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Pal S, Benjamin C. Honing in on a topological zero-bias conductance peak. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2023; 36:035601. [PMID: 37813102 DOI: 10.1088/1361-648x/ad0192] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/04/2023] [Accepted: 10/09/2023] [Indexed: 10/11/2023]
Abstract
A popular signature of Majorana bound states in topological superconductors is the quantized zero-energy conductance peak. However, a similar zero energy conductance peak can also arise due to non-topological reasons. Here we show that these trivial and topological zero energy conductance peaks can be distinguished via the zero energy local density of states (LDOSs) and local magnetization density of states (LMDOSs). We find that the zero-energy LDOSs and the LMDOSs exhibit periodic oscillations for a trivial zero-bias conductance peak (ZBCP). In contrast, these oscillations disappear for the topological ZBCP because of perfect Andreev reflection at zero energy in topological superconductor junctions. Our results suggest that the zero-energy LDOSs and the LMDOSs can be used as an experimental probe to distinguish a trivial zero-energy conductance peak from a topological zero-energy conductance peak.
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Affiliation(s)
- Subhajit Pal
- School of Physical Sciences, National Institute of Science Education & Research, Jatni 752050, India
- Homi Bhabha National Institute, Training School Complex, Anushakti Nagar, Mumbai 400094, India
| | - Colin Benjamin
- School of Physical Sciences, National Institute of Science Education & Research, Jatni 752050, India
- Homi Bhabha National Institute, Training School Complex, Anushakti Nagar, Mumbai 400094, India
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2
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Mavragani N, Errulat D, Gálico DA, Kitos AA, Mansikkamäki A, Murugesu M. Radical‐Bridged Ln
4
Metallocene Complexes with Strong Magnetic Coupling and a Large Coercive Field. Angew Chem Int Ed Engl 2021. [DOI: 10.1002/ange.202110813] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
Affiliation(s)
- Niki Mavragani
- Department of Chemistry and Biomolecular Sciences University of Ottawa 10 Marie Curie Ottawa Ontario K1N 6N5 Canada
| | - Dylan Errulat
- Department of Chemistry and Biomolecular Sciences University of Ottawa 10 Marie Curie Ottawa Ontario K1N 6N5 Canada
| | - Diogo A. Gálico
- Department of Chemistry and Biomolecular Sciences University of Ottawa 10 Marie Curie Ottawa Ontario K1N 6N5 Canada
| | - Alexandros A. Kitos
- Department of Chemistry and Biomolecular Sciences University of Ottawa 10 Marie Curie Ottawa Ontario K1N 6N5 Canada
| | | | - Muralee Murugesu
- Department of Chemistry and Biomolecular Sciences University of Ottawa 10 Marie Curie Ottawa Ontario K1N 6N5 Canada
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3
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Mavragani N, Errulat D, Gálico DA, Kitos AA, Mansikkamäki A, Murugesu M. Radical-Bridged Ln 4 Metallocene Complexes with Strong Magnetic Coupling and a Large Coercive Field. Angew Chem Int Ed Engl 2021; 60:24206-24213. [PMID: 34427984 DOI: 10.1002/anie.202110813] [Citation(s) in RCA: 26] [Impact Index Per Article: 8.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/11/2021] [Indexed: 11/05/2022]
Abstract
Inducing magnetic coupling between 4f elements is an ongoing challenge. To overcome this formidable difficulty, we incorporate highly delocalized tetrazinyl radicals, which strongly couple with f-block metallocenes to form discrete tetranuclear complexes. Synthesis, structure, and magnetic properties of two tetranuclear [(Cp*2 Ln)4 (tz. )4 ]⋅3(C6 H6 ) (Cp*=pentamethylcyclopentadienyl; tz=1,2,4,5-tetrazine; Ln=Dy, Gd) complexes are reported. An in-depth examination of their magnetic properties through magnetic susceptibility measurements as well as computational studies support a highly sought-after radical-induced "giant-spin" model. Strong exchange interactions between the LnIII ions and tz. radicals lead to a strong magnet-like behaviour in this molecular magnet with a large coercive field of 30 kOe.
