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Title: Nonequilibrium functional bosonization of quantum wire networks

Abstract

We develop a general approach to nonequilibrium nanostructures formed by one-dimensional channels coupled by tunnel junctions and/or by impurity scattering. The formalism is based on nonequilibrium version of functional bosonization. A central role in this approach is played by the Keldysh action that has a form reminiscent of the theory of full counting statistics. To proceed with evaluation of physical observables, we assume the weak-tunneling regime and develop a real-time instanton method. A detailed exposition of the formalism is supplemented by two important applications: (i) tunneling into a biased Luttinger liquid with an impurity, and (ii) quantum Hall Fabry-Perot interferometry. - Highlights: Black-Right-Pointing-Pointer A nonequilibrium functional bosonization framework for quantum wire networks is developed Black-Right-Pointing-Pointer For the study of observables in the weak tunneling regime a real-time instanton method is elaborated. Black-Right-Pointing-Pointer We consider tunneling into a biased Luttinger liquid with an impurity. Black-Right-Pointing-Pointer We analyze electronic Fabry-Perot interferometers in the integer quantum Hall regime.

Authors:
 [1];  [2];  [3];  [1];  [2];  [2];  [4]
  1. Institut fuer Theorie der Kondensierten Materie, Karlsruhe Institute of Technology, 76128 Karlsruhe (Germany)
  2. (Germany)
  3. Institut fuer Theoretische Physik, Universitaet zu Koeln, Zuelpicher Str. 77, 50937 Koeln (Germany)
  4. (Russian Federation)
Publication Date:
OSTI Identifier:
22157011
Resource Type:
Journal Article
Journal Name:
Annals of Physics (New York)
Additional Journal Information:
Journal Volume: 327; Journal Issue: 11; Other Information: Copyright (c) 2012 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0003-4916
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 77 NANOSCIENCE AND NANOTECHNOLOGY; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ACTION INTEGRAL; BOSON EXPANSION; COUPLING; EVALUATION; HALL EFFECT; INTERFEROMETRY; ONE-DIMENSIONAL CALCULATIONS; QUANTUM WIRES; SCATTERING; STATISTICS; TUNNEL EFFECT

Citation Formats

Ngo Dinh, Stephane, E-mail: stephane.ngodinh@kit.edu, DFG Center for Functional Nanostructures, Karlsruhe Institute of Technology, 76128 Karlsruhe, Bagrets, Dmitry A., Mirlin, Alexander D., Institut fuer Nanotechnologie, Karlsruhe Institute of Technology, 76021 Karlsruhe, DFG Center for Functional Nanostructures, Karlsruhe Institute of Technology, 76128 Karlsruhe, and Petersburg Nuclear Physics Institute, 188300 St. Petersburg. Nonequilibrium functional bosonization of quantum wire networks. United States: N. p., 2012. Web. doi:10.1016/J.AOP.2012.06.004.
Ngo Dinh, Stephane, E-mail: stephane.ngodinh@kit.edu, DFG Center for Functional Nanostructures, Karlsruhe Institute of Technology, 76128 Karlsruhe, Bagrets, Dmitry A., Mirlin, Alexander D., Institut fuer Nanotechnologie, Karlsruhe Institute of Technology, 76021 Karlsruhe, DFG Center for Functional Nanostructures, Karlsruhe Institute of Technology, 76128 Karlsruhe, & Petersburg Nuclear Physics Institute, 188300 St. Petersburg. Nonequilibrium functional bosonization of quantum wire networks. United States. doi:10.1016/J.AOP.2012.06.004.
Ngo Dinh, Stephane, E-mail: stephane.ngodinh@kit.edu, DFG Center for Functional Nanostructures, Karlsruhe Institute of Technology, 76128 Karlsruhe, Bagrets, Dmitry A., Mirlin, Alexander D., Institut fuer Nanotechnologie, Karlsruhe Institute of Technology, 76021 Karlsruhe, DFG Center for Functional Nanostructures, Karlsruhe Institute of Technology, 76128 Karlsruhe, and Petersburg Nuclear Physics Institute, 188300 St. Petersburg. Thu . "Nonequilibrium functional bosonization of quantum wire networks". United States. doi:10.1016/J.AOP.2012.06.004.
@article{osti_22157011,
title = {Nonequilibrium functional bosonization of quantum wire networks},
author = {Ngo Dinh, Stephane, E-mail: stephane.ngodinh@kit.edu and DFG Center for Functional Nanostructures, Karlsruhe Institute of Technology, 76128 Karlsruhe and Bagrets, Dmitry A. and Mirlin, Alexander D. and Institut fuer Nanotechnologie, Karlsruhe Institute of Technology, 76021 Karlsruhe and DFG Center for Functional Nanostructures, Karlsruhe Institute of Technology, 76128 Karlsruhe and Petersburg Nuclear Physics Institute, 188300 St. Petersburg},
abstractNote = {We develop a general approach to nonequilibrium nanostructures formed by one-dimensional channels coupled by tunnel junctions and/or by impurity scattering. The formalism is based on nonequilibrium version of functional bosonization. A central role in this approach is played by the Keldysh action that has a form reminiscent of the theory of full counting statistics. To proceed with evaluation of physical observables, we assume the weak-tunneling regime and develop a real-time instanton method. A detailed exposition of the formalism is supplemented by two important applications: (i) tunneling into a biased Luttinger liquid with an impurity, and (ii) quantum Hall Fabry-Perot interferometry. - Highlights: Black-Right-Pointing-Pointer A nonequilibrium functional bosonization framework for quantum wire networks is developed Black-Right-Pointing-Pointer For the study of observables in the weak tunneling regime a real-time instanton method is elaborated. Black-Right-Pointing-Pointer We consider tunneling into a biased Luttinger liquid with an impurity. Black-Right-Pointing-Pointer We analyze electronic Fabry-Perot interferometers in the integer quantum Hall regime.},
doi = {10.1016/J.AOP.2012.06.004},
journal = {Annals of Physics (New York)},
issn = {0003-4916},
number = 11,
volume = 327,
place = {United States},
year = {2012},
month = {11}
}