Level statistics for quantum k-core percolation

Research output: Contribution to journalArticlepeer-review


Quantum k-core percolation is the study of quantum transport on k-core percolation clusters where each occupied bond must have at least k occupied neighboring bonds. As the bond occupation probability p is increased from zero to unity, the system undergoes a transition from an insulating phase to a metallic phase. When the length scale for the disorder l d is much greater than the coherence length l c, earlier analytical calculations of quantum conduction on the Bethe lattice demonstrated that for k=3 the metal-insulator transition (MIT) is discontinuous, suggesting a new type of disorder-driven quantum MITs. Here, we numerically compute the level spacing distribution as a function of bond occupation probability p and system size on a Bethe-like lattice. The level spacing analysis suggests that for k=0, p q, the quantum percolation critical probability, is greater than p c, the geometrical percolation critical probability, and the transition is continuous. In contrast, for k=3, p q=p c, and the transition is discontinuous such that these numerical findings are consistent with our previous work to reiterate a new random first-order phase transition and therefore a new universality class of disorder-driven quantum MITs.

Original languageEnglish (US)
Article number064206
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number6
StatePublished - Aug 24 2012

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


Dive into the research topics of 'Level statistics for quantum k-core percolation'. Together they form a unique fingerprint.

Cite this