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Title: Spinful fermionic ladders at incommensurate filling: Phase diagram, local perturbations, and ionic potentials

Abstract

We study the effect of external potential on transport properties of the fermionic two-leg ladder model. The response of the system to a local perturbation is strongly dependent on the ground state properties of the system and especially on the dominant correlations. We categorize all phases and transitions in the model (for incommensurate filling) and introduce “hopping-driven transitions” that the system undergoes as the inter-chain hopping is increased from zero. We also describe the response of the system to an ionic potential. The physics of this effect is similar to that of the single impurity, except that the ionic potential can affect the bulk properties of the system and in particular induce true long range order. -- Highlights: •We study low temperature electronic properties of a two leg ladder. •We find a wide variety of phase transitions as a function of model parameters. •We study the effect of impurities on these models. •Conductance may be very sensitive to the structure of these impurities.

Authors:
 [1];  [2]
  1. Institut für Theorie der Kondensierten Materie, Karlsruher Institut für Technologie, 76128 Karlsruhe (Germany)
  2. The Abdus Salam International Centre for Theoretical Physics, 34100, Trieste (Italy)
Publication Date:
OSTI Identifier:
22224246
Resource Type:
Journal Article
Journal Name:
Annals of Physics (New York)
Additional Journal Information:
Journal Volume: 339; Other Information: Copyright (c) 2013 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; CHARGE TRANSPORT; CORRELATIONS; FERMIONS; FUNCTIONS; GROUND STATES; MATERIALS; PERTURBATION THEORY; PHASE DIAGRAMS; PHASE TRANSFORMATIONS; POTENTIALS; SPIN

Citation Formats

Carr, Sam T., E-mail: S.T.Carr@kent.ac.uk, Institut für Theorie der Kondensierten Materie, Karlsruher Institut für Technologie, 76128 Karlsruhe, DFG Center for Functional Nanostructures, Karlsruher Institut für Technologie, 76128 Karlsruhe, Narozhny, Boris N., DFG Center for Functional Nanostructures, Karlsruher Institut für Technologie, 76128 Karlsruhe, and Nersesyan, Alexander A. Spinful fermionic ladders at incommensurate filling: Phase diagram, local perturbations, and ionic potentials. United States: N. p., 2013. Web. doi:10.1016/J.AOP.2013.08.007.
Carr, Sam T., E-mail: S.T.Carr@kent.ac.uk, Institut für Theorie der Kondensierten Materie, Karlsruher Institut für Technologie, 76128 Karlsruhe, DFG Center for Functional Nanostructures, Karlsruher Institut für Technologie, 76128 Karlsruhe, Narozhny, Boris N., DFG Center for Functional Nanostructures, Karlsruher Institut für Technologie, 76128 Karlsruhe, & Nersesyan, Alexander A. Spinful fermionic ladders at incommensurate filling: Phase diagram, local perturbations, and ionic potentials. United States. https://doi.org/10.1016/J.AOP.2013.08.007
Carr, Sam T., E-mail: S.T.Carr@kent.ac.uk, Institut für Theorie der Kondensierten Materie, Karlsruher Institut für Technologie, 76128 Karlsruhe, DFG Center for Functional Nanostructures, Karlsruher Institut für Technologie, 76128 Karlsruhe, Narozhny, Boris N., DFG Center for Functional Nanostructures, Karlsruher Institut für Technologie, 76128 Karlsruhe, and Nersesyan, Alexander A. 2013. "Spinful fermionic ladders at incommensurate filling: Phase diagram, local perturbations, and ionic potentials". United States. https://doi.org/10.1016/J.AOP.2013.08.007.
@article{osti_22224246,
title = {Spinful fermionic ladders at incommensurate filling: Phase diagram, local perturbations, and ionic potentials},
author = {Carr, Sam T., E-mail: S.T.Carr@kent.ac.uk and Institut für Theorie der Kondensierten Materie, Karlsruher Institut für Technologie, 76128 Karlsruhe and DFG Center for Functional Nanostructures, Karlsruher Institut für Technologie, 76128 Karlsruhe and Narozhny, Boris N. and DFG Center for Functional Nanostructures, Karlsruher Institut für Technologie, 76128 Karlsruhe and Nersesyan, Alexander A.},
abstractNote = {We study the effect of external potential on transport properties of the fermionic two-leg ladder model. The response of the system to a local perturbation is strongly dependent on the ground state properties of the system and especially on the dominant correlations. We categorize all phases and transitions in the model (for incommensurate filling) and introduce “hopping-driven transitions” that the system undergoes as the inter-chain hopping is increased from zero. We also describe the response of the system to an ionic potential. The physics of this effect is similar to that of the single impurity, except that the ionic potential can affect the bulk properties of the system and in particular induce true long range order. -- Highlights: •We study low temperature electronic properties of a two leg ladder. •We find a wide variety of phase transitions as a function of model parameters. •We study the effect of impurities on these models. •Conductance may be very sensitive to the structure of these impurities.},
doi = {10.1016/J.AOP.2013.08.007},
url = {https://www.osti.gov/biblio/22224246}, journal = {Annals of Physics (New York)},
issn = {0003-4916},
number = ,
volume = 339,
place = {United States},
year = {Sun Dec 15 00:00:00 EST 2013},
month = {Sun Dec 15 00:00:00 EST 2013}
}