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Affiliation(s)
- Niki Mavragani
- Department of Chemistry and Biomolecular Sciences, University of Ottawa, 10 Marie Curie, Ottawa, Ontario, K1N 6N5, Canada
| | - Dylan Errulat
- Department of Chemistry and Biomolecular Sciences, University of Ottawa, 10 Marie Curie, Ottawa, Ontario, K1N 6N5, Canada
| | - Diogo A Gálico
- Department of Chemistry and Biomolecular Sciences, University of Ottawa, 10 Marie Curie, Ottawa, Ontario, K1N 6N5, Canada
| | - Alexandros A Kitos
- Department of Chemistry and Biomolecular Sciences, University of Ottawa, 10 Marie Curie, Ottawa, Ontario, K1N 6N5, Canada
| | | | - Muralee Murugesu
- Department of Chemistry and Biomolecular Sciences, University of Ottawa, 10 Marie Curie, Ottawa, Ontario, K1N 6N5, Canada
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4
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Rajeshkumar T, Jose R, Rajaraman G. Magnetic coupling in oximato bridged {MnIII6} clusters bridged by diamagnetic dicyano-metallato linkers: A theoretical perspective. Polyhedron 2021. [DOI: 10.1016/j.poly.2021.115346] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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5
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Baker ML, Wu SQ, Kang S, Matsuzawa S, Arrio MA, Narumi Y, Kihara T, Nakamura T, Kotani Y, Sato O, Nojiri H. Electron-Transfer Activity in a Cyanide-Bridged Fe42 Nanomagnet. Inorg Chem 2019; 58:10160-10166. [DOI: 10.1021/acs.inorgchem.9b01216] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Michael L. Baker
- The School of Chemistry, The University of Manchester at Harwell, Didcot OX11 OFA, U.K
- The School of Chemistry, The University of Manchester, Manchester M139PL, U.K
| | - Shu-Qi Wu
- Institute for Materials Chemistry and Engineering, Kyushu University, 744 Motooka, Nishi-ku, Fukuoka 819-0395, Japan
| | - Soonchul Kang
- Department of Chemical Engineering, Graduate School of Engineering, Hiroshima University, 1-4-1 Kagamiyama, Higashihiroshima, Hiroshima 739-8527, Japan
| | - Satoshi Matsuzawa
- Institute for Materials Research, Tohoku University, Katahira, Sendai 980-8577, Japan
| | - Marie-Anne Arrio
- Institut de Minéralogie, de Physique des Matériaux et de Cosmochimie, CNRS, Sorbonne Université, IRD, MNHN, UMR7590, 75252 Paris Cedex 05, France
| | - Yasuo Narumi
- Center of Advanced High Magnetic Field Science, Osaka University, Toyonaka 1-1, Osaka 560-0043, Japan
| | - Takumi Kihara
- Institute for Materials Research, Tohoku University, Katahira, Sendai 980-8577, Japan
| | - Tetsuya Nakamura
- Japan Synchrotron Radiation Research Institute (JASRI), Sayo, Hyogo 679-5198, Japan
| | - Yoshinori Kotani
- Japan Synchrotron Radiation Research Institute (JASRI), Sayo, Hyogo 679-5198, Japan
| | - Osamu Sato
- Institute for Materials Chemistry and Engineering, Kyushu University, 744 Motooka, Nishi-ku, Fukuoka 819-0395, Japan
| | - Hiroyuki Nojiri
- Institute for Materials Research, Tohoku University, Katahira, Sendai 980-8577, Japan
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6
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Singh MK, Rajaraman G. Theoretical Studies on Hexanuclear [M 3(μ 3-O/OH)] 2 (M = Fe(III), Mn(III), and Ni(II)) Clusters: Magnetic Exchange, Magnetic Anisotropy, and Magneto-Structural Correlations. Inorg Chem 2019; 58:3175-3188. [PMID: 30741554 DOI: 10.1021/acs.inorgchem.8b03257] [Citation(s) in RCA: 26] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Controlling spin Hamiltonian parameters such as magnetic exchange and magnetic anisotropy of polynuclear clusters is of great interest in the area of single molecule magnets (SMMs). Among large polynuclear clusters, hexanuclear clusters offer the best compromise in terms of size as they are often rigid, solution stable, and chemically amenable. The {M6O2} core is one of the common architectures known for many hexanuclear clusters and generally reported to possess a diamagnetic ST = 0 spin ground state, barring a few exceptions. In these clusters, there are several open questions that are poorly understood: (a) What controls