TY - JOUR

T1 - Bi- and tetracritical phase diagrams in three dimensions

AU - Aharony, Amnon

AU - Entin-Wohlman, Ora

AU - Kudlis, Andrey

N1 - Publisher Copyright:
© 2022 Author(s).

PY - 2022/6/1

Y1 - 2022/6/1

N2 - The critical behavior of many physical systems involves two competing n 1- and n2-component order-parameters, S1 and S2, respectively, with n = n1 + n2. Varying an external control parameter g, one encounters ordering of S1 below a critical (second-order) line for g < 0 and of S2 below another critical line for g > 0. These two ordered phases are separated by a first-order line, which meets the above critical lines at a bicritical point, or by an intermediate (mixed) phase, bounded by two critical lines, which meet the above critical lines at a tetracritical point. For n = 1 + 2 = 3, the critical behavior around the (bi- or tetra-) multicritical point either belongs to the universality class of a non-rotationally invariant (cubic or biconical) fixed point, or it has a fluctuation driven first-order transition. These asymptotic behaviors arise only very close to the transitions. We present accurate renormalization-group flow trajectories yielding the effective crossover exponents near multicriticality.

AB - The critical behavior of many physical systems involves two competing n 1- and n2-component order-parameters, S1 and S2, respectively, with n = n1 + n2. Varying an external control parameter g, one encounters ordering of S1 below a critical (second-order) line for g < 0 and of S2 below another critical line for g > 0. These two ordered phases are separated by a first-order line, which meets the above critical lines at a bicritical point, or by an intermediate (mixed) phase, bounded by two critical lines, which meet the above critical lines at a tetracritical point. For n = 1 + 2 = 3, the critical behavior around the (bi- or tetra-) multicritical point either belongs to the universality class of a non-rotationally invariant (cubic or biconical) fixed point, or it has a fluctuation driven first-order transition. These asymptotic behaviors arise only very close to the transitions. We present accurate renormalization-group flow trajectories yielding the effective crossover exponents near multicriticality.

UR - http://www.scopus.com/inward/record.url?scp=85131183962&partnerID=8YFLogxK

U2 - 10.1063/10.0010444

DO - 10.1063/10.0010444

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AN - SCOPUS:85131183962

SN - 1063-777X

VL - 48

SP - 483

EP - 491

JO - Low Temperature Physics

JF - Low Temperature Physics

IS - 6

ER -