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DC Field | Value | Language |
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dc.contributor.author | Savin, DV | - |
dc.contributor.author | Sommers, H-J | - |
dc.contributor.author | Wieczorek, W | - |
dc.date.accessioned | 2014-08-18T15:39:38Z | - |
dc.date.available | 2014-08-18T15:39:38Z | - |
dc.date.issued | 2008 | - |
dc.identifier.citation | Physical Review B, 77(12): Article no. 125332, 2008 | en_US |
dc.identifier.issn | 1098-0121 | - |
dc.identifier.uri | http://journals.aps.org/prb/abstract/10.1103/PhysRevB.77.125332 | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/8906 | - |
dc.description | Copyright © 2008 The American Physical Society. | en_US |
dc.description.abstract | In the framework of the random matrix approach, we apply the theory of Selberg’s integral to problems of quantum transport in chaotic cavities. All the moments of transmission eigenvalues are calculated analytically up to the fourth order. As a result, we derive exact explicit expressions for the skewness and kurtosis of the conductance and transmitted charge as well as for the variance of the shot-noise power in chaotic cavities. The obtained results are generally valid at arbitrary numbers of propagating channels in the two attached leads. In the particular limit of large (and equal) channel numbers, the shot-noise variance attends the universal value 1∕64β that determines a universal Gaussian statistics of shot-noise fluctuations in this case. | en_US |
dc.description.sponsorship | DFG and BRIEF. | en_US |
dc.language | English | - |
dc.language.iso | en | en_US |
dc.publisher | American Physical Society | en_US |
dc.subject | Matrix theory | en_US |
dc.subject | Selberg's integral | en_US |
dc.subject | Quantum transport | en_US |
dc.subject | Chaotic cavities | en_US |
dc.title | Nonlinear statistics of quantum transport in chaotic cavities | en_US |
dc.type | Article | en_US |
dc.identifier.doi | http://dx.doi.org/10.1103/PhysRevB.77.125332 | - |
pubs.organisational-data | /Brunel | - |
pubs.organisational-data | /Brunel/Brunel Staff by College/Department/Division | - |
pubs.organisational-data | /Brunel/Brunel Staff by College/Department/Division/College of Engineering, Design and Physical Sciences | - |
pubs.organisational-data | /Brunel/Brunel Staff by College/Department/Division/College of Engineering, Design and Physical Sciences/Dept of Mathematics | - |
pubs.organisational-data | /Brunel/Brunel Staff by College/Department/Division/College of Engineering, Design and Physical Sciences/Dept of Mathematics/Mathematical Sciences | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/Brunel Business School - URCs and Groups | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/Brunel Business School - URCs and Groups/Centre for Research into Entrepreneurship, International Business and Innovation in Emerging Markets | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/School of Health Sciences and Social Care - URCs and Groups | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/School of Health Sciences and Social Care - URCs and Groups/Brunel Institute for Ageing Studies | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/School of Health Sciences and Social Care - URCs and Groups/Brunel Institute of Cancer Genetics and Pharmacogenomics | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/School of Health Sciences and Social Care - URCs and Groups/Centre for Systems and Synthetic Biology | - |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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