Disordered quantum transport in quantum anomalous Hall insulator-superconductor junctions

Zhang, Jian-Xiao; Liu, Chao-Xing

doi:10.1103/physrevb.102.144513

Disordered quantum transport in quantum anomalous Hall insulator-superconductor junctions

Journal Article · Thu Oct 15 00:00:00 EDT 2020 · Physical Review B

DOI:https://doi.org/10.1103/physrevb.102.144513· OSTI ID:1783179

Zhang, Jian-Xiao ^[1]; Liu, Chao-Xing ^[2]

Pennsylvania State Univ., University Park, PA (United States); Penn State University
Pennsylvania State Univ., University Park, PA (United States)

In this work we numerically studied disordered quantum transport in a quantum anomalous Hall insulator-superconductor junction based on the effective edge model approach. In particular, we focus on the parameter regime with the mean-free path due to elastic scattering much smaller than the sample size and superconductor coherence length, and discuss disordered transport behavior in the presence of different numbers of chiral edge modes, as well as nonchiral metallic modes. Our numerical results demonstrate that the presence of multiple chiral edge modes or nonchiral metallic modes will lead to a strong Andreev conversion, giving rise to half-electron half-hole transmission through the junction structure, in sharp contrast to the suppression of Andreev conversion in the single chiral edge mode case. Finally, our results suggest the importance of additional transport modes in the quantum anomalous Hall insulator-superconductor junction and will guide future transport measurements.

View Accepted Manuscript (DOE)

Research Organization:: Pennsylvania State Univ., University Park, PA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0019064

OSTI ID:: 1783179

Journal Information:: Physical Review B, Journal Name: Physical Review B Journal Issue: 14 Vol. 102; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (60)

