Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2011-05-26
PRL 107, 106803 (2011)
Physics
Condensed Matter
Strongly Correlated Electrons
4 pages + 1 page Appendix. 1 Figure
Scientific paper
For certain systems, the N-particle ground-state wavefunctions of the bulk happen to be exactly equal to the N-point space-time correlation functions at the edge, in the infrared limit. We show why this had to be so for a class of topological superconductors, beginning with the p+ip state in D=2+1. Varying the chemical potential as a function of Euclidean time between weak and strong pairing states is shown to extract the wavefunction. Then a Euclidean rotation that exchanges time and space and approximate Lorentz invariance lead to the edge connection. We illustrate straightforward extension to other dimensions (eg. 3He- B phase in D=3+1) and to correlated states like fractionalized topological superconductors.
Shankar Raji
Vishwanath Ashvin
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