TY - JOUR

T1 - Logarithmic corrections to the mean-field theory of tricritical points

AU - Stephen, Michael J.

AU - Abrahams, Elihu

AU - Straley, Joseph P.

PY - 1975

Y1 - 1975

N2 - The logarithmic corrections to the mean-field theory of symmetrical tricritical points in three dimensions are derived using a graphical method. The free energy, equation of state, and other thermodynamic quantities are obtained in the disordered and ordered phases. The difference in thermodynamic potential between the ordered and disordered states takes the form G=μ32L12(r)×g(Qμ-12L12-p(r),ζμ-54L-14(r)), where the fields μ and Q are measured normal and tangential to the critical line, respectively, ζ is the field which couples to the order parameter, r is the inverse susceptibility, and L(r)∼lnr. The exponent p depends on the number of components of the order parameter. This form for the free energy differs from that found by Wegner and Riedel.

AB - The logarithmic corrections to the mean-field theory of symmetrical tricritical points in three dimensions are derived using a graphical method. The free energy, equation of state, and other thermodynamic quantities are obtained in the disordered and ordered phases. The difference in thermodynamic potential between the ordered and disordered states takes the form G=μ32L12(r)×g(Qμ-12L12-p(r),ζμ-54L-14(r)), where the fields μ and Q are measured normal and tangential to the critical line, respectively, ζ is the field which couples to the order parameter, r is the inverse susceptibility, and L(r)∼lnr. The exponent p depends on the number of components of the order parameter. This form for the free energy differs from that found by Wegner and Riedel.

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U2 - 10.1103/PhysRevB.12.256

DO - 10.1103/PhysRevB.12.256

M3 - Article

AN - SCOPUS:2242478000

SN - 0163-1829

VL - 12

SP - 256

EP - 262

JO - Physical Review B

JF - Physical Review B

IS - 1

ER -