DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Hyperfine and quadrupole interactions for Dy isotopes in DyPc2 molecules

Abstract

Nuclear spin levels play a vital role in understanding magnetization dynamics and implementation and control of quantum bits in lanthanide-based single-molecule magnets. We investigate the hyperfine and nuclear quadrupole interactions for 161Dy and 163Dy nuclei in anionic DyPc2 (Pc=phthalocyanine) single-molecule magnets, using multiconfigurational ab initio methods (beyond density-functional theory) including spin–orbit interaction. The two isotopes of Dy are chosen because the others have zero nuclear spin. Both isotopes have the nuclear spin I=5/2, although the magnitude and sign of the nuclear magnetic moment differ from each other. The large energy gap between the electronic ground and first-excited Kramers doublets, allows us to map the microscopic hyperfine and quadrupole interaction Hamiltonian onto an effective Hamiltonian with an electronic pseudo-spin that corresponds to the ground Kramers doublet. Our ab initio calculations illustrate that the coupling between the nuclear spin and electronic orbital angular momentum contributes the most to the hyperfine interaction and that both the hyperfine and nuclear quadrupole interactions for 161Dy and 163Dy nuclei are much smaller than those for the 159Tb nucleus in TbPc2 single-molecule magnets. The calculated separations of the electronic-nuclear levels are comparable to experimental data reported for 163DyPc2. We demonstrate that hyperfine interaction for the Dy Kramersmore » ion leads to tunnel splitting (or quantum tunneling of magnetization) at zero field. This effect does not occur for TbPc2 single-molecule magnets. The magnetic field values of the avoided level crossings for 161DyPc2 and 163DyPc2 are found to be noticeably different, which can be observed from the experiment.« less

Authors:
ORCiD logo [1];  [1]
  1. Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)
Publication Date:
Research Org.:
Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Chemical Sciences, Geosciences, and Biosciences Division
Contributing Org.:
San Diego Supercomputer Center (SDSC)
OSTI Identifier:
1631161
Grant/Contract Number:  
SC0018326; DMR060009N
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Physics. Condensed Matter
Additional Journal Information:
Journal Volume: 32; Journal Issue: 27; Journal ID: ISSN 0953-8984
Publisher:
IOP Publishing
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; lanthanide single-molecule magnets; hyper ne coupling; nuclear quadrupole interaction; spin-orbit interaction; ab-initio calculations

Citation Formats

Wysocki, Aleksander L., and Park, Kyungwha. Hyperfine and quadrupole interactions for Dy isotopes in DyPc2 molecules. United States: N. p., 2020. Web. doi:10.1088/1361-648X/ab757b.
Wysocki, Aleksander L., & Park, Kyungwha. Hyperfine and quadrupole interactions for Dy isotopes in DyPc2 molecules. United States. https://doi.org/10.1088/1361-648X/ab757b
Wysocki, Aleksander L., and Park, Kyungwha. Thu . "Hyperfine and quadrupole interactions for Dy isotopes in DyPc2 molecules". United States. https://doi.org/10.1088/1361-648X/ab757b. https://www.osti.gov/servlets/purl/1631161.
@article{osti_1631161,
title = {Hyperfine and quadrupole interactions for Dy isotopes in DyPc2 molecules},
author = {Wysocki, Aleksander L. and Park, Kyungwha},
abstractNote = {Nuclear spin levels play a vital role in understanding magnetization dynamics and implementation and control of quantum bits in lanthanide-based single-molecule magnets. We investigate the hyperfine and nuclear quadrupole interactions for 161Dy and 163Dy nuclei in anionic DyPc2 (Pc=phthalocyanine) single-molecule magnets, using multiconfigurational ab initio methods (beyond density-functional theory) including spin–orbit interaction. The two isotopes of Dy are chosen because the others have zero nuclear spin. Both isotopes have the nuclear spin I=5/2, although the magnitude and sign of the nuclear magnetic moment differ from each other. The large energy gap between the electronic ground and first-excited Kramers doublets, allows us to map the microscopic hyperfine and quadrupole interaction Hamiltonian onto an effective Hamiltonian with an electronic pseudo-spin that corresponds to the ground Kramers doublet. Our ab initio calculations illustrate that the coupling between the nuclear spin and electronic orbital angular momentum contributes the most to the hyperfine interaction and that both the hyperfine and nuclear quadrupole interactions for 161Dy and 163Dy nuclei are much smaller than those for the 159Tb nucleus in TbPc2 single-molecule magnets. The calculated separations of the electronic-nuclear levels are comparable to experimental data reported for 163DyPc2. We demonstrate that hyperfine interaction for the Dy Kramers ion leads to tunnel splitting (or quantum tunneling of magnetization) at zero field. This effect does not occur for TbPc2 single-molecule magnets. The magnetic field values of the avoided level crossings for 161DyPc2 and 163DyPc2 are found to be noticeably different, which can be observed from the experiment.},
doi = {10.1088/1361-648X/ab757b},
journal = {Journal of Physics. Condensed Matter},
number = 27,
volume = 32,
place = {United States},
year = {Thu Apr 09 00:00:00 EDT 2020},
month = {Thu Apr 09 00:00:00 EDT 2020}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 4 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Interaction between f-Electronic Systems in Dinuclear Lanthanide Complexes with Phthalocyanines
journal, September 2002

