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Fomin VM, Rezaev RO, Dobrovolskiy OV. Topological transitions in ac/dc-driven superconductor nanotubes. Sci Rep 2022; 12:10069. [PMID: 35710913 PMCID: PMC9203797 DOI: 10.1038/s41598-022-13543-0] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/18/2021] [Accepted: 05/25/2022] [Indexed: 11/09/2022] Open
Abstract
Extending of nanostructures into the third dimension has become a major research avenue in condensed-matter physics, because of geometry- and topology-induced phenomena. In this regard, superconductor 3D nanoarchitectures feature magnetic field inhomogeneity, non-trivial topology of Meissner currents and complex dynamics of topological defects. Here, we investigate theoretically topological transitions in the dynamics of vortices and slips of the phase of the order parameter in open superconductor nanotubes under a modulated transport current. Relying upon the time-dependent Ginzburg–Landau equation, we reveal two distinct voltage regimes when (i) a dominant part of the tube is in either the normal or superconducting state and (ii) a complex interplay between vortices, phase-slip regions and screening currents determines a rich FFT voltage spectrum. Our findings unveil novel dynamical states in superconductor open nanotubes, such as paraxial and azimuthal phase-slip regions, their branching and coexistence with vortices, and allow for control of these states by superimposed dc and ac current stimuli.
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Affiliation(s)
- Vladimir M Fomin
- Institute for Integrative Nanosciences, Leibniz IFW Dresden, Helmholtzstraße 20, 01069, Dresden, Germany. .,Laboratory of Physics and Engineering of Nanomaterials, Department of Theoretical Physics, Moldova State University, strada A. Mateevici 60, 2009, Chisinau, Republic of Moldova. .,Institute of Engineering Physics for Biomedicine, National Research Nuclear University "MEPhI", Kashirskoe shosse 31, Moscow, 115409, Russia.
| | - Roman O Rezaev
- Tomsk Polytechnic University, Lenin av. 30, Tomsk, 634050, Russia
| | - Oleksandr V Dobrovolskiy
- University of Vienna, Faculty of Physics, Nanomagnetism and Magnonics, Superconductivity and Spintronics Laboratory, Währinger Str. 17, 1090, Vienna, Austria
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Chen C, Bai L, Zhang J, Tian L, Zhou Q, Zhou H, Li D, Mu X. Resonant Magnetometer for Ultralow Magnetic Field Detection by Integrating Magnetoelastic Membrane on Film Bulk Acoustic Resonator. IEEE TRANSACTIONS ON ULTRASONICS, FERROELECTRICS, AND FREQUENCY CONTROL 2022; 69:1452-1460. [PMID: 35041602 DOI: 10.1109/tuffc.2022.3144392] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/14/2023]
Abstract
Here, we report on a composite nanomechanical resonant magnetometer with magnetoelastic thin film integrated on the surface of a film bulk acoustic resonator (FBAR). By exploiting the delta-E effect of magnetoelastic thin film and resonance characteristic in piezoelectric thin film, we theoretically and experimentally demonstrate the capability to realize ultrahigh resonance frequency and excellent magnetic field sensitivity in such composite configuration, thereby greatly improving the limit of detection of weak magnetic field. The proposed FBAR-based resonant magnetometer achieves maximum magnetic sensitivity of 137 kHz/Oe in a proof-of-concept device without structural optimization, corresponding to a noise equivalent power as low as 7 nT/Hz1/2. Further study indicates that by optimizing the thicknesses of the magnetic sensitive layer and piezoelectric layer, an unprecedented sensitivity of 5 GHz/Oe with an exceptional limit of detection of weak magnetic field down to 190 [Formula: see text]/Hz1/2 could be potentially achieved. Our work provides a forward new and exciting route toward ultralow magnetic field detection in civilian and military applications.
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Makarov D, Volkov OM, Kákay A, Pylypovskyi OV, Budinská B, Dobrovolskiy OV. New Dimension in Magnetism and Superconductivity: 3D and Curvilinear Nanoarchitectures. ADVANCED MATERIALS (DEERFIELD BEACH, FLA.) 2022; 34:e2101758. [PMID: 34705309 PMCID: PMC11469131 DOI: 10.1002/adma.202101758] [Citation(s) in RCA: 23] [Impact Index Per Article: 7.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/04/2021] [Revised: 05/16/2021] [Indexed: 06/13/2023]
Abstract
Traditionally, the primary field, where curvature has been at the heart of research, is the theory of general relativity. In recent studies, however, the impact of curvilinear geometry enters various disciplines, ranging from solid-state physics over soft-matter physics, chemistry, and biology to mathematics, giving rise to a plethora of emerging domains such as curvilinear nematics, curvilinear studies of cell biology, curvilinear semiconductors, superfluidity, optics, 2D van der Waals materials, plasmonics, magnetism, and superconductivity. Here, the state of the art is summarized and prospects for future research in curvilinear solid-state systems exhibiting such fundamental cooperative phenomena as ferromagnetism, antiferromagnetism, and superconductivity are outlined. Highlighting the recent developments and current challenges in theory, fabrication, and characterization of curvilinear micro- and nanostructures, special attention is paid to perspective research directions entailing new physics and to their strong application potential. Overall, the perspective is aimed at crossing the boundaries between the magnetism and superconductivity communities and drawing attention to the conceptual aspects of how extension of structures into the third dimension and curvilinear geometry can modify existing and aid launching novel functionalities. In addition, the perspective should stimulate the development and dissemination of research and development oriented techniques to facilitate rapid transitions from laboratory demonstrations to industry-ready prototypes and eventual products.
