Crossover exponent for a weak magnetic field at the localization orthogonal fixed point

M. Biafore; C. Castellani; G. Kotliar

doi:10.1016/0550-3213(90)90461-L

Crossover exponent for a weak magnetic field at the localization orthogonal fixed point

M. Biafore
, C. Castellani
, G. Kotliar

School of Arts and Sciences, New High Energy Theory Center

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

10 Scopus citations

Abstract

We re-examine the non-linear σ-model lagrangian for the soft modes of non-interacting electrons in a disordered system in a weak magnetic field, close to two dimensions. The magnetic field is shown to induce two scaling terms in the low-energy lagrangian. The crossover exponents are computed by using a Wilson-Polyakov non-linear renormalization group. The largest one agrees to lowest order with the exponent expected from naive scaling arguments.

Original language	English (US)
Pages (from-to)	617-632
Number of pages	16
Journal	Nuclear Physics, Section B
Volume	340
Issue number	2-3
DOIs	https://doi.org/10.1016/0550-3213(90)90461-L
State	Published - 1990

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/0550-3213(90)90461-L

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title = "Crossover exponent for a weak magnetic field at the localization orthogonal fixed point",

abstract = "We re-examine the non-linear σ-model lagrangian for the soft modes of non-interacting electrons in a disordered system in a weak magnetic field, close to two dimensions. The magnetic field is shown to induce two scaling terms in the low-energy lagrangian. The crossover exponents are computed by using a Wilson-Polyakov non-linear renormalization group. The largest one agrees to lowest order with the exponent expected from naive scaling arguments.",

author = "M. Biafore and C. Castellani and G. Kotliar",

note = "Funding Information: This work was supported by the NSF under grant no . DRM86\_57557 . G .K. would like to thank T . Banks for a very useful discussion . C .C . would like to thank the Physics Department at Rutgers for hospitality .",

year = "1990",

doi = "10.1016/0550-3213(90)90461-L",

language = "English (US)",

volume = "340",

pages = "617--632",

journal = "Nuclear Physics, Section B",

issn = "0550-3213",

publisher = "Elsevier B.V.",

number = "2-3",

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TY - JOUR

T1 - Crossover exponent for a weak magnetic field at the localization orthogonal fixed point

AU - Biafore, M.

AU - Castellani, C.

AU - Kotliar, G.

N1 - Funding Information: This work was supported by the NSF under grant no . DRM86_57557 . G .K. would like to thank T . Banks for a very useful discussion . C .C . would like to thank the Physics Department at Rutgers for hospitality .

PY - 1990

Y1 - 1990

N2 - We re-examine the non-linear σ-model lagrangian for the soft modes of non-interacting electrons in a disordered system in a weak magnetic field, close to two dimensions. The magnetic field is shown to induce two scaling terms in the low-energy lagrangian. The crossover exponents are computed by using a Wilson-Polyakov non-linear renormalization group. The largest one agrees to lowest order with the exponent expected from naive scaling arguments.

AB - We re-examine the non-linear σ-model lagrangian for the soft modes of non-interacting electrons in a disordered system in a weak magnetic field, close to two dimensions. The magnetic field is shown to induce two scaling terms in the low-energy lagrangian. The crossover exponents are computed by using a Wilson-Polyakov non-linear renormalization group. The largest one agrees to lowest order with the exponent expected from naive scaling arguments.

UR - https://www.scopus.com/pages/publications/0642373825

UR - https://www.scopus.com/pages/publications/0642373825#tab=citedBy

U2 - 10.1016/0550-3213(90)90461-L

DO - 10.1016/0550-3213(90)90461-L

M3 - Article

AN - SCOPUS:0642373825

SN - 0550-3213

VL - 340

SP - 617

EP - 632

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 2-3

ER -

Crossover exponent for a weak magnetic field at the localization orthogonal fixed point

Abstract

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