Topological phase transition in a generalized Kane-Mele-Hubbard model: A combined quantum Monte Carlo and Green's function study
Abstract
We study a generalized Kane-Mele-Hubbard model with third-neighbor hopping, an interacting two-dimensional model with a topological phase transition as a function of third-neighbor hopping, by means of the determinant projector quantum Monte Carlo method. This technique is essentially numerically exact on models without a fermion sign problem, such as the one we consider. We determine the interaction dependence of the Z_2 topological insulator/trivial insulator phase boundary by calculating the Z_2 invariants directly from the single-particle Green's function. The interactions push the phase boundary to larger values of third-neighbor hopping, thus, stabilizing the topological phase. The observation of boundary shifting entirely stems from quantum fluctuations. We also identify qualitative features of the single-particle Green's function which are computationally useful in numerical searches for topological phase transitions without the need to compute the full topological invariant.
Additional Information
© 2013 American Physical Society. Received 6 February 2013; published 27 March 2013. H.-H.H. and G.A.F. gratefully acknowledge financial support through ARO Grant No.W911NF-09-1-0527, NSF Grant No. DMR-0955778, and by Grant No. W911NF-12-1-0573 from the Army Research Office with funding from the DARPA OLE Program. L.W. thanks M. Troyer for generous support. Z.-C.G. is supported, in part, by Frontiers Center with support from the Gordon and Betty Moore Foundation. Simulations were run on the Brutus cluster at ETH Zurich.Attached Files
Published - PhysRevB.87.121113.pdf
Supplemental Material - AF_L0.4U4.eps
Supplemental Material - AF_L0.4U5.eps
Supplemental Material - AF_L0.4U6.eps
Supplemental Material - AF_L1U6.eps
Supplemental Material - BZ2.eps
Supplemental Material - README.TXT
Supplemental Material - benchmark1.eps
Supplemental Material - benchmark2.eps
Supplemental Material - sup.pdf
Supplemental Material - sup.tex
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Additional details
- Eprint ID
- 38241
- Resolver ID
- CaltechAUTHORS:20130502-125820092
- W911NF-09-1-0527
- Army Research Office (ARO)
- DMR-0955778
- NSF
- W911NF-12-1-0573
- Army Research Office (ARO)
- DARPA OLE Program
- Frontiers Center
- Gordon and Betty Moore Foundation
- Created
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2013-05-06Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field