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Disordered fermionic quantum critical points
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DOI：10.1103/PhysRevB.98.195142.png)
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Abstract
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We study the effect of quenched disorder on the semimetal-superconductor quantum phase transition in a model of two-dimensional Dirac semimetal with N flavors of two-component Dirac fermions, using perturbative renormalization group methods at one-loop order in a double epsilon expansion. For N >= 2 we find that the Harris-stable clean critical behavior gives way, past a certain critical disorder strength, to a finite-disorder critical point characterized by non-Gaussian critical exponents, a noninteger dynamic critical exponent z > 1, and a finite Yukawa coupling between Dirac fermions and bosonic order parameter fluctuations. For N >= 7 the disordered quantum critical point is described by a renormalization group fixed point of stable-focus type and exhibits oscillatory corrections to scaling.
Keywords:
TOPOLOGICAL CRYSTALLINE INSULATOR
CRITICAL-BEHAVIOR
DEGENERATE SEMICONDUCTORS
CRITICAL EXPONENTS
FIELD
MAGNETS
MODELS
PHASE
TRANSITIONS
DEFECTS
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