Abstract
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 language | English (US) |
|---|---|
| Article number | 064206 |
| Journal | Physical Review B - Condensed Matter and Materials Physics |
| Volume | 86 |
| Issue number | 6 |
| DOIs | |
| State | Published - Aug 24 2012 |
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ASJC Scopus subject areas
- Condensed Matter Physics
- Electronic, Optical and Magnetic Materials
Cite this
Level statistics for quantum k-core percolation. / Cao, L.; Schwarz, Jennifer M.
In: Physical Review B - Condensed Matter and Materials Physics, Vol. 86, No. 6, 064206, 24.08.2012.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Level statistics for quantum k-core percolation
AU - Cao, L.
AU - Schwarz, Jennifer M
PY - 2012/8/24
Y1 - 2012/8/24
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevB.86.064206
DO - 10.1103/PhysRevB.86.064206
M3 - Article
AN - SCOPUS:84865654255
VL - 86
JO - Physical Review B-Condensed Matter
JF - Physical Review B-Condensed Matter
SN - 0163-1829
IS - 6
M1 - 064206
ER -