  • Ishikawa, Naoto; Iino, Tomochika; Kaizu, Youkoh
  • Journal of the American Chemical Society, Vol. 124, Issue 38
  • DOI: 10.1021/ja027119n

Lanthanide Double-Decker Complexes Functioning as Magnets at the Single-Molecular Level
journal, July 2003

  • Ishikawa, Naoto; Sugita, Miki; Ishikawa, Tadahiko
  • Journal of the American Chemical Society, Vol. 125, Issue 29
  • DOI: 10.1021/ja029629n

A complete active space SCF method (CASSCF) using a density matrix formulated super-CI approach
journal, May 1980


Molecular spins for quantum computation
journal, March 2019


Isotopic compositions of the elements 1997 (Technical Report)
journal, January 1998


The restricted active space (RAS) state interaction approach with spin–orbit coupling
journal, May 2002


Toward Molecular 4f Single-Ion Magnet Qubits
journal, April 2016

  • Pedersen, Kasper S.; Ariciu, Ana-Maria; McAdams, Simon
  • Journal of the American Chemical Society, Vol. 138, Issue 18
  • DOI: 10.1021/jacs.6b02702

Improving f-element single molecule magnets
journal, January 2015

  • Liddle, Stephen T.; van Slageren, Joris
  • Chemical Society Reviews, Vol. 44, Issue 19
  • DOI: 10.1039/C5CS00222B

Exploiting single-ion anisotropy in the design of f-element single-molecule magnets
journal, January 2011

  • Rinehart, Jeffrey D.; Long, Jeffrey R.
  • Chemical Science, Vol. 2, Issue 11
  • DOI: 10.1039/c1sc00513h

Multireference Ab Initio Studies of Magnetic Properties of Terbium-Based Single-Molecule Magnets
journal, July 2019

  • Pederson, Ryan; Wysocki, Aleksander L.; Mayhall, Nicholas
  • The Journal of Physical Chemistry A, Vol. 123, Issue 32
  • DOI: 10.1021/acs.jpca.9b03708

Strategies towards single molecule magnets based on lanthanide ions
journal, October 2009


Quantum Tunneling of Magnetization in Lanthanide Single-Molecule Magnets: Bis(phthalocyaninato)terbium and Bis(phthalocyaninato)dysprosium Anions
journal, May 2005

  • Ishikawa, Naoto; Sugita, Miki; Wernsdorfer, Wolfgang
  • Angewandte Chemie International Edition, Vol. 44, Issue 19
  • DOI: 10.1002/anie.200462638

Molecular magnetic hysteresis at 60 kelvin in dysprosocenium
journal, August 2017

  • Goodwin, Conrad A. P.; Ortu, Fabrizio; Reta, Daniel
  • Nature, Vol. 548, Issue 7668
  • DOI: 10.1038/nature23447

Density matrix averaged atomic natural orbital (ANO) basis sets for correlated molecular wave functions: I. First row atoms
journal, January 1990

  • Widmark, Per-Olof; Malmqvist, Per-�ke; Roos, Bj�rn O.
  • Theoretica Chimica Acta, Vol. 77, Issue 5
  • DOI: 10.1007/BF01120130

Synthetic Hilbert Space Engineering of Molecular Qu d its: Isotopologue Chemistry
journal, February 2019


Ab Initio Crystal Field for Lanthanides
journal, February 2017

  • Ungur, Liviu; Chibotaru, Liviu F.
  • Chemistry - A European Journal, Vol. 23, Issue 15
  • DOI: 10.1002/chem.201605102

Quantum electrodynamical corrections to the fine structure of helium
journal, January 1974


Nuclear Spin Isomers: Engineering a Et 4 N[DyPc 2 ] Spin Qudit
journal, July 2017

  • Moreno-Pineda, Eufemio; Damjanović, Marko; Fuhr, Olaf
  • Angewandte Chemie International Edition, Vol. 56, Issue 33
  • DOI: 10.1002/anie.201706181

Spin-communication channels between Ln(III) bis-phthalocyanines molecular nanomagnets and a magnetic substrate
journal, February 2016

  • Candini, A.; Klar, D.; Marocchi, S.
  • Scientific Reports, Vol. 6, Issue 1
  • DOI: 10.1038/srep21740

