Capacitance of a resonant level coupled to Luttinger liquids

被引：12
作者：
Goldstein, Moshe [1 ]
Berkovits, Richard [1 ]
机构：
[1] Bar Ilan Univ, Dept Phys, Minerva Ctr, IL-52900 Ramat Gan, Israel
来源：
PHYSICAL REVIEW B | 2010年 / 82卷 / 16期
基金：
以色列科学基金会;
关键词：
DIMENSIONAL ELECTRON-GAS; TRANSMISSION; CIRCUIT;
D O I：
10.1103/PhysRevB.82.161307
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this Rapid Communication, we study the differential capacitance of a single-level quantum dot attached to quantum wires in the Luttinger-liquid phase or to fractional quantum-Hall edges, by both tunneling and interactions. We show that logarithmic or even power-law divergence of the capacitance at low temperatures may result in a substantial region of the parameter space (including the v=1/3 filling). This behavior is a manifestation of generalized two-channel Kondo physics and can be used to extract Luttinger-liquid parameters from thermodynamic measurements.
引用
收藏
页数：4
相关论文
共 40 条
[1]   Observation of quantum fluctuations of charge on a quantum dot [J].
Berman, D ;
Zhitenev, NB ;
Ashoori, RC ;
Shayegan, M .
PHYSICAL REVIEW LETTERS, 1999, 82 (01) :161-164
[2]  
BUTTIKER M, 1993, PHYS REV LETT, V70, P4114, DOI 10.1103/PhysRevLett.70.4114
[3]  
Cardy J. L, 1996, CAMBRIDGE LECT NOTES
[4]   Chiral Luttinger liquids at the fractional quantum Hall edge [J].
Chang, AM .
REVIEWS OF MODERN PHYSICS, 2003, 75 (04) :1449-1505
[5]   Exotic Kondo effects in metals: magnetic ions in a crystalline electric field and tunnelling centres [J].
Cox, DL ;
Zawadowski, A .
ADVANCES IN PHYSICS, 1998, 47 (05) :599-942
[6]   TOULOUSE LIMIT FOR THE OVERSCREENED 4-CHANNEL KONDO PROBLEM [J].
FABRIZIO, M ;
GOGOLIN, AO .
PHYSICAL REVIEW B, 1994, 50 (23) :17732-17735
[7]   INTERACTING ONE-DIMENSIONAL ELECTRON-GAS WITH OPEN BOUNDARIES [J].
FABRIZIO, M ;
GOGOLIN, AO .
PHYSICAL REVIEW B, 1995, 51 (24) :17827-17841
[8]   Exotic resonant level models in non-Abelian quantum Hall states coupled to quantum dots [J].
Fiete, Gregory A. ;
Bishara, Waheb ;
Nayak, Chetan .
PHYSICAL REVIEW B, 2010, 82 (03)
[9]   Multichannel Kondo Models in Non-Abelian Quantum Hall Droplets [J].
Fiete, Gregory A. ;
Bishara, Waheb ;
Nayak, Chetan .
PHYSICAL REVIEW LETTERS, 2008, 101 (17)
[10]   Occupation of a resonant level coupled to a chiral Luttinger liquid [J].
Furusaki, A ;
Matveev, KA .
PHYSICAL REVIEW LETTERS, 2002, 88 (22) :226404/1-226404/4
1234