Observation of a Helical Luttinger Liquid in InAs / GaSb Quantum Spin Hall Edges

Li, Tingxin; Wang, Pengjie; Fu, Hailong; Du, Lingjie; Schreiber, Kate A.; Mu, Xiaoyang; Liu, Xiaoxue; Sullivan, Gerard; Csáthy, Gábor A.; Lin, Xi; Du, Rui-Rui

doi:10.1103/PhysRevLett.115.136804

Title: Observation of a Helical Luttinger Liquid in $InAs / GaSb$ Quantum Spin Hall Edges

Journal Article · 24 September 2015 · Physical Review Letters

DOI: https://doi.org/10.1103/PhysRevLett.115.136804 · OSTI ID:1224634

Li, Tingxin; Wang, Pengjie; Fu, Hailong; Du, Lingjie; Schreiber, Kate A.; Mu, Xiaoyang; Liu, Xiaoxue; Sullivan, Gerard; Csáthy, Gábor A.; Lin, Xi; Du, Rui-Rui

Not Available

View Accepted Manuscript (Publisher)

Cite

Export

Save

Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-06ER46274; SC0006671

OSTI ID:: 1224634

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 13 Vol. 115; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (34)

Luttinger-liquid behaviour in carbon nanotubes Bockrath, Marc; Cobden, David H.; Lu, Jia Nature, Vol. 397, Issue 6720 https://doi.org/10.1038/17569	journal	February 1999
Carbon nanotube intramolecular junctions Yao, Zhen; Postma, Henk W. Ch.; Balents, Leon Nature, Vol. 402, Issue 6759 https://doi.org/10.1038/46241	journal	November 1999
Integrated electronic transport and thermometry at milliKelvin temperatures and in strong magnetic fields Samkharadze, N.; Kumar, A.; Manfra, M. J. Review of Scientific Instruments, Vol. 82, Issue 5 https://doi.org/10.1063/1.3586766	journal	May 2011
'Luttinger liquid theory' of one-dimensional quantum fluids. I. Properties of the Luttinger model and their extension to the general 1D interacting spinless Fermi gas Haldane, F. D. M. Journal of Physics C: Solid State Physics, Vol. 14, Issue 19 https://doi.org/10.1088/0022-3719/14/19/010	journal	July 1981
Transport through dirty Luttinger liquids connected to reservoirs Maslov, Dmitrii L. Physical Review B, Vol. 52, Issue 20 https://doi.org/10.1103/PhysRevB.52.R14368	journal	November 1995
Stability of the quantum spin Hall effect: Effects of interactions, disorder, and Z 2 topology Xu, Cenke; Moore, J. E. Physical Review B, Vol. 73, Issue 4 https://doi.org/10.1103/PhysRevB.73.045322	journal	January 2006
Critical behavior of a point contact in a quantum spin Hall insulator Teo, Jeffrey C. Y.; Kane, C. L. Physical Review B, Vol. 79, Issue 23 https://doi.org/10.1103/PhysRevB.79.235321	journal	June 2009
Single and multiparticle scattering in helical liquid with an impurity Lezmy, Natalie; Oreg, Yuval; Berkooz, Micha Physical Review B, Vol. 85, Issue 23 https://doi.org/10.1103/PhysRevB.85.235304	journal	June 2012
Renormalization group approach for the scattering off a single Rashba impurity in a helical liquid Crépin, François; Budich, Jan Carl; Dolcini, Fabrizio Physical Review B, Vol. 86, Issue 12 https://doi.org/10.1103/PhysRevB.86.121106	journal	September 2012
Random Rashba spin-orbit coupling at the quantum spin Hall edge Geissler, Florian; Crépin, François; Trauzettel, Björn Physical Review B, Vol. 89, Issue 23 https://doi.org/10.1103/PhysRevB.89.235136	journal	June 2014
Conductivity of a generic helical liquid Kainaris, Nikolaos; Gornyi, Igor V.; Carr, Sam T. Physical Review B, Vol. 90, Issue 7 https://doi.org/10.1103/PhysRevB.90.075118	journal	August 2014
Resistance of helical edges formed in a semiconductor heterostructure Väyrynen, Jukka I.; Goldstein, Moshe; Gefen, Yuval Physical Review B, Vol. 90, Issue 11 https://doi.org/10.1103/PhysRevB.90.115309	journal	September 2014
Rashba coupling and magnetic order in correlated helical liquids Hohenadler, Martin; Assaad, Fakher F. Physical Review B, Vol. 90, Issue 24 https://doi.org/10.1103/PhysRevB.90.245148	journal	December 2014
Non-Abelian parafermions in time-reversal-invariant interacting helical systems Orth, Christoph P.; Tiwari, Rakesh P.; Meng, Tobias Physical Review B, Vol. 91, Issue 8 https://doi.org/10.1103/PhysRevB.91.081406	journal	February 2015
