Quick search Find article
Quick search
Find article

The mesoscopic conductance of disordered rings, its random matrix theory and the generalized variable range hopping picture

FREE ARTICLE

Alexander Stotland1, Rangga Budoyo2, Tal Peer1, Tsampikos Kottos2 and Doron Cohen1

Show affiliations


[1]
The first studies have addressed mainly the Debye regime: Büttiker M, Imry Y and Landauer R 1983 Phys. Lett. A 96 365
CrossRef 
 
Landauer R and Büttiker M 1985 Phys. Rev. Lett. 54 2049
CrossRef  PubMed 
 
Büttiker M 1985 Phys. Rev. B 32 1846
CrossRef 
 
Büttiker M 1986 Ann. New York Acad. Sci. 480 194
CrossRef 
[2]
The Kubo formula is applied to diffusive rings in: Imry Y and Shiren N S 1986 Phys. Rev. B 33 7992
CrossRef 
 
Trivedi N and Browne D A 1988 Phys. Rev. B 38 9581
CrossRef 
[3]
Weak localization corrections were studied in: Reulet B and Bouchiat H 1994 Phys. Rev. B 50 2259
CrossRef 
 
Kamenev A, Reulet B, Bouchiat H and Gefen Y 1994 Europhys. Lett. 28 391
IOPscience 
[4]
For a review, see: Kamenev A and Gefen Y 1995 (Almost) everything you always wanted to know about the conductance of mesoscopic systems Int. J. Mod. Phys. B 9 751
CrossRef 
[5]
Measurements of conductance of closed diffusive rings are described by: Ramin M, Reulet B, Bouchiat H and Mailly D 1995 Phys. Rev. Lett. 75 124
CrossRef  PubMed 
[6]
Measurements of susceptibility of individual closed rings using SQUID is described in: Koshnick N C, Bluhm H, Huber M E and Moler K A 2007 Science 318 1440
CrossRef  PubMed 
[7]
A new micromechanical cantilevers technique for measuring currents in normal metal rings is described in: Bleszynski-Jayich A C, Shanks W E, Ilic R and Harris J G E 2007 Preprint 0710.5259
Preprint 
[8]
Cohen D 2007 Phys. Rev. B 75 125316
CrossRef 
[9]
Cohen D, Kottos T and Schanz H 2006 J. Phys. A: Math. Gen. 39 11755
IOPscience 
[10]
Bandopadhyay S, Etzioni Y and Cohen D 2006 Europhys. Lett. 76 739
IOPscience 
[11]
Wilkinson M, Mehlig B and Cohen D 2006 Europhys. Lett. 75 709
IOPscience 
[12]
Mott N F 1970 Phil. Mag. 22 7
CrossRef 
 
Mott N F and Davis E A 1971 Electronic Processes in Non-crystalline Materials (Oxford: Clarendon)

[13]
Miller A and Abrahams E 1960 Phys. Rev. 120 745
CrossRef 
[14]
Ambegaokar V, Halperin B and Langer J S 1971 Phys. Rev. B 4 2612
CrossRef 
[15]
Pollak M 1972 J. Non-Cryst. Solids 11 1
CrossRef 
[16]
For review, see: Stone D and Szafer A http://www.research.ibm.com/journal/rd/323/ibmrd3203I.pdf

[17]
Wobst A, Ingold G L, Hanggi P and Weinmann D 2003 Phys. Rev. B 68 085103
CrossRef 
[18]
Wigner E 1955 Ann. Math. 62 548
CrossRef 
 
Wigner E 1957 Ann. Math. 65 203
CrossRef 
[19]
Bohigas O 1991 Chaos and quantum physics Proc. Session LII of the Les-Houches Summer School ed A Voros and M-J Giannoni (Amsterdam: North-Holland)

[20]
For deviation from Gaussian distributions see: Prosen T and Robnik M 1993 J. Phys. A: Math. Gen. 26 L319
IOPscience 
 
Austin E J and Wilkinson M 1992 Europhys. Lett. 20 589
IOPscience 
 
Alhassid Y and Levine R D 1986 Phys. Rev. Lett. 57 2879
CrossRef  PubMed 
[21]
Fyodorov Y V, Chubykalo O A, Izrailev F M and Casati G 1996 Phys. Rev. Lett. 76 1603
CrossRef  PubMed 
[22]
Basko D M, Skvortsov M A and Kravtsov V E 2003 Phys. Rev. Lett. 90 096801
CrossRef  PubMed 
[23]
Foieri F, Arrachea L and Sanchez M J 2007 Phys. Rev. Lett. 99 266601
CrossRef  PubMed 
[24]
Cohen D and Kottos T 2000 Phys. Rev. Lett. 85 4839
CrossRef  PubMed 
[25]
Silva A and Kravtsov V E 2007 Phys. Rev. B 76 165303
CrossRef 
[26]
Silva A and Cohen D 2007 Private communication

crossref member

View by subject




Export








Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.