2013/05/31 by Timothy H. Hsieh, Liang Fu · 1 citation
Physics and Astronomy · #cond-mat.str-el #hep-th
paper · pdf · doi:10.1103/physrevlett.113.106801
published as Phys. Rev. Lett. 113, 106801 (2014) · 5 pages, 2 figures, 3 pages of Supplementary Material
arxiv created 2014/03/26 · arxiv updated 2014/09/10
A quantum phase transition is usually achieved by tuning physical parameters in a Hamiltonian at zero temperature. Here, we demonstrate that the ground state of a topological phase itself encodes critical properties of its transition to a trivial phase. To extract this information, we introduce a partition of the system into two subsystems both of which extend throughout the bulk in all directions. The resulting bulk entanglement spectrum has a low-lying part that resembles the excitation spectrum of a bulk Hamiltonian, which allows us to probe a topological phase transition from a single wavefunction by tuning either the geometry of the partition or the entanglement temperature. As an example, this remarkable correspondence between topological phase transition and entanglement criticality is rigorously established for integer quantum Hall states.