Non-Centrosymmetric Superconductors: Introduction and Overview Bauer, Ernst; Sigrist, Manfred Lecture Notes in Physics https://doi.org/10.1007/978-3-642-24624-1	book	January 2012
Random network models and quantum phase transitions in two dimensions Kramer, B.; Ohtsuki, T.; Kettemann, S. Physics Reports, Vol. 417, Issue 5-6 https://doi.org/10.1016/j.physrep.2005.07.001	journal	October 2005
Quantum Hall Effect in Graphene with Superconducting Electrodes Rickhaus, Peter; Weiss, Markus; Marot, Laurent Nano Letters, Vol. 12, Issue 4 https://doi.org/10.1021/nl204415s	journal	January 2012
Induced superconductivity in high-mobility two-dimensional electron gas in gallium arsenide heterostructures Wan, Zhong; Kazakov, Aleksandr; Manfra, Michael J. Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms8426	journal	June 2015
Ballistic Josephson junctions in edge-contacted graphene Calado, V. E.; Goswami, S.; Nanda, G. Nature Nanotechnology, Vol. 10, Issue 9 https://doi.org/10.1038/nnano.2015.156	journal	July 2015
Non-Abelian statistics and topological quantum information processing in 1D wire networks Alicea, Jason; Oreg, Yuval; Refael, Gil Nature Physics, Vol. 7, Issue 5 https://doi.org/10.1038/nphys1915	journal	February 2011
Exotic circuit elements from zero-modes in hybrid superconductor–quantum-Hall systems Clarke, David J.; Alicea, Jason; Shtengel, Kirill Nature Physics, Vol. 10, Issue 11 https://doi.org/10.1038/nphys3114	journal	October 2014
Inducing superconducting correlation in quantum Hall edge states Lee, Gil-Ho; Huang, Ko-Fan; Efetov, Dmitri K. Nature Physics, Vol. 13, Issue 7 https://doi.org/10.1038/nphys4084	journal	April 2017
Andreev reflection and enhanced subgap conductance in NbN∕Au∕InGaAs‐InP junctions Batov, I. E.; Schäpers, Th.; Golubov, A. A. Journal of Applied Physics, Vol. 96, Issue 6 https://doi.org/10.1063/1.1783612	journal	September 2004
Josephson supercurrent in Nb/InN-nanowire/Nb junctions Frielinghaus, R.; Batov, I. E.; Weides, M. Applied Physics Letters, Vol. 96, Issue 13 https://doi.org/10.1063/1.3377897	journal	March 2010
New directions in the pursuit of Majorana fermions in solid state systems Alicea, Jason Reports on Progress in Physics, Vol. 75, Issue 7 https://doi.org/10.1088/0034-4885/75/7/076501	journal	June 2012
Quantum transport through a graphene nanoribbon–superconductor junction Sun, Qing-feng; Xie, X. C. Journal of Physics: Condensed Matter, Vol. 21, Issue 34 https://doi.org/10.1088/0953-8984/21/34/344204	journal	July 2009
Single-walled carbon nanotube superconductor entangler: noise correlations and Einstein Podolsky Rosen states Bouchiat, V.; Chtchelkatchev, N.; Feinberg, D. Nanotechnology, Vol. 14, Issue 1 https://doi.org/10.1088/0957-4484/14/1/318	journal	December 2002
Tunneling Model of the Superconducting Proximity Effect McMillan, W. L. Physical Review, Vol. 175, Issue 2 https://doi.org/10.1103/PhysRev.175.537	journal	November 1968
Superconductor–normal-metal–superconductor junction in a strong magnetic field Zyuzin, A. Yu. Physical Review B, Vol. 50, Issue 1 https://doi.org/10.1103/PhysRevB.50.323	journal	July 1994
Transport properties of semiconductor-superconductor junctions in quantizing magnetic fields Takagaki, Y. Physical Review B, Vol. 57, Issue 7 https://doi.org/10.1103/PhysRevB.57.4009	journal	February 1998
Conductance fluctuations of semiconductor-superconductor microjunctions in the quantum Hall regime Takagaki, Y.; Ploog, K. H. Physical Review B, Vol. 58, Issue 11 https://doi.org/10.1103/PhysRevB.58.7162	journal	September 1998
Andreev reflection at high magnetic fields Moore, T. D.; Williams, D. A. Physical Review B, Vol. 59, Issue 11 https://doi.org/10.1103/PhysRevB.59.7308	journal	March 1999
Thermal metal in network models of a disordered two-dimensional superconductor Chalker, J. T.; Read, N.; Kagalovsky, V. Physical Review B, Vol. 65, Issue 1 https://doi.org/10.1103/PhysRevB.65.012506	journal	December 2001
Conductance oscillations with magnetic field of a two-dimensional electron gas–superconductor junction Chtchelkatchev, N. M.; Burmistrov, I. S. Physical Review B, Vol. 75, Issue 21 https://doi.org/10.1103/PhysRevB.75.214510	journal	June 2007
Andreev reflection and strongly enhanced magnetoresistance oscillations in Ga x In 1 − x As ∕ In P heterostructures with superconducting contacts Batov, Igor E.; Schäpers, Thomas; Chtchelkatchev, Nikolai M. Physical Review B, Vol. 76, Issue 11 https://doi.org/10.1103/PhysRevB.76.115313	journal	September 2007
Josephson current and noise at a superconductor/quantum-spin-Hall-insulator/superconductor junction Fu, Liang; Kane, C. L. Physical Review B, Vol. 79, Issue 16 https://doi.org/10.1103/PhysRevB.79.161408	journal	April 2009
