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Emergent Geometric Hamiltonian and Insulator-Superfluid Phase Transitions

Fei Zhou
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Abstract

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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Fei Zhou. 2005-05-05. Emergent Geometric Hamiltonian and Insulator-Superfluid Phase Transitions. https://doi.org/10.1103/physrevb.73.035102

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