Enhancement of critical temperatures in disordered bipartite lattices

Abstract

We study the strong enhancement, induced by random hopping, of the critical temperatures characterizing the transitions to superconductivity, charge-density wave and antiferromagnetism, which can occur in bipartite lattice models at half-filling, like graphene, by means of an extended Finkel'stein non-linear $\sigma$-model renormalization group approach. We show that, if Cooper channel interaction dominates, superconducting critical temperature can be enhanced at will, since superconductivity cannot be broken by entering any Anderson insulating phase. If, instead, staggered interactions are relevant, antiferromagnetic order is generated by disorder at a temperature well above that expected for a clean system.

7 pages, 4 figures, final version

References in corpus (6)

• Anderson Transitions
• Eigenfunction fractality and pseudogap state near superconductor-insulator transition
• Enhancement of superconductivity by Anderson localization
• Metal-insulator transition from combined disorder and interaction effects in Hubbard-like electronic lattice models with random hopping
• Disordered d-wave superconductors with interactions
• Anomalous dimensions of operators without derivatives in the non-linear sigma-model for disordered bipartite lattices

Cited by in corpus (18)

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• Josephson effect in a Fibonacci quasicrystal
• Enhanced Amplitude for Superconductivity due to Spectrum-wide Wave Function Criticality in Quasiperiodic and Power-law Random Hopping Models
• Mesoscopic fluctuations of the single-particle Green's function at Anderson transitions with Coulomb interaction
• Visualizing the multifractal wavefunctions of a disordered two-dimensional electron gas
• Effect of atomic disorder and Ce doping on superconductivity of Ca3Rh4Sn13: Electric transport properties under high pressure
• Quasiperiodic criticality and spin-triplet superconductivity in superconductor-antiferromagnet moire patterns
• Generalized multifractality in the spin quantum Hall symmetry class with interaction
• Generalized surface multifractality in 2D disordered systems
• Scale-dependent theory of the disordered electron liquid
• Local density of state fluctuations in 2D superconductor as a probe of quantum diffusion
• Enhancement of Superconductivity in a Dirty Marginal Fermi Liquid
• Mesoscopic fluctuations of the local density of states in interacting electron systems
• Beta-functions of non-linear $\sigma$-models for disordered and interacting electron systems
• Boundary multifractality in the spin quantum Hall symmetry class with interaction