TY - JOUR

T1 - Electronic and magnetic properties of many-electron complexes in charged In Asx P1-x quantum dots in InP nanowires

AU - Manalo, Jacob

AU - Cygorek, Moritz

AU - Altintas, Abdulmenaf

AU - Hawrylak, Pawel

N1 - Funding Information:
J.M., M.C., A.A., and P.H. would like to thank B. Jaworowski, M. Korkusinski, Y.Saleem, L. Szulakowska, and A. Dusko for fruitful discussions. J.M., M.C., A.A., and P.H. acknowledge support from Natural Sciences and Engineering Research Council of Canada (NSERC) Discovery and Strategic QC2DM Project Grants and Compute Canada for computing resources. M.C. acknowledges support from The Alexander von Humboldt-Stiftung Foundation.
Publisher Copyright:
© 2021 American Physical Society.

PY - 2021/9/15

Y1 - 2021/9/15

N2 - We present here a microscopic theory of electronic complexes in charged InAsxP1-x quantum dots in InP nanowires with a hexagonal cross section and determine the potential use of an array of such quantum dots as a synthetic spin chain for the possible construction of a topological qubit. The single-particle energies and wave functions are obtained by diagonalizing a microscopic atomistic tight-binding Hamiltonian of multiple quantum dots in the basis of sp3d5s∗ local atomic orbitals for a given random distribution of arsenic (As) vs phosphorus (P) atoms. The conduction band electronic states are found grouped into s, p, and d quantum dot shells. For a double dot, the electronic shells can be understood in terms of interdot tunneling despite the random distribution of As atoms in each quantum dot. The single- and double-dot structures were charged with a finite number of electrons. The many-body Hamiltonian including Coulomb electron-electron interactions was constructed using single atomistic particle states and then diagonalized in the space of many-electron configurations. For a single dot filled with Ne=1-7 electrons, the ground state of a half-filled p-shell configuration with Ne=4 was found with total electronic spin S=1. The low-energy spectrum obtained using exact diagonalization of a Hamiltonian of a charged double dot filled with Ne=8 electrons, i.e., half-filled p shells in each dot, was successfully fitted to the Hubbard-Kanamori and antiferromagnetic Heisenberg spin-1 Hamiltonians. The atomistic simulation confirmed the potential of InAsP/InP quantum dots in a nanowire for the design of synthetic spin chains.

AB - We present here a microscopic theory of electronic complexes in charged InAsxP1-x quantum dots in InP nanowires with a hexagonal cross section and determine the potential use of an array of such quantum dots as a synthetic spin chain for the possible construction of a topological qubit. The single-particle energies and wave functions are obtained by diagonalizing a microscopic atomistic tight-binding Hamiltonian of multiple quantum dots in the basis of sp3d5s∗ local atomic orbitals for a given random distribution of arsenic (As) vs phosphorus (P) atoms. The conduction band electronic states are found grouped into s, p, and d quantum dot shells. For a double dot, the electronic shells can be understood in terms of interdot tunneling despite the random distribution of As atoms in each quantum dot. The single- and double-dot structures were charged with a finite number of electrons. The many-body Hamiltonian including Coulomb electron-electron interactions was constructed using single atomistic particle states and then diagonalized in the space of many-electron configurations. For a single dot filled with Ne=1-7 electrons, the ground state of a half-filled p-shell configuration with Ne=4 was found with total electronic spin S=1. The low-energy spectrum obtained using exact diagonalization of a Hamiltonian of a charged double dot filled with Ne=8 electrons, i.e., half-filled p shells in each dot, was successfully fitted to the Hubbard-Kanamori and antiferromagnetic Heisenberg spin-1 Hamiltonians. The atomistic simulation confirmed the potential of InAsP/InP quantum dots in a nanowire for the design of synthetic spin chains.

UR - http://www.scopus.com/inward/record.url?scp=85114647107&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.104.125402

DO - 10.1103/PhysRevB.104.125402

M3 - Article

AN - SCOPUS:85114647107

VL - 104

JO - Physical Review B

JF - Physical Review B

SN - 2469-9950

IS - 12

M1 - 125402

ER -