Topological Phase Transitions for Interacting Finite Systems

Details Topological Phase Transitions for Interacting Finite Systems Topological Phase Transitions for Interacting Finite Systems

2011-08-11

arxiv.org/abs/1108.2507v2

Phys. Rev. B 84, 241105(R) (2011)

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 3 figures. Updated text and references to match published version

Scientific paper

10.1103/PhysRevB.84.241105

In this paper, we investigate signatures of topological phase transitions in interacting systems. We show that the key signature is the existence of a topologically protected level crossing, which is robust and sharply defines the topological transition, even in finite-size systems. Spatial symmetries are argued to play a fundamental role in the selection of the boundary conditions to be used to locate topological transitions in finite systems. We discuss the theoretical implications of this result, and utilize exact diagonalization to demonstrate its manifestations in the Haldane-Fermi-Hubbard model. Our findings provide an efficient way to detect topological transitions in experiments and in numerical calculations that cannot access the ground-state wave function.

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