Universal Finite-Size Scaling around Topological Quantum Phase Transitions

Tobias Gulden, Michael Janas, Yuting Wang, Alex Kamenev

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

The critical point of a topological phase transition is described by a conformal field theory, where finite-size corrections to energy are uniquely related to its central charge. We investigate the finite-size scaling away from criticality and find a scaling function, which discriminates between phases with different topological indices. This function appears to be universal for all five Altland-Zirnbauer symmetry classes with nontrivial topology in one spatial dimension. We obtain an analytic form of the scaling function and compare it with numerical results.

Original languageEnglish (US)
Article number026402
JournalPhysical review letters
Volume116
Issue number2
DOIs
StatePublished - Jan 14 2016

Bibliographical note

Funding Information:
National Science Foundation http://dx.doi.org/10.13039/100000001 NSF http://sws.geonames.org/6252001/ NSF DMR1306734 We are grateful to A. Abanov and I. Gruzberg for valuable discussions. The work was supported by NSF Grant No. DMR1306734.

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