Electrically driven nuclear spin resonance in single-molecule magnets
journal, June 2014


Main Group Atoms and Dimers Studied with a New Relativistic ANO Basis Set
December 2003


Toward Long-Range Entanglement between Electrically Driven Single-Molecule Magnets
journal, November 2019

  • Najafi, Khadijeh; Wysocki, Aleksander L.; Park, Kyungwha
  • The Journal of Physical Chemistry Letters, Vol. 10, Issue 23
  • DOI: 10.1021/acs.jpclett.9b03131

Nature of Hyperfine Interactions in TbPc 2 Single-Molecule Magnets: Multiconfigurational Ab Initio Study
journal, February 2020


A mean-field spin-orbit method applicable to correlated wavefunctions
journal, March 1996


Year-2008 nuclear quadrupole moments
journal, August 2008


Enhancing coherence in molecular spin qubits via atomic clock transitions
journal, March 2016

  • Shiddiq, Muhandis; Komijani, Dorsa; Duan, Yan
  • Nature, Vol. 531, Issue 7594
  • DOI: 10.1038/nature16984

Lanthanides and Actinides in Molecular Magnetism. Edited by Richard A. Layfield and Muralee Murugesu.
journal, November 2015


Molcas 8: New capabilities for multiconfigurational quantum chemical calculations across the periodic table : Molcas 8
journal, November 2015

  • Aquilante, Francesco; Autschbach, Jochen; Carlson, Rebecca K.
  • Journal of Computational Chemistry, Vol. 37, Issue 5
  • DOI: 10.1002/jcc.24221

The role of the quadrupolar interaction in the tunneling dynamics of lanthanide molecular magnets
journal, April 2019

  • Taran, Gheorghe; Bonet, Edgar; Wernsdorfer, Wolfgang
  • Journal of Applied Physics, Vol. 125, Issue 14
  • DOI: 10.1063/1.5079453

Lanthanide Single-Molecule Magnets
journal, March 2013

  • Woodruff, Daniel N.; Winpenny, Richard E. P.; Layfield, Richard A.
  • Chemical Reviews, Vol. 113, Issue 7
  • DOI: 10.1021/cr400018q

Single-molecule magnetism of tetrapyrrole lanthanide compounds with sandwich multiple-decker structures
journal, January 2016


Giant coercivity and high magnetic blocking temperatures for N2 3− radical-bridged dilanthanide complexes upon ligand dissociation
journal, December 2017


Generalized Ramsey interferometry explored with a single nuclear spin qudit
journal, October 2018


Effects from Spin–Orbit Coupling on Electron–Nucleus Hyperfine Coupling Calculated at the Restricted Active Space Level for Kramers Doublets
journal, January 2015

  • Sharkas, Kamal; Pritchard, Ben; Autschbach, Jochen
  • Journal of Chemical Theory and Computation, Vol. 11, Issue 2
  • DOI: 10.1021/ct500988h

Spectroscopic determination of crystal field splittings in lanthanide double deckers
journal, January 2014

  • Marx, R.; Moro, F.; Dörfel, M.
  • Chemical Science, Vol. 5, Issue 8
  • DOI: 10.1039/c4sc00751d

The complete active space SCF (CASSCF) method in a Newton–Raphson formulation with application to the HNO molecule
journal, February 1981

  • Siegbahn, Per E. M.; Almlöf, Jan; Heiberg, Anders
  • The Journal of Chemical Physics, Vol. 74, Issue 4
  • DOI: 10.1063/1.441359

Structure of bis(phthalocyaninato)neodymium(III)
journal, July 1980

  • Kasuga, K.; Tsutsui, M.; Petterson, R. C.
  • Journal of the American Chemical Society, Vol. 102, Issue 14
  • DOI: 10.1021/ja00534a047

Rational Design of Single-Ion Magnets and Spin Qubits Based on Mononuclear Lanthanoid Complexes
journal, October 2012

  • Baldoví, José J.; Cardona-Serra, Salvador; Clemente-Juan, Juan M.
  • Inorganic Chemistry, Vol. 51, Issue 22
  • DOI: 10.1021/ic302068c

Magnetic hysteresis up to 80 kelvin in a dysprosium metallocene single-molecule magnet
journal, October 2018


Coherent Manipulation of a Molecular Ln-Based Nuclear Qudit Coupled to an Electron Qubit
journal, July 2018

  • Hussain, Riaz; Allodi, Giuseppe; Chiesa, Alessandro
  • Journal of the American Chemical Society, Vol. 140, Issue 31
  • DOI: 10.1021/jacs.8b05934

Operating Quantum States in Single Magnetic Molecules: Implementation of Grover’s Quantum Algorithm
journal, November 2017


Spin Hamiltonian for Even-Electron Systems Having Even Multiplicity
journal, October 1963