Proximity effect at the superconductor–topological insulator interface Stanescu, Tudor D.; Sau, Jay D.; Lutchyn, Roman M. Physical Review B, Vol. 81, Issue 24 https://doi.org/10.1103/PhysRevB.81.241310	journal	June 2010
Robustness of Majorana fermions in proximity-induced superconductors Sau, Jay D.; Lutchyn, Roman M.; Tewari, Sumanta Physical Review B, Vol. 82, Issue 9 https://doi.org/10.1103/PhysRevB.82.094522	journal	September 2010
Chiral topological superconductor from the quantum Hall state Qi, Xiao-Liang; Hughes, Taylor L.; Zhang, Shou-Cheng Physical Review B, Vol. 82, Issue 18 https://doi.org/10.1103/PhysRevB.82.184516	journal	November 2010
Spin-triplet supercurrent carried by quantum Hall edge states through a Josephson junction van Ostaay, J. A. M.; Akhmerov, A. R.; Beenakker, C. W. J. Physical Review B, Vol. 83, Issue 19 https://doi.org/10.1103/PhysRevB.83.195441	journal	May 2011
Topological superconducting phase and Majorana fermions in half-metal/superconductor heterostructures Chung, Suk Bum; Zhang, Hai-Jun; Qi, Xiao-Liang Physical Review B, Vol. 84, Issue 6 https://doi.org/10.1103/PhysRevB.84.060510	journal	August 2011
Proximity-induced superconductivity in two-dimensional electronic systems Kopnin, N. B.; Melnikov, A. S. Physical Review B, Vol. 84, Issue 6 https://doi.org/10.1103/PhysRevB.84.064524	journal	August 2011
Instability of topological order and localization of edge states in HgTe quantum wells coupled to s -wave superconductor Khaymovich, I. M.; Chtchelkatchev, N. M.; Vinokur, V. M. Physical Review B, Vol. 84, Issue 7 https://doi.org/10.1103/PhysRevB.84.075142	journal	August 2011
Andreev magnetointerferometry in topological hybrid junctions Carmier, Pierre Physical Review B, Vol. 88, Issue 16 https://doi.org/10.1103/PhysRevB.88.165415	journal	October 2013
Edge-state-induced Andreev oscillation in quantum anomalous Hall insulator-superconductor junctions Lian, Biao; Wang, Jing; Zhang, Shou-Cheng Physical Review B, Vol. 93, Issue 16 https://doi.org/10.1103/PhysRevB.93.161401	journal	April 2016
Two-terminal transport along a proximity-induced superconducting quantum Hall edge Gamayun, Oleksandr; Hutasoit, Jimmy A.; Cheianov, Vadim V. Physical Review B, Vol. 96, Issue 24 https://doi.org/10.1103/PhysRevB.96.241104	journal	December 2017
Quantum anomalous Hall Majorana platform Zeng, Yongxin; Lei, Chao; Chaudhary, Gaurav Physical Review B, Vol. 97, Issue 8 https://doi.org/10.1103/PhysRevB.97.081102	journal	February 2018
Disorder-induced half-integer quantized conductance plateau in quantum anomalous Hall insulator-superconductor structures Huang, Yingyi; Setiawan, F.; Sau, Jay D. Physical Review B, Vol. 97, Issue 10 https://doi.org/10.1103/PhysRevB.97.100501	journal	March 2018
Quasi-one-dimensional quantum anomalous Hall systems as new platforms for scalable topological quantum computation Chen, Chui-Zhen; Xie, Ying-Ming; Liu, Jie Physical Review B, Vol. 97, Issue 10 https://doi.org/10.1103/PhysRevB.97.104504	journal	March 2018
Quantum phase transition of chiral Majorana fermions in the presence of disorder Lian, Biao; Wang, Jing; Sun, Xiao-Qi Physical Review B, Vol. 97, Issue 12 https://doi.org/10.1103/PhysRevB.97.125408	journal	March 2018
Distribution of conductances in chiral topological superconductor junctions Lian, Biao; Wang, Jing Physical Review B, Vol. 99, Issue 4 https://doi.org/10.1103/PhysRevB.99.041404	journal	January 2019
Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator Fu, Liang; Kane, C. L. Physical Review Letters, Vol. 100, Issue 9 https://doi.org/10.1103/PhysRevLett.100.096407	journal	March 2008
Crossed Andreev Reflection in a Graphene Bipolar Transistor Cayssol, J. Physical Review Letters, Vol. 100, Issue 14 https://doi.org/10.1103/PhysRevLett.100.147001	journal	April 2008
Anomalous Edge Transport in the Quantum Anomalous Hall State Wang, Jing; Lian, Biao; Zhang, Haijun Physical Review Letters, Vol. 111, Issue 8 https://doi.org/10.1103/PhysRevLett.111.086803	journal	August 2013
Zero-Field Dissipationless Chiral Edge Transport and the Nature of Dissipation in the Quantum Anomalous Hall State Chang, Cui-Zu; Zhao, Weiwei; Kim, Duk Y. Physical Review Letters, Vol. 115, Issue 5 https://doi.org/10.1103/PhysRevLett.115.057206	journal	July 2015
Majorana Zero Mode Detected with Spin Selective Andreev Reflection in the Vortex of a Topological Superconductor Sun, Hao-Hua; Zhang, Kai-Wen; Hu, Lun-Hui Physical Review Letters, Vol. 116, Issue 25 https://doi.org/10.1103/PhysRevLett.116.257003	journal	June 2016
1 2 ( e 2 / h ) Conductance Plateau without 1D Chiral Majorana Fermions Ji, Wenjie; Wen, Xiao-Gang Physical Review Letters, Vol. 120, Issue 10 https://doi.org/10.1103/PhysRevLett.120.107002	journal	March 2018
