Charge and energy fractionalization mechanism in one-dimensional channels

被引：14

作者：

Acciai, Matteo ^{[1
,2
]}

Calzona, Alessio ^{[1
,2
,3
]}

Dolcetto, Giacomo ^{[3
]}

Schmidt, Thomas L. ^{[3
]}

Sassetti, Maura ^{[1
,2
]}

机构：

[1] Univ Genoa, Dipartimento Fis, Via Dodecaneso 33, I-16146 Genoa, Italy

[2] SPIN CNR, Via Dodecaneso 33, I-16146 Genoa, Italy

[3] Univ Luxembourg, Phys & Mat Sci Res Unit, L-1511 Luxembourg, Luxembourg

来源：

PHYSICAL REVIEW B | 2017年 / 96卷 / 07期

关键词：

TOMONAGA-LUTTINGER LIQUID; ELECTRON QUANTUM OPTICS; TOPOLOGICAL INSULATORS; COHERENT STATES; HANBURY-BROWN; MODEL; EDGE; BOSONIZATION; EXCITATIONS; SEPARATION;

D O I：

10.1103/PhysRevB.96.075144

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We study the problem of injecting single electrons into interacting one-dimensional quantum systems, a fundamental building block for electron quantum optics. It is well known that such injection leads to charge and energy fractionalization. We elucidate this concept by calculating the nonequilibrium electron distribution function in the momentum and energy domains after the injection of an energy-resolved electron. Our results shed light on how fractionalization occurs via the creation of particle-hole pairs by the injected electron. In particular, we focus on systems with a pair of counterpropagating channels, and we fully analyze the properties of each chiral fractional excitation which is created by the injection. We suggest possible routes to access their energy and momentum distribution functions in topological quantum Hall or quantum spin-Hall edge states.

引用

页数：13

共 101 条

[1] Non-equilibrium edge-channel spectroscopy in the integer quantum Hall regime [J].

Altimiras, C. ;

le Sueur, H. ;

Gennser, U. ;

Cavanna, A. ;

Mailly, D. ;

Pierre, F. .

NATURE PHYSICS, 2010, 6 (01) :34-39

[2] INFRARED CATASTROPHE IN FERMI GASES WITH LOCAL SCATTERING POTENTIALS [J].

ANDERSON, PW .

PHYSICAL REVIEW LETTERS, 1967, 18 (24) :1049-&

[3] Tunneling Spectroscopy of the Elementary Excitations in a One-Dimensional Wire [J].

Auslaender, OM ;

Yacoby, A ;

de Picciotto, R ;

Baldwin, KW ;

Pfeiffer, LN ;

West, KW .

SCIENCE, 2002, 295 (5556) :825-828

[4] Interacting electrons in one dimension beyond the Luttinger-liquid limit [J].

Barak, Gilad ;

Steinberg, Hadar ;

Pfeiffer, Loren N. ;

West, Ken W. ;

Glazman, Leonid ;

von Oppen, Felix ;

Yacoby, Amir .

NATURE PHYSICS, 2010, 6 (07) :489-493

[5] Quantum spin Hall effect and topological phase transition in HgTe quantum wells [J].

Bernevig, B. Andrei ;

Hughes, Taylor L. ;

Zhang, Shou-Cheng .

SCIENCE, 2006, 314 (5806) :1757-1761

[6] Coherence and Indistinguishability of Single Electrons Emitted by Independent Sources [J].

Bocquillon, E. ;

Freulon, V. ;

Berroir, J. -M ;

Degiovanni, P. ;

Placais, B. ;

Cavanna, A. ;

Jin, Y. ;

Feve, G. .

SCIENCE, 2013, 339 (6123) :1054-1057

[7] Electron Quantum Optics: Partitioning Electrons One by One [J].

Bocquillon, E. ;

Parmentier, F. D. ;

Grenier, C. ;

Berroir, J. -M. ;

Degiovanni, P. ;

Glattli, D. C. ;

Placais, B. ;

Cavanna, A. ;

Jin, Y. ;

Feve, G. .

PHYSICAL REVIEW LETTERS, 2012, 108 (19)

[8] Electron quantum optics in ballistic chiral conductors [J].

Bocquillon, Erwann ;

Freulon, Vincent ;

Parmentier, Francois D. ;

Berroir, Jean-Marc ;

Placais, Bernard ;

Wahl, Claire ;

Rech, Jerome ;

Jonckheere, Thibaut ;

Martin, Thierry ;

Grenier, Charles ;

Ferraro, Dario ;

Degiovanni, Pascal ;

Feve, Gwendal .

ANNALEN DER PHYSIK, 2014, 526 (1-2) :1-30

[9] MESOSCOPIC CAPACITORS [J].

BUTTIKER, M ;

THOMAS, H ;

PRETRE, A .

PHYSICS LETTERS A, 1993, 180 (4-5) :364-369

[10] Transient dynamics of spin-polarized injection in helical Luttinger liquids [J].

Calzona, A. ;

Carrega, M. ;

Dolcetto, G. ;

Sassetti, M. .

PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2015, 74 :630-636

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