Fractionalized wave packets from an artificial Tomonaga-Luttinger liquid

Nature Nanotechnology

Volumn 9, Issue 3, 2014, Pages 177-181

  Kamata, H ^a   Kumada, N ^b   Hashisaka, M ^a   Muraki, K ^b   Fujisawa, T ^a  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

^b Kashino Diverse Brain Research Laboratory of NTT Communication Science Laboratories   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRON TUNNELING; WAVE PACKETS;

ELECTRONIC TRANSPORT; INTERACTING FERMIONS; LOW-ENERGY EXCITATIONS; ONE-DIMENSIONAL CONDUCTORS; QUANTUM-HALL EDGE CHANNELS; THEORETICAL FRAMEWORK; TOMONAGA LUTTINGER LIQUID; TRANSPORT MEASUREMENTS;

QUANTUM CHEMISTRY;

LEAD;

A WAVE; ARTICLE; CONCEPTUAL FRAMEWORK; CONTROLLED STUDY; ENERGY; EXCITATION; LAW; LIQUID; MEASUREMENT; PRIORITY JOURNAL; QUANTUM MECHANICS; SEMICONDUCTOR; SURFACE CHARGE; TOMONAGA LUTTINGER LIQUID;

EID: 84895928677     PISSN: 17483387     EISSN: 17483395     Source Type: Journal    
DOI: 10.1038/nnano.2013.312     Document Type: Article

References (27)

1. Tomonaga, S. Remarks on Bloch's method of sound waves applied to manyfermion problems. Prog. Theor. Phys. 5, 544-569 (1950
2. Luttinger, J. M. An exactly soluble model of a many-fermion system. J. Math. Phys. 4, 1154-1162 (1963
3. Tarucha, S., Honda, T. & Saku, T. Reduction of quantized conductance at low temperatures observed in 2 to 10 mm-long quantum wires. Solid State Commun. 94, 413-418 (1995
4. Bockrath, M. et al. Luttinger-liquid behaviour in carbon nanotubes. Nature 397, 598-601 (1999
5. Grayson, M., Tsui, D. C., Pfeiffer, L. N.,West, K.W. & Chang, A. M. Continuum of chiral Luttinger liquids at the fractional quantum Hall edge. Phys. Rev. Lett. 80, 1062-1065 (1998
6. Safi, I. & Schulz, H. J. Transport in an inhomogeneous interacting onedimensional system. Phys. Rev. B 52, R17040-R17043 (1995
7. Pham, K-V., Gabay, M. & Lederer, P. Fractional excitations in the Luttinger liquid. Phys. Rev. B 61, 16397-16422 (2000
8. Imura, K-I., Pham, K-V., Lederer, P. & Piéchon, F. Conductance of onedimensional quantum wires. Phys. Rev. B 66, 035313 (2002
9. Kamata, H., Ota, T., Muraki, K. & Fujisawa, T. Voltage-controlled group velocity of edge magnetoplasmon in the quantum Hall regime. Phys. Rev. B 81, 085329 (2010
10. Berg, E., Oreg, Y., Kim, E-A. & von Oppen, F. Fractional charges on an integer quantum Hall edge. Phys. Rev. Lett. 102, 236402 (2009
11. Venkatachalam, V., Hart, S., Pfeiffer, L., West, K. & Yacoby, A. Local thermometry of neutral modes on the quantum Hall edge. Nature Phys. 8, 676-681 (2012
12. Van Wees, B. J. et al. Quantized conductance of point contacts in a twodimensional electron gas. Phys. Rev. Lett. 60, 848-850 (1988
13. Kane, C. L. & Fisher, M. P. A. Transport in a one-channel Luttinger liquid. Phys. Rev. Lett. 68, 1220-1223 (1992
14. Chang, A. M. Chiral Luttinger liquids at the fractional quantum Hall edge. Rev. Mod. Phys. 75, 1449-1505 (2003
15. Steinberg, H. et al. Charge fractionalization in quantum wires. Nature Phys. 4, 116-119 (2008
16. Ashoori, R. C., Stormer, H. L., Pfeiffer, L. N., Baldwin, K. W. & West, K. Edge magnetoplasmons in the time domain. Phys. Rev. B 45, 3894-3897 (1992
17. Fetter, A. L. Edge magnetoplasmons in a bounded two-dimensional electron fluid. Phys. Rev B 32, 7676-7684 (1985
18. Volkov, V. A. & Mikhailov, S. A. Edge magnetoplasmons: Low frequency weakly damped excitations in inhomogeneous two-dimensional electron systems. Sov. Phys. JETP 67, 1639-1653 (1988
19. Talyanskii, V. I. et al. Spectroscopy of a two-dimensional electron gas in the quantum-Hall-effect regime by use of low-frequency edge magnetoplasmons. Phys. Rev. B 46, 12427-12432 (1992
20. Hashisaka, M. et al. Distributed-element circuit model of edge magnetoplasmon transport. Phys. Rev. B 88, 235409 (2013
21. Chklovskii, D. B., Shklovskii, B. I. & Glazman, L. I. Electrostatics of edge channels. Phys. Rev. B 46, 4026-4034 (1992
22. Kumada, N., Kamata, H. & Fujisawa, T. Edge magnetoplasmon transport in gated and ungated quantum Hall systems. Phys. Rev. B 84, 045314 (2011
23. Lee, H. C. & Yang, S.-R. E. Spin-charge separation in quantum Hall edge liquids. Phys. Rev. B 56, R15529-R15532 (1997
24. Bocquillon, E. et al. Separation of neutral and charge modes in one-dimensional chiral edge channels. Nature Commun. 4, 1839 (2013
25. Roulleau, P. et al. Direct measurement of the coherence length of edge states in the integer quantum Hall regime. Phys. Rev. Lett. 100, 126802 (2008
26. Gabelli, J. et al. Relaxation time of a chiral quantum R-L circuit. Phys. Rev. Lett. 98, 166806 (2007
27. Larkin, I. A. & Davies, J. H. Edge of the two-dimensional electron gas in a gated heterostructure. Phys. Rev. B 52, R5535-R5538 (1995