Inter-Landau-level Andreev Reflection at the Dirac Point in a Graphene Quantum Hall State Coupled to a NbSe 2 Superconductor Sahu, Manas Ranjan; Liu, Xin; Paul, Arup Kumar Physical Review Letters, Vol. 121, Issue 8 https://doi.org/10.1103/PhysRevLett.121.086809	journal	August 2018
Multiple Chiral Majorana Fermion Modes and Quantum Transport Wang, Jing; Lian, Biao Physical Review Letters, Vol. 121, Issue 25 https://doi.org/10.1103/PhysRevLett.121.256801	journal	December 2018
Observation of Maximum Supercurrent Quantization in a Superconducting Quantum Point Contact Takayanagi, Hideaki; Akazaki, Tatsushi; Nitta, Junsaku Physical Review Letters, Vol. 75, Issue 19 https://doi.org/10.1103/PhysRevLett.75.3533	journal	November 1995
Andreev Reflection in Strong Magnetic Fields Hoppe, H.; Zülicke, U.; Schön, Gerd Physical Review Letters, Vol. 84, Issue 8 https://doi.org/10.1103/PhysRevLett.84.1804	journal	February 2000
Superconducting 2D System with Lifted Spin Degeneracy: Mixed Singlet-Triplet State Gor'kov, Lev P.; Rashba, Emmanuel I. Physical Review Letters, Vol. 87, Issue 3 https://doi.org/10.1103/PhysRevLett.87.037004	journal	July 2001
Superconductivity without Inversion Symmetry: MnSi versus C e P t 3 S i Frigeri, P. A.; Agterberg, D. F.; Koga, A. Physical Review Letters, Vol. 92, Issue 9 https://doi.org/10.1103/PhysRevLett.92.097001	journal	March 2004
Andreev Reflection at High Magnetic Fields: Evidence for Electron and Hole Transport in Edge States Eroms, J.; Weiss, D.; Boeck, J. De Physical Review Letters, Vol. 95, Issue 10 https://doi.org/10.1103/PhysRevLett.95.107001	journal	August 2005
Detection of Valley Polarization in Graphene by a Superconducting Contact Akhmerov, A. R.; Beenakker, C. W. J. Physical Review Letters, Vol. 98, Issue 15 https://doi.org/10.1103/PhysRevLett.98.157003	journal	April 2007
Fractionalizing Majorana Fermions: Non-Abelian Statistics on the Edges of Abelian Quantum Hall States Lindner, Netanel H.; Berg, Erez; Refael, Gil Physical Review X, Vol. 2, Issue 4 https://doi.org/10.1103/PhysRevX.2.041002	journal	October 2012
Universal Topological Quantum Computation from a Superconductor-Abelian Quantum Hall Heterostructure Mong, Roger S. K.; Clarke, David J.; Alicea, Jason Physical Review X, Vol. 4, Issue 1 https://doi.org/10.1103/PhysRevX.4.011036	journal	March 2014
Superconducting Analogue of the Parafermion Fractional Quantum Hall States Vaezi, Abolhassan Physical Review X, Vol. 4, Issue 3 https://doi.org/10.1103/PhysRevX.4.031009	journal	July 2014
Non-Abelian anyons and topological quantum computation Nayak, Chetan; Simon, Steven H.; Stern, Ady Reviews of Modern Physics, Vol. 80, Issue 3 https://doi.org/10.1103/RevModPhys.80.1083	journal	September 2008
Supercurrent in the quantum Hall regime Amet, F.; Ke, C. T.; Borzenets, I. V. Science, Vol. 352, Issue 6288 https://doi.org/10.1126/science.aad6203	journal	May 2016
Chiral Majorana fermion modes in a quantum anomalous Hall insulator–superconductor structure He, Qing Lin; Pan, Lei; Stern, Alexander L. Science, Vol. 357, Issue 6348 https://doi.org/10.1126/science.aag2792	journal	July 2017
Absence of evidence for chiral Majorana modes in quantum anomalous Hall-superconductor devices Kayyalha, Morteza; Xiao, Di; Zhang, Ruoxi Science, Vol. 367, Issue 6473 https://doi.org/10.1126/science.aax6361	journal	January 2020
Topological Phases with Parafermions: Theory and Blueprints Alicea, Jason; Fendley, Paul Annual Review of Condensed Matter Physics, Vol. 7, Issue 1 https://doi.org/10.1146/annurev-conmatphys-031115-011336	journal	March 2016
Andreev transport in two-dimensional normal-superconducting systems in strong magnetic fields Khaymovich, I. M.; Chtchelkatchev, N. M.; Shereshevskii, I. A. EPL (Europhysics Letters), Vol. 91, Issue 1 https://doi.org/10.1209/0295-5075/91/17005	journal	July 2010

Similar Records

Absence of evidence for chiral Majorana modes in quantum anomalous Hall-superconductor devices

Journal Article · Wed Jan 01 19:00:00 EST 2020 · Science · OSTI ID:1580806

Absence of evidence for chiral Majorana modes in quantum anomalous Hall-superconductor devices

Journal Article · Wed Jan 01 23:00:00 EST 2020 · Science · OSTI ID:1803543

Chiral topological superconductor and half-integer conductance plateau from quantum anomalous Hall plateau transition

Journal Article · Sun Aug 30 20:00:00 EDT 2015 · Physical Review. B, Condensed Matter and Materials Physics · OSTI ID:1326857

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY

Disordered quantum transport in quantum anomalous Hall insulator-superconductor junctions

Citation Formats

References (60)

Similar Records

Related Subjects