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Tunable quantum phase transitions in a resonant level coupled to two dissipative baths

Publication ,  Journal Article
Liu, DE; Zheng, H; Finkelstein, G; Baranger, HU
Published in: Physical Review B - Condensed Matter and Materials Physics
February 18, 2014

We study tunneling through a resonant level connected to two dissipative bosonic baths: one is the resistive environment of the source and drain leads, while the second comes from coupling to potential fluctuations on a resistive gate. We show that several quantum phase transitions (QPT) occur in such a model, transitions which emulate those found in interacting systems such as Luttinger liquids or Kondo systems. We first use bosonization to map this dissipative resonant level model to a resonant level in a Luttinger liquid, one with, curiously, two interaction parameters. Drawing on methods for analyzing Luttinger liquids at both weak and strong coupling, we obtain the phase diagram. For strong dissipation, a Berezinsky-Kosterlitz-Thouless QPT separates strong-coupling and weak-coupling (charge localized) phases. In the source-drain symmetric case, all relevant backscattering processes disappear at strong coupling, leading to perfect transmission at zero temperature. In fact, a QPT occurs as a function of the coupling asymmetry or energy of the resonant level: the two phases are (i) the system is cut into two disconnected pieces (zero transmission), or (ii) the system is a single connected piece with perfect transmission, except for a disconnected fractional degree of freedom. The latter arises from the competition between the two fermionic leads (source and drain), as in the two-channel Kondo effect. © 2014 American Physical Society.

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Published In

Physical Review B - Condensed Matter and Materials Physics

DOI

EISSN

1550-235X

ISSN

1098-0121

Publication Date

February 18, 2014

Volume

89

Issue

8

Related Subject Headings

  • Fluids & Plasmas
  • 09 Engineering
  • 03 Chemical Sciences
  • 02 Physical Sciences
 

Citation

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Liu, D. E., Zheng, H., Finkelstein, G., & Baranger, H. U. (2014). Tunable quantum phase transitions in a resonant level coupled to two dissipative baths. Physical Review B - Condensed Matter and Materials Physics, 89(8). https://doi.org/10.1103/PhysRevB.89.085116
Liu, D. E., H. Zheng, G. Finkelstein, and H. U. Baranger. “Tunable quantum phase transitions in a resonant level coupled to two dissipative baths.” Physical Review B - Condensed Matter and Materials Physics 89, no. 8 (February 18, 2014). https://doi.org/10.1103/PhysRevB.89.085116.
Liu DE, Zheng H, Finkelstein G, Baranger HU. Tunable quantum phase transitions in a resonant level coupled to two dissipative baths. Physical Review B - Condensed Matter and Materials Physics. 2014 Feb 18;89(8).
Liu, D. E., et al. “Tunable quantum phase transitions in a resonant level coupled to two dissipative baths.” Physical Review B - Condensed Matter and Materials Physics, vol. 89, no. 8, Feb. 2014. Scopus, doi:10.1103/PhysRevB.89.085116.
Liu DE, Zheng H, Finkelstein G, Baranger HU. Tunable quantum phase transitions in a resonant level coupled to two dissipative baths. Physical Review B - Condensed Matter and Materials Physics. 2014 Feb 18;89(8).

Published In

Physical Review B - Condensed Matter and Materials Physics

DOI

EISSN

1550-235X

ISSN

1098-0121

Publication Date

February 18, 2014

Volume

89

Issue

8

Related Subject Headings

  • Fluids & Plasmas
  • 09 Engineering
  • 03 Chemical Sciences
  • 02 Physical Sciences