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Topological phase transition in a generalized Kane-Mele-Hubbard model: A combined quantum Monte Carlo and Green's function study

Hung, Hsiang-Hsuan and Wang, Lei and Gu, Zheng-Cheng and Fiete, Gregory A. (2013) Topological phase transition in a generalized Kane-Mele-Hubbard model: A combined quantum Monte Carlo and Green's function study. Physical Review B, 87 (12). Art. No. 121113 . ISSN 1098-0121. https://resolver.caltech.edu/CaltechAUTHORS:20130502-125820092

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevB.87.121113DOIUNSPECIFIED
http://link.aps.org/doi/10.1103/PhysRevB.87.121113PublisherUNSPECIFIED
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.
Funders:
Funding AgencyGrant Number
Army Research Office (ARO)W911NF-09-1-0527
NSFDMR-0955778
Army Research Office (ARO)W911NF-12-1-0573
DARPA OLE ProgramUNSPECIFIED
Frontiers CenterUNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Issue or Number:12
Classification Code:PACS: 71.10.Fd, 71.70.Ej
Record Number:CaltechAUTHORS:20130502-125820092
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20130502-125820092
Official Citation:Hung, H.-H., L. Wang, et al. (2013). "Topological phase transition in a generalized Kane-Mele-Hubbard model: A combined quantum Monte Carlo and Green's function study." Physical Review B 87(12): 121113.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:38241
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:06 May 2013 19:23
Last Modified:03 Oct 2019 04:55

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