Junctions of one-dimensional quantum wires:: Correlation effects in transport -: art. no. 205327

被引:44
作者
Barnabé-Thériault, X [1 ]
Sedeki, A [1 ]
Meden, V [1 ]
Schönhammer, K [1 ]
机构
[1] Univ Gottingen, Inst Theoret Phys, D-37077 Gottingen, Germany
关键词
D O I
10.1103/PhysRevB.71.205327
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We investigate transport of spinless fermions through a single site dot junction of M one-dimensional quantum wires. The semi-infinite wires are described by a tight-binding model. Each wire consists of two parts, the noninteracting leads and a region of finite extent in which the fermions interact via a nearest-neighbor interaction. The functional renormalization group method is used to determine the flow of the linear conductance as a function of a low-energy cutoff for a wide range of parameters. Several fixed points are identified and their stability is analyzed. We determine the scaling exponents governing the low-energy physics close to the fixed points. Some of our results can already be derived using the non-self-consistent Hartree-Fock approximation.
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页数:13
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共 35 条
[1]   Functional renormalization group for Luttinger liquids with impurities -: art. no. 075102 [J].
Andergassen, S ;
Enss, T ;
Meden, V ;
Metzner, W ;
Schollwöck, U ;
Schönhammer, K .
PHYSICAL REVIEW B, 2004, 70 (07) :075102-1
[2]   Junction of three quantum wires:: Restoring time-reversal symmetry by interaction -: art. no. 136405 [J].
Barnabé-Thériault, X ;
Sedeki, A ;
Meden, V ;
Schönhammer, K .
PHYSICAL REVIEW LETTERS, 2005, 94 (13)
[3]   Junctions of three quantum wires and the dissipative Hofstadter model [J].
Chamon, C ;
Oshikawa, M ;
Affleck, I .
PHYSICAL REVIEW LETTERS, 2003, 91 (20) :1-206403
[4]   Landauer-type transport theory for interacting quantum wires: Application to carbon nanotube Y junctions [J].
Chen, S ;
Trauzettel, B ;
Egger, R .
PHYSICAL REVIEW LETTERS, 2002, 89 (22)
[5]   Renormalization group study of the conductances of interacting quantum wire systems with different geometries [J].
Das, S ;
Rao, S ;
Sen, D .
PHYSICAL REVIEW B, 2004, 70 (08) :085318-1
[6]   Impurity and correlation effects on transport in one-dimensional quantum wires -: art. no. 155401 [J].
Enss, T ;
Meden, V ;
Andergassen, S ;
Barnabé-Thériault, X ;
Metzner, W ;
Schönhammer, K .
PHYSICAL REVIEW B, 2005, 71 (15)
[7]   INTERACTING ONE-DIMENSIONAL ELECTRON-GAS WITH OPEN BOUNDARIES [J].
FABRIZIO, M ;
GOGOLIN, AO .
PHYSICAL REVIEW B, 1995, 51 (24) :17827-17841
[8]   EXACT CONDUCTANCE THROUGH POINT CONTACTS IN THE NU=1/3 FRACTIONAL QUANTUM HALL-EFFECT [J].
FENDLEY, P ;
LUDWIG, AWW ;
SALEUR, H .
PHYSICAL REVIEW LETTERS, 1995, 74 (15) :3005-3008
[9]   Crossed nanotube junctions [J].
Fuhrer, MS ;
Nygård, J ;
Shih, L ;
Forero, M ;
Yoon, YG ;
Mazzoni, MSC ;
Choi, HJ ;
Ihm, J ;
Louie, SG ;
Zettl, A ;
McEuen, PL .
SCIENCE, 2000, 288 (5465) :494-497
[10]   SINGLE-BARRIER PROBLEM AND ANDERSON LOCALIZATION IN A ONE-DIMENSIONAL INTERACTING ELECTRON-SYSTEM [J].
FURUSAKI, A ;
NAGAOSA, N .
PHYSICAL REVIEW B, 1993, 47 (08) :4631-4643