the nature of magnetic exchange, which in turn dictates the ground state spin values? (b) For clusters possessing a nonzero spin ground state, what dictates the magnetic anisotropy? Here, using density functional methods, we have attempted to shed light on these two question by evaluating the exchange coupling constants in [Fe6IIIO2(OH)2{(C4N2H2SMe)2C(OH)O}2( tBuCO2)10] (1), [Fe6III(O)2(O2CH2)(O2CCH2 tBu)12(py)2] (2), [Fe6III(O2)(O)2(O2CCMe3)12(py)2] (3), [FeIII6O3(O2CMe)9(OEt)2(bpy)2]ClO4 (4), [MnIII6O2(O2CH2)(O2CPe t)11(HO2CPe t)2(O2CMe)] (5), and [NiII6(OH)4(O2C tBu)8( tBuCO2H)4] (6) complexes. We have estimated all the eight near-neighbor exchange coupling constants in these clusters. Our calculations not only agree with the experimental results but also offer insight on the origin of the spin ground state. Extensive magneto-structural correlations developed by varying M-O-M angles and M-O distances reveal that J values are extremely sensitive to small structural distortions. Correlations developed indicate that both the parameters are important for Fe(III), but for Mn(III) and Ni(II), the angles were found to play a dominant role. Quite interestingly, the computed zero-field splitting parameter D S=5 of complex 1 reveals that the exchange contribution to the anisotropy controls the sign of the ground state D value-an observation which differs from the general perception that the ground state D is controlled by the single-ion zero-field splitting parameter.
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Affiliation(s)
- Mukesh Kumar Singh
- Department of Chemistry , Indian Institute of Technology Bombay , Powai, Mumbai , Maharashtra , India - 400076
| | - Gopalan Rajaraman
- Department of Chemistry , Indian Institute of Technology Bombay , Powai, Mumbai , Maharashtra , India - 400076
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7
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Multicomponent halide templating: The effect of structure-directing agents on the assembly of molecular and extended coordination compounds. Coord Chem Rev 2018. [DOI: 10.1016/j.ccr.2018.05.014] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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8
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Gillon B, Hammerschmied A, Gukasov A, Cousson A, Cauchy T, Ruiz E, Schlueter JA, Manson JL. H‐Mediated Magnetic Interactions between Layers in a 2D Mn
II
–Dicyanamide Polymer: Neutron Diffraction, DFT, and Quantum Monte Carlo Calculations. Eur J Inorg Chem 2018. [DOI: 10.1002/ejic.201700971] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
Affiliation(s)
- Béatrice Gillon
- Laboratoire Léon Brillouin (LLB) CEA‐CNRS CE Saclay 91191 Gif‐sur‐Yvette Cedex France
| | - Albert Hammerschmied
- Laboratoire Léon Brillouin (LLB) CEA‐CNRS CE Saclay 91191 Gif‐sur‐Yvette Cedex France
| | - Arsen Gukasov
- Laboratoire Léon Brillouin (LLB) CEA‐CNRS CE Saclay 91191 Gif‐sur‐Yvette Cedex France
| | - Alain Cousson
- Laboratoire Léon Brillouin (LLB) CEA‐CNRS CE Saclay 91191 Gif‐sur‐Yvette Cedex France
| | - Thomas Cauchy
- Laboratoire MOLTECH‐Anjou Université d'Angers, CNRS UMR, 6200 2 bd Lavoisier 49045 Angers Cedex France
| | - Eliseo Ruiz
- Departament de Química Inorgànica i Orgànica and Institut de Química Teòrica i Computacional Universitat de Barcelona Diagonal 645 08028 Barcelona Spain
| | - John A. Schlueter
- Materials Science Division Argonne National Laboratory Bldg. 200, 9700 S. Cass Avenue 60439 Argonne IL USA
| | - Jamie L. Manson
- Department of Chemistry, Biochemistry and Physics Eastern Washington University 99004 Cheney WA USA
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9
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Hooper TN, Langley SK, Gómez-Coca S, Lorusso G, Ruiz E, Murray KS, Evangelisti M, Brechin EK. Coming full circle: constructing a [Gd6] wheel dimer by dimer and the importance of spin topology. Dalton Trans 2017; 46:10255-10263. [DOI: 10.1039/c7dt02281f] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Conversion of dimer → linear tetramer → cyclic hexamer reveals remarkable topological size effects.
