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Ambiguity in renormalization of the conductance of an X-junction between quantum wires with a Luttinger-type interaction. / Aristov, D.N.; Niyazov, R.A.

In: Theoretical and Mathematical Physics, No. 1, 2015, p. 1408-1416.

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Harvard

Aristov, DN & Niyazov, RA 2015, 'Ambiguity in renormalization of the conductance of an X-junction between quantum wires with a Luttinger-type interaction', Theoretical and Mathematical Physics, no. 1, pp. 1408-1416. https://doi.org/10.1007/s11232-015-0349-0

APA

Aristov, D. N., & Niyazov, R. A. (2015). Ambiguity in renormalization of the conductance of an X-junction between quantum wires with a Luttinger-type interaction. Theoretical and Mathematical Physics, (1), 1408-1416. https://doi.org/10.1007/s11232-015-0349-0

Vancouver

Aristov DN, Niyazov RA. Ambiguity in renormalization of the conductance of an X-junction between quantum wires with a Luttinger-type interaction. Theoretical and Mathematical Physics. 2015;(1):1408-1416. https://doi.org/10.1007/s11232-015-0349-0

Author

Aristov, D.N. ; Niyazov, R.A. / Ambiguity in renormalization of the conductance of an X-junction between quantum wires with a Luttinger-type interaction. In: Theoretical and Mathematical Physics. 2015 ; No. 1. pp. 1408-1416.

BibTeX

@article{e2ccd5c0bebe40b1a040125f34c20700,
title = "Ambiguity in renormalization of the conductance of an X-junction between quantum wires with a Luttinger-type interaction",
abstract = "{\textcopyright} 2015, Pleiades Publishing, Ltd.We study the conductance renormalization for the four-lead junction of semi-infinite wires in the scattering state formalism. We use the model of spinless fermions with a short-range Luttinger-type interaction and find the renormalization group (RG) equations for the conductances of the system in the first order of the fermionic interaction. In contrast to the well-known cases of two-lead and three-lead junctions, the four-lead case does not admit a formulation of the RG equations solely in terms of conductances. The arising ambiguity with arbitrariness in the choice of the sign of S-matrix elements related to identical conductance matrices might be connected with a symmetry of the particle–hole type in the Hamiltonian. We show that there are two distinct RG flows from any initial point in the space of conductances. The discovered ambiguity does not affect the scaling exponents at the fixed points.",
author = "D.N. Aristov and R.A. Niyazov",
year = "2015",
doi = "10.1007/s11232-015-0349-0",
language = "English",
pages = "1408--1416",
journal = "Theoretical and Mathematical Physics (Russian Federation)",
issn = "0040-5779",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - Ambiguity in renormalization of the conductance of an X-junction between quantum wires with a Luttinger-type interaction

AU - Aristov, D.N.

AU - Niyazov, R.A.

PY - 2015

Y1 - 2015

N2 - © 2015, Pleiades Publishing, Ltd.We study the conductance renormalization for the four-lead junction of semi-infinite wires in the scattering state formalism. We use the model of spinless fermions with a short-range Luttinger-type interaction and find the renormalization group (RG) equations for the conductances of the system in the first order of the fermionic interaction. In contrast to the well-known cases of two-lead and three-lead junctions, the four-lead case does not admit a formulation of the RG equations solely in terms of conductances. The arising ambiguity with arbitrariness in the choice of the sign of S-matrix elements related to identical conductance matrices might be connected with a symmetry of the particle–hole type in the Hamiltonian. We show that there are two distinct RG flows from any initial point in the space of conductances. The discovered ambiguity does not affect the scaling exponents at the fixed points.

AB - © 2015, Pleiades Publishing, Ltd.We study the conductance renormalization for the four-lead junction of semi-infinite wires in the scattering state formalism. We use the model of spinless fermions with a short-range Luttinger-type interaction and find the renormalization group (RG) equations for the conductances of the system in the first order of the fermionic interaction. In contrast to the well-known cases of two-lead and three-lead junctions, the four-lead case does not admit a formulation of the RG equations solely in terms of conductances. The arising ambiguity with arbitrariness in the choice of the sign of S-matrix elements related to identical conductance matrices might be connected with a symmetry of the particle–hole type in the Hamiltonian. We show that there are two distinct RG flows from any initial point in the space of conductances. The discovered ambiguity does not affect the scaling exponents at the fixed points.

U2 - 10.1007/s11232-015-0349-0

DO - 10.1007/s11232-015-0349-0

M3 - Article

SP - 1408

EP - 1416

JO - Theoretical and Mathematical Physics (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

SN - 0040-5779

IS - 1

ER -

ID: 3999314