana returns[J].Nature Phys,2009,5:614.
[3]Read N,Green D.Paired States of Fermions in Two Dimensions with Breaking of Parity and Time-reversal Symmetries and the Fractional Quantum Hall Effect[J].Phys Rev B,2000,61:10267.
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[5]Tewari S,Das Sarma S,Nayak C,et al.Quantum Computation Using Vortices and Majorana Zero Modes of a px+ipySuperfluid of Fermionic Cold Atoms[J].Phys Rev Lett,2007,98:010506.
[6]Fu L,Kane C L.Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator[J].Phys Rev Lett,2008,100:096407.
[7]Sau J D,Tewari S,Das Sarma S.Experimental and Material Considerations for the Topological Superconducting State in Electron-and Hole-doped Semiconductors:Searching for Non-Abelian Majorana Modes in 1D Nanowires and 2D Heterostructures[J].Phys Rev B,2012,85:064512.
[8]Liu D E,Baranger H U.Detecting a Majorana-fermion Zero Mode Using a Quantum Dot[J].Phys Rev B,2011,84:201308(R).
[9]Zhou Y,Wu M W.Majorana Fermions in T-shaped Semiconductor Nanostructures[J].J Phys Condens Matter,2014,26:065801.
[10]Shang E M,Pan Y M,Shao L B,et al.Detection of Majorana Fermions in an Aharonov-Bohm Interferometer[J].Chin Phys B,2014,23:057201.
[11]Deng M T,Yu C L,Huang G Y,et al.Anomalous Zero-Bias Conductance Peak in a Nb/InSb Nanowire Nb Hybrid Device[J].Nano Lett,2012,12:6414.
[12]Lv H F,Lu H Z,Shen S Q.Current Noise Cross Correlation Mediated by Majorana Bound States[J].Phys Rev B,2014,90:195404.
[13]Li Z Z,Lam C H,You J Q.Probing Majorana Bound States Via Counting Statistics of a Single Electron Transistor[J].Sci Rep,2015,5:11416.
[14]Wang N,Lv S H,Li Y X.Quantum Transport Through the System of Parallel Quantum Dots with Majorana Bound States[J].J Appl Phys,2014,115:083706.
[15]Li Y X,Bai Z M.Tunneling Transport Through Multi-quantum-dot with Majorana Bound States[J].J Appl Phys,2013,114:033703.
[16]Gong W J,Zhang S F,Li Z C,et al.Detection of a Majorana Fermion Zero Mode by a T-shaped Quantum-dot Structure[J].Phys Rev B,2014,89:245413.
[17]Jiang C,Gong W J,Zheng Y S.Transport Properties of Paired Majorana Bound States in a Parallel Junction[J].J Appl Phys,2013,114:243708.
[18]Meil Y,Wingreen N S.Landauer Formula for the Current through an Interacting Electron Region[J].Phys Rev Lett,1992,68:2512.
[19]Liu J,Wang J,Zhang F C.Controllable Nonlocal Transport of Majorana Fermions with the Aid of Two Quantum Dots[J].Phys Rev B,2014,90:035307.
[20]Law K T,Patrick A Lee,Ng T K.Majorana Fermion Induced Resonant Andreev Reflection[J].Phys Rev Lett,2009,103:237001.