Quasiparticle excitations in a one-dimensional interacting topological insulator: Application for dopant-based quantum simulation

Mikhail, David; Voisin, Benoit; St Medar, Dominique Didier; Buchs, Gilles; Rogge, Sven; Rachel, Stephan

doi:10.1103/physrevb.106.195408

Title: Quasiparticle excitations in a one-dimensional interacting topological insulator: Application for dopant-based quantum simulation

Journal Article · Tue Nov 08 00:00:00 EST 2022 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.106.195408· OSTI ID:1897842

^[1]; Voisin, Benoit ^[2];

^[2];

^[3]; Rogge, Sven ^[4];

^[1]

Univ. of Melbourne, Parkville, VIC (Australia)
Silicon Quantum Computing (Australia); Univ. of New South Wales, Sydney, NSW (Australia)
Silicon Quantum Computing (Australia); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Univ. of New South Wales, Sydney, NSW (Australia)

Here, we study the effects of electron-electron interactions on the charge excitation spectrum of the spinful Su-Schrieffer-Heeger (SSH) model, a prototype of a one-dimensional bulk obstructed topological insulator. In view of recent progress in the fabrication of dopant-based quantum simulators we focus on experimentally detectable signatures of interacting topology in finite lattices. To this end we use Lanczos-based exact diagonalization to calculate the single-particle spectral function in real space which generalizes the local density of states to interacting systems. Its spatial and spectral resolution allows for the direct investigation and identification of edge states. By studying the noninteracting limit, we demonstrate that the topological in-gap states on the boundary are robust against both finite-size effects as well as random bond and onsite disorder which suggests the feasibility of simulating the SSH model in engineered dopant arrays in silicon. While edge excitations become zero-energy spinlike for any finite interaction strength, our analysis of the spectral function shows that the single-particle charge excitations are gapped out on the boundary. Despite the loss of topological protection, we find that these edge excitations are quasiparticlelike as long as they remain within the bulk gap. Above a critical interaction strength of U_c≈5t these quasiparticles on the boundary lose their coherence which is explained by the merging of edge and bulk states. This is in contrast to the many-body edge excitations which survive the limit of strong coupling, as established in the literature. Our findings show that for moderate repulsive interactions the nontrivial phase of the interacting SSH model can be detected through remnant signatures of topological single-particle states using single-particle local measurement techniques such as scanning tunneling spectroscopy.

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Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE; Australian Research Council (ARC)

Grant/Contract Number:: AC05-00OR22725; CE170100012; DP180102620; FT180100211

OSTI ID:: 1897842

Journal Information:: Physical Review. B, Vol. 106, Issue 19; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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quantum simulation
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Title: Quasiparticle excitations in a one-dimensional interacting topological insulator: Application for dopant-based quantum simulation

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