Abstract
The effect of the spin-orbit and Coulomb interactions on the symmetry and topological properties of the s, p, d, and s + d phases of an excitonic insulator has been considered by example of the inverted two-band structure of the HgTe quantum well. It has been found that only the p phase has a nontrivial topology, but it is metastable. It has been shown that the exchange interaction between fermions induces the ground state with the s + d symmetry of the excitonic order parameter. This phase of the excitonic insulator has zero Chern number; nevertheless, edge states occur in the case of open boundaries.
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Acknowledgments
I am grateful to A.O. Zlotnikov, A.D. Fedoseev, and M.S. Shustin for stimulating discussion and remarks.
Funding
This work was supported by the Russian Foundation for Basic Research (project no. 19-02-00348).
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Russian Text © The Author(s), 2020, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2020, Vol. 111, No. 11, pp. 772–777.
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Val’kov, V.V. Edge States of an Excitonic Insulator with the Spin—Orbit Interaction. Jetp Lett. 111, 647–652 (2020). https://doi.org/10.1134/S0021364020110107
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DOI: https://doi.org/10.1134/S0021364020110107