The critical behavior of many physical systems involves two competing - 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.
Skip Nav Destination
Article navigation
June 2022
Research Article|
June 01 2022
Bi- and tetracritical phase diagrams in three dimensions
Amnon Aharony
;
Amnon Aharony
a)
School of Physics and Astronomy, Tel Aviv University
, Tel Aviv 6997801, Israel
a)Author to whom correspondence should be addressed: aaharonyaa@gmail.com
Search for other works by this author on:
Ora Entin-Wohlman
;
Ora Entin-Wohlman
b)
School of Physics and Astronomy, Tel Aviv University
, Tel Aviv 6997801, Israel
Search for other works by this author on:
Andrey Kudlis
Andrey Kudlis
c)
School of Physics and Astronomy, Tel Aviv University
, Tel Aviv 6997801, Israel
Search for other works by this author on:
a)Author to whom correspondence should be addressed: aaharonyaa@gmail.com
b)
E-mail: orawohlman@gmail.com
c)
E-mail: andrewkudlis@gmail.com
Fiz. Nizk. Temp. 48, 542–551 (June 2022)
Low Temp. Phys. 48, 483–491 (2022)
Article history
Received:
April 25 2022
Citation
Amnon Aharony, Ora Entin-Wohlman, Andrey Kudlis; Bi- and tetracritical phase diagrams in three dimensions. Low Temp. Phys. 1 June 2022; 48 (6): 483–491. https://doi.org/10.1063/10.0010444
Download citation file:
Sign in
Don't already have an account? Register
Sign In
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
Pay-Per-View Access
$40.00
Citing articles via
About the significance of the driving current direction in ferromagnetic resonance experiments
Md. Majibul Haque Babu, Maxim Tsoi
Carbon footprint of helium recovery systems
A. T. Jones, R. B. E. Down, et al.
Tunneling as a marker of quantum mechanics (Review article)
Alexander M. Gabovich, Volodymyr I. Kuznetsov, et al.
Related Content
Universal scaling functions and multi-critical points in the site frustrated Heisenberg model
J. Appl. Phys. (April 2005)
Symmetry breaking ’’irrelevant’’ operators and tetracritical points in anisotropic magnets
AIP Conference Proceedings (April 1975)
Two Soluble Models of Magnetic Systems Showing Critical Points of Higher Order
AIP Conference Proceedings (January 1973)
Theory of multicritical transitions and the spin‐flop bicritical point
AIP Conference Proceedings (April 1975)
Spin flop transition and bicritical behavior of antiferromagnetic layer compounds
AIP Conference Proceedings (May 1976)