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Fermion-induced quantum critical point in the Landau-Devonshire model
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Fermion-induced quantum critical point in the Landau-Devonshire model
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Fluctuations can change the phase transition properties drastically. An example is the fermion-induced quantum critical point (FIQCP), in which fluctuations of the massless Dirac fermions turn a putative Landau-de Gennes first-order phase transition (FOPT) with a cubic boson interaction into a continuous one. However, for the Landau-Devonshire theory, which characterizes another very large class of FOPTs, its fate under the coupling with extra fluctuations has not been explored. Here, we discover a new type of FIQCP, in which the Dirac fermion fluctuations round the boson Landau-Devonshire FOPT into a continuous phase transition. By using the functional renormalization group analyses, we determine the condition for the appearance of this FIQCP. Moreover, we point out that the present FIQCP can be a supersymmetric critical point. We finally show that the low-temperature phase diagram can provide distinct experimental evidences to detect this FIQCP.
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Supersymmetric quantum criticality with discrete symmetry
FRG analysis of Z_n-anisotropic Gross-Neveu-Yukawa theories shows irrelevant anisotropy for n>3 yielding N=2 supersymmetric criticality and a second length scale whose exponent satisfies ν'/ν = 1 + |y_n|/2.
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