Emergent Geometric Hamiltonian and Insulator-Superfluid Phase Transitions

Details Emergent Geometric Hamiltonian and Insulator-Superfluid Phase Transitions Emergent Geometric Hamiltonian and Insulator-Superfluid Phase Transitions

2005-03-22

arxiv.org/abs/cond-mat/0503553v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, no figures; a reference added

Scientific paper

10.1103/PhysRevB.73.035102

I argue that certain bosonic insulator-superfluid phase transitions as an interaction constant varies are driven by emergent geometric properties of insulating states. The {\em renormalized} chemical potential and distribution of disordered bosons define the geometric aspect of an effective low energy Hamiltonian which I employ to study various resonating states and quantum phase transitions. In a mean field approximation, I also demonstrate that the quantum phase transitions are in the universality class of a percolation problem.

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