Depinning transition of bubble phases in a high Landau level Wang, Xuebin; Fu, Hailong; Du, Lingjie Physical Review B, Vol. 91, Issue 11 https://doi.org/10.1103/PhysRevB.91.115301	journal	March 2015
Quantum Spin Hall Effect in Inverted Type-II Semiconductors Liu, Chaoxing; Hughes, Taylor L.; Qi, Xiao-Liang Physical Review Letters, Vol. 100, Issue 23 https://doi.org/10.1103/PhysRevLett.100.236601	journal	June 2008
Corner Junction as a Probe of Helical Edge States Hou, Chang-Yu; Kim, Eun-Ah; Chamon, Claudio Physical Review Letters, Vol. 102, Issue 7 https://doi.org/10.1103/PhysRevLett.102.076602	journal	February 2009
Kondo Effect in the Helical Edge Liquid of the Quantum Spin Hall State Maciejko, Joseph; Liu, Chaoxing; Oreg, Yuval Physical Review Letters, Vol. 102, Issue 25 https://doi.org/10.1103/PhysRevLett.102.256803	journal	June 2009
Evidence for Helical Edge Modes in Inverted InAs / GaSb Quantum Wells Knez, Ivan; Du, Rui-Rui; Sullivan, Gerard Physical Review Letters, Vol. 107, Issue 13 https://doi.org/10.1103/PhysRevLett.107.136603	journal	September 2011
Inelastic Electron Backscattering in a Generic Helical Edge Channel Schmidt, Thomas L.; Rachel, Stephan; von Oppen, Felix Physical Review Letters, Vol. 108, Issue 15 https://doi.org/10.1103/PhysRevLett.108.156402	journal	April 2012
Images of Edge Current in InAs / GaSb Quantum Wells Spanton, Eric M.; Nowack, Katja C.; Du, Lingjie Physical Review Letters, Vol. 113, Issue 2 https://doi.org/10.1103/PhysRevLett.113.026804	journal	July 2014
Time-Reversal-Invariant Z 4 Fractional Josephson Effect Zhang, Fan; Kane, C. L. Physical Review Letters, Vol. 113, Issue 3 https://doi.org/10.1103/PhysRevLett.113.036401	journal	July 2014
Robust Helical Edge Transport in Gated InAs / GaSb Bilayers Du, Lingjie; Knez, Ivan; Sullivan, Gerard Physical Review Letters, Vol. 114, Issue 9 https://doi.org/10.1103/PhysRevLett.114.096802	journal	March 2015
Transport in a one-channel Luttinger liquid Kane, C. L.; Fisher, Matthew P. A. Physical Review Letters, Vol. 68, Issue 8 https://doi.org/10.1103/PhysRevLett.68.1220	journal	February 1992
Kondo effect in a Tomonaga-Luttinger liquid Furusaki, Akira; Nagaosa, Naoto Physical Review Letters, Vol. 72, Issue 6 https://doi.org/10.1103/PhysRevLett.72.892	journal	February 1994
Observation of Chiral Luttinger Behavior in Electron Tunneling into Fractional Quantum Hall Edges Chang, A. M.; Pfeiffer, L. N.; West, K. W. Physical Review Letters, Vol. 77, Issue 12 https://doi.org/10.1103/PhysRevLett.77.2538	journal	September 1996
Nonuniversal Conductance Quantization in Quantum Wires Yacoby, A.; Stormer, H. L.; Wingreen, Ned S. Physical Review Letters, Vol. 77, Issue 22 https://doi.org/10.1103/PhysRevLett.77.4612	journal	November 1996
Evidence for Luttinger-Liquid Behavior in Crossed Metallic Single-Wall Nanotubes Gao, B.; Komnik, A.; Egger, R. Physical Review Letters, Vol. 92, Issue 21 https://doi.org/10.1103/PhysRevLett.92.216804	journal	May 2004
Z2 Topological Order and the Quantum Spin Hall Effect Kane, C. L.; Mele, E. J. Physical Review Letters, Vol. 95, Issue 14, Article No. 146802 https://doi.org/10.1103/PhysRevLett.95.146802	journal	September 2005
Helical Liquid and the Edge of Quantum Spin Hall Systems Wu, Congjun; Bernevig, B. Andrei; Zhang, Shou-Cheng Physical Review Letters, Vol. 96, Issue 10 https://doi.org/10.1103/PhysRevLett.96.106401	journal	March 2006
Luttinger-Liquid Behavior in Weakly Disordered Quantum Wires Levy, E.; Tsukernik, A.; Karpovski, M. Physical Review Letters, Vol. 97, Issue 19 https://doi.org/10.1103/PhysRevLett.97.196802	journal	November 2006
Colloquium: Topological insulators Hasan, M. Z.; Kane, C. L. Reviews of Modern Physics, Vol. 82, Issue 4, p. 3045-3067 https://doi.org/10.1103/RevModPhys.82.3045	journal	November 2010
Topological insulators and superconductors Qi, Xiao-Liang; Zhang, Shou-Cheng Reviews of Modern Physics, Vol. 83, Issue 4 https://doi.org/10.1103/RevModPhys.83.1057	journal	October 2011
Quantum Spin Hall Insulator State in HgTe Quantum Wells Konig, M.; Wiedmann, S.; Brune, C. Science, Vol. 318, Issue 5851, p. 766-770 https://doi.org/10.1126/science.1148047	journal	November 2007