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Affiliation(s)
- Thomas N. Hooper
- EaStCHEM School of Chemistry
- The University of Edinburgh
- Edinburgh
- UK
| | | | - Silvia Gómez-Coca
- Departament de Química Inorgànica I Orgànica and Institut de Recerca de Química Teòrica i Computacional
- Universitat de Barcelona
- 08028 Barcelona
- Spain
| | - Giulia Lorusso
- Instituto de Ciencia de Materiales de Aragón
- CSIC-Universidad de Zaragoza
- 50009 Zaragoza
- Spain
| | - Eliseo Ruiz
- Departament de Química Inorgànica I Orgànica and Institut de Recerca de Química Teòrica i Computacional
- Universitat de Barcelona
- 08028 Barcelona
- Spain
| | | | - Marco Evangelisti
- Instituto de Ciencia de Materiales de Aragón
- CSIC-Universidad de Zaragoza
- 50009 Zaragoza
- Spain
| | - Euan K. Brechin
- EaStCHEM School of Chemistry
- The University of Edinburgh
- Edinburgh
- UK
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10
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Aravena D, Venegas-Yazigi D, Ruiz E. Single-Molecule Magnet Properties of Transition-Metal Ions Encapsulated in Lacunary Polyoxometalates: A Theoretical Study. Inorg Chem 2016; 55:6405-13. [DOI: 10.1021/acs.inorgchem.6b00145] [Citation(s) in RCA: 18] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Daniel Aravena
- Departamento
de Química de los Materiales, Facultad de Química y
Biología, Universidad de Santiago de Chile, Casilla 40,
Correo 33, Santiago, Chile
| | - Diego Venegas-Yazigi
- Departamento
de Química de los Materiales, Facultad de Química y
Biología, Universidad de Santiago de Chile, Casilla 40,
Correo 33, Santiago, Chile
- Centro
Para El Desarrollo de Nanociencias y Nanotecnología, CEDENNA, Santiago, Chile
| | - Eliseo Ruiz
- Departament
de Química Inorgànica i Orgànica and Institut
de Química Teòrica i Computacional, Universitat de Barcelona, Diagonal 645, 08028 Barcelona, Spain
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11
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Cirera J, Jiang Y, Qin L, Zheng YZ, Li G, Wu G, Ruiz E. Ferromagnetism in polynuclear systems based on non-linear [MnII2MnIII] building blocks. Inorg Chem Front 2016. [DOI: 10.1039/c6qi00189k] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Design of new polynuclear transition metal complexes showing ferromagnetic interactions to achieve high spin values is an important challenge due to the scarcity of bridging ligands that provide such coupling.
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Affiliation(s)
- Jordi Cirera
- Departament de Química Inorgànica i Orgànica and Institut de Química Teòrica i Computacional
- Universitat de Barcelona
- 08028 Barcelona
- Spain
| | - Yuan Jiang
- State Key Laboratory of Inorganic Synthesis & Preparative Chemistry
- Jilin University
- Changchun 130012
- China
| | - Lei Qin
- Centre for Applied Chemical Research
- Frontier Institute of Science and Technology
- Xi'an Jiaotong University
- Xi'an 710054
- China
| | - Yan-Zhen Zheng
- Centre for Applied Chemical Research
- Frontier Institute of Science and Technology
- Xi'an Jiaotong University
- Xi'an 710054
- China
| | - Guanghua Li
- State Key Laboratory of Inorganic Synthesis & Preparative Chemistry
- Jilin University
- Changchun 130012
- China
| | - Gang Wu
- State Key Laboratory of Inorganic Synthesis & Preparative Chemistry
- Jilin University
- Changchun 130012
- China
| | - Eliseo Ruiz
- Departament de Química Inorgànica i Orgànica and Institut de Química Teòrica i Computacional
- Universitat de Barcelona
- 08028 Barcelona
- Spain
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