Standard

Critical thermodynamics of a three-dimensional chiral model for N>3. / Calabrese, P.; Parruccini, P.; Sokolov, A. I.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 68, No. 9, 2003, p. 094415/1-094415/8.

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

Harvard

Calabrese, P, Parruccini, P & Sokolov, AI 2003, 'Critical thermodynamics of a three-dimensional chiral model for N>3', Physical Review B - Condensed Matter and Materials Physics, vol. 68, no. 9, pp. 094415/1-094415/8.

APA

Calabrese, P., Parruccini, P., & Sokolov, A. I. (2003). Critical thermodynamics of a three-dimensional chiral model for N>3. Physical Review B - Condensed Matter and Materials Physics, 68(9), 094415/1-094415/8.

Vancouver

Calabrese P, Parruccini P, Sokolov AI. Critical thermodynamics of a three-dimensional chiral model for N>3. Physical Review B - Condensed Matter and Materials Physics. 2003;68(9):094415/1-094415/8.

Author

Calabrese, P. ; Parruccini, P. ; Sokolov, A. I. / Critical thermodynamics of a three-dimensional chiral model for N>3. In: Physical Review B - Condensed Matter and Materials Physics. 2003 ; Vol. 68, No. 9. pp. 094415/1-094415/8.

BibTeX

@article{724c7328c03e439eb1a0a99cbc967ffd,
title = "Critical thermodynamics of a three-dimensional chiral model for N>3",
abstract = "The critical behavior of the three-dimensional N-vector chiral model is studied for arbitrary N. The known six-loop renormalization-group (RG) expansions are resummed using the Borel transformation combined with the conformal mapping and Pad{\'e} approximant techniques. Analyzing the fixed-point location and the structure of RG flows, it is found that two marginal values of N exist which separate domains of continuous chiral phase transitions N>Nc1 and N<Nc2 from the region N c1>N>Nc2 where such transitions are first order. Our calculations yield Nc1 = 6.4(4) and Nc2 = 5.7(3). For N>Nc1 the structure of RG flows is identical to that given by the ε and 1/N expansions with the chiral fixed point being a stable node. For N<Nc2 the chiral fixed point turns out to be a focus having no generic relation to the stable fixed point seen at small ε and large N. In this domain, containing the physical values N = 2 and N = 3, phase trajectories approach the fixed point in a spiral-like manner giving rise to unusual crossover regimes which may imitate varying (scattered) critical exponents seen in numerous physical and computer experiments.",
author = "P. Calabrese and P. Parruccini and Sokolov, {A. I.}",
year = "2003",
language = "English",
volume = "68",
pages = "094415/1--094415/8",
journal = "Physical Review B-Condensed Matter",
issn = "1098-0121",
publisher = "American Physical Society",
number = "9",

}

RIS

TY - JOUR

T1 - Critical thermodynamics of a three-dimensional chiral model for N>3

AU - Calabrese, P.

AU - Parruccini, P.

AU - Sokolov, A. I.

PY - 2003

Y1 - 2003

N2 - The critical behavior of the three-dimensional N-vector chiral model is studied for arbitrary N. The known six-loop renormalization-group (RG) expansions are resummed using the Borel transformation combined with the conformal mapping and Padé approximant techniques. Analyzing the fixed-point location and the structure of RG flows, it is found that two marginal values of N exist which separate domains of continuous chiral phase transitions N>Nc1 and N<Nc2 from the region N c1>N>Nc2 where such transitions are first order. Our calculations yield Nc1 = 6.4(4) and Nc2 = 5.7(3). For N>Nc1 the structure of RG flows is identical to that given by the ε and 1/N expansions with the chiral fixed point being a stable node. For N<Nc2 the chiral fixed point turns out to be a focus having no generic relation to the stable fixed point seen at small ε and large N. In this domain, containing the physical values N = 2 and N = 3, phase trajectories approach the fixed point in a spiral-like manner giving rise to unusual crossover regimes which may imitate varying (scattered) critical exponents seen in numerous physical and computer experiments.

AB - The critical behavior of the three-dimensional N-vector chiral model is studied for arbitrary N. The known six-loop renormalization-group (RG) expansions are resummed using the Borel transformation combined with the conformal mapping and Padé approximant techniques. Analyzing the fixed-point location and the structure of RG flows, it is found that two marginal values of N exist which separate domains of continuous chiral phase transitions N>Nc1 and N<Nc2 from the region N c1>N>Nc2 where such transitions are first order. Our calculations yield Nc1 = 6.4(4) and Nc2 = 5.7(3). For N>Nc1 the structure of RG flows is identical to that given by the ε and 1/N expansions with the chiral fixed point being a stable node. For N<Nc2 the chiral fixed point turns out to be a focus having no generic relation to the stable fixed point seen at small ε and large N. In this domain, containing the physical values N = 2 and N = 3, phase trajectories approach the fixed point in a spiral-like manner giving rise to unusual crossover regimes which may imitate varying (scattered) critical exponents seen in numerous physical and computer experiments.

UR - http://www.scopus.com/inward/record.url?scp=0242299591&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0242299591

VL - 68

SP - 094415/1-094415/8

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 9

ER -

ID: 36749345