Tunneling into a Luttinger liquid coupled to acoustic phonons out of equilibrium

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Tunneling into a Luttinger liquid coupled to acoustic phonons out of equilibrium. / Nosov, P. A.; Niyazov, R. A.; Aristov, D. N.

In: Physical Review B, Vol. 101, No. 19, 195404, 15.05.2020.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{149a90fb2470438faf98faadad696a69,

title = "Tunneling into a Luttinger liquid coupled to acoustic phonons out of equilibrium",

abstract = "The renormalization of conductances in a Y junction of spinless Luttinger-liquid wires additionally coupled to acoustic longitudinal phonons is investigated in fermionic representation. This system corresponds to geometry of a tunneling experiment and exhibits the interplay between the Coulomb repulsion and the attractive retarded interaction mediated by phonons. The retardation effects related to the propagation of phonons through the junction with arbitrary transmission and reflection amplitudes are taken into account. The appearing logarithmic corrections to conductances of the junction are treated in a renormalization group approach, and scaling exponents are calculated up to infinite order in the interaction after RPA-type summation. The fixed points and corresponding scaling exponents are considered in various nonequilibrium regimes. We show that the boundary exponent and the bulk anomalous dimension of fermion operator are characterized by two different Luttinger parameters, referring to the main wire, thanks to nonlocal character of phonon-mediated interaction. In the limiting case of the junction of only two wires, the scaling exponents found by our method are in exact correspondence with previous bosonization analysis.",

author = "Nosov, {P. A.} and Niyazov, {R. A.} and Aristov, {D. N.}",

note = "Funding Information: The work of R.N. and P.N. was funded by RFBR according to research Project No. 18-32-00424. The work of D.A. was funded by RFBR and DFG according to research Project No. 20-52-12019. Also, the work of R.N. was partly supported by the grant of the Foundation for the Advancement of Theoretical Physics “BASIS.” Publisher Copyright: {\textcopyright} 2020 American Physical Society. {\textcopyright}2020 American Physical Society.",

year = "2020",

month = may,

day = "15",

doi = "10.1103/PhysRevB.101.195404",

language = "Английский",

volume = "101",

journal = "Physical Review B-Condensed Matter",

issn = "1098-0121",

publisher = "American Physical Society",

number = "19",

}

RIS

TY - JOUR

T1 - Tunneling into a Luttinger liquid coupled to acoustic phonons out of equilibrium

AU - Nosov, P. A.

AU - Niyazov, R. A.

AU - Aristov, D. N.

N1 - Funding Information: The work of R.N. and P.N. was funded by RFBR according to research Project No. 18-32-00424. The work of D.A. was funded by RFBR and DFG according to research Project No. 20-52-12019. Also, the work of R.N. was partly supported by the grant of the Foundation for the Advancement of Theoretical Physics “BASIS.” Publisher Copyright: © 2020 American Physical Society. ©2020 American Physical Society.

PY - 2020/5/15

Y1 - 2020/5/15

N2 - The renormalization of conductances in a Y junction of spinless Luttinger-liquid wires additionally coupled to acoustic longitudinal phonons is investigated in fermionic representation. This system corresponds to geometry of a tunneling experiment and exhibits the interplay between the Coulomb repulsion and the attractive retarded interaction mediated by phonons. The retardation effects related to the propagation of phonons through the junction with arbitrary transmission and reflection amplitudes are taken into account. The appearing logarithmic corrections to conductances of the junction are treated in a renormalization group approach, and scaling exponents are calculated up to infinite order in the interaction after RPA-type summation. The fixed points and corresponding scaling exponents are considered in various nonequilibrium regimes. We show that the boundary exponent and the bulk anomalous dimension of fermion operator are characterized by two different Luttinger parameters, referring to the main wire, thanks to nonlocal character of phonon-mediated interaction. In the limiting case of the junction of only two wires, the scaling exponents found by our method are in exact correspondence with previous bosonization analysis.

AB - The renormalization of conductances in a Y junction of spinless Luttinger-liquid wires additionally coupled to acoustic longitudinal phonons is investigated in fermionic representation. This system corresponds to geometry of a tunneling experiment and exhibits the interplay between the Coulomb repulsion and the attractive retarded interaction mediated by phonons. The retardation effects related to the propagation of phonons through the junction with arbitrary transmission and reflection amplitudes are taken into account. The appearing logarithmic corrections to conductances of the junction are treated in a renormalization group approach, and scaling exponents are calculated up to infinite order in the interaction after RPA-type summation. The fixed points and corresponding scaling exponents are considered in various nonequilibrium regimes. We show that the boundary exponent and the bulk anomalous dimension of fermion operator are characterized by two different Luttinger parameters, referring to the main wire, thanks to nonlocal character of phonon-mediated interaction. In the limiting case of the junction of only two wires, the scaling exponents found by our method are in exact correspondence with previous bosonization analysis.

UR - http://www.scopus.com/inward/record.url?scp=85086001137&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/c8b36a86-6ff6-3b3e-add4-0a19f017b718/

U2 - 10.1103/PhysRevB.101.195404

DO - 10.1103/PhysRevB.101.195404

M3 - статья

VL - 101

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 19

M1 - 195404

ER -

ID: 53522954