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Affiliation(s)
- Denys Makarov
- Helmholtz‐Zentrum Dresden ‐ Rossendorf e.V.Institute of Ion Beam Physics and Materials Research01328DresdenGermany
| | - Oleksii M. Volkov
- Helmholtz‐Zentrum Dresden ‐ Rossendorf e.V.Institute of Ion Beam Physics and Materials Research01328DresdenGermany
| | - Attila Kákay
- Helmholtz‐Zentrum Dresden ‐ Rossendorf e.V.Institute of Ion Beam Physics and Materials Research01328DresdenGermany
| | - Oleksandr V. Pylypovskyi
- Helmholtz‐Zentrum Dresden ‐ Rossendorf e.V.Institute of Ion Beam Physics and Materials Research01328DresdenGermany
- Kyiv Academic UniversityKyiv03142Ukraine
| | - Barbora Budinská
- Superconductivity and Spintronics LaboratoryNanomagnetism and MagnonicsFaculty of PhysicsUniversity of ViennaVienna1090Austria
| | - Oleksandr V. Dobrovolskiy
- Superconductivity and Spintronics LaboratoryNanomagnetism and MagnonicsFaculty of PhysicsUniversity of ViennaVienna1090Austria
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Fabrication Process for Deep Submicron SQUID Circuits with Three Independent Niobium Layers. MICROMACHINES 2021; 12:mi12040350. [PMID: 33805232 PMCID: PMC8064365 DOI: 10.3390/mi12040350] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 02/22/2021] [Revised: 03/17/2021] [Accepted: 03/17/2021] [Indexed: 11/17/2022]
Abstract
We present a fabrication technology for nanoscale superconducting quantum interference devices (SQUIDs) with overdamped superconductor-normal metal-superconductor (SNS) trilayer Nb/HfTi/Nb Josephson junctions. A combination of electron-beam lithography with chemical-mechanical polishing and magnetron sputtering on thermally oxidized Si wafers is used to produce direct current SQUIDs with 100-nm-lateral dimensions for Nb lines and junctions. We extended the process from originally two to three independent Nb layers. This extension offers the possibility to realize superconducting vias to all Nb layers without the HfTi barrier, and hence to increase the density and complexity of circuit structures. We present results on the yield of this process and measurements of SQUID characteristics.
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Lin J, Linek J, Kleiner R, Koelle D. NanoSQUIDs from YBa 2Cu 3O 7/SrTiO 3 superlattices with bicrystal grain boundary Josephson junctions. NANOSCALE 2020; 12:20016-20024. [PMID: 32996990 DOI: 10.1039/d0nr05446a] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/11/2023]
Abstract
We report on the fabrication and characterization of nanopatterned dc SQUIDs with grain boundary Josephson junctions based on heteroepitaxially grown YBa2Cu3O7 (YBCO)/SiTrO3 (STO) superlattices on STO bicrystal substrates. Nanopatterning is performed by Ga focused-ion-beam milling. The electric transport properties and thermal white flux noise of superlattice nanoSQUIDs are comparable to single layer YBCO devices on STO bicrystals. However, we find that the superlattice nanoSQUIDs have more than an order of magnitude smaller low-frequency excess flux noise, with root-mean-square spectral density at 1 Hz (Φ0 is the magnetic flux quantum). We attribute this improvement to an improved microstructure at the grain boundaries forming the Josephson junctions in our YBCO nanoSQUDs.
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Affiliation(s)
- Jianxin Lin
- Physikalisches Institut, Center for Quantum Science (CQ) and LISA+, University of Tübingen, Auf der Morgenstelle 14, 72076 Tübingen, Germany.
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Fernández-Pacheco A, Skoric L, De Teresa JM, Pablo-Navarro J, Huth M, Dobrovolskiy OV. Writing 3D Nanomagnets Using Focused Electron Beams. MATERIALS (BASEL, SWITZERLAND) 2020; 13:E3774. [PMID: 32859076 PMCID: PMC7503546 DOI: 10.3390/ma13173774] [Citation(s) in RCA: 36] [Impact Index Per Article: 7.2] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 06/30/2020] [Revised: 08/10/2020] [Accepted: 08/20/2020] [Indexed: 12/18/2022]
Abstract
Focused electron beam induced deposition (FEBID) is a direct-write nanofabrication technique able to pattern three-dimensional magnetic nanostructures at resolutions comparable to the characteristic magnetic length scales. FEBID is thus a powerful tool for 3D nanomagnetism which enables unique fundamental studies involving complex 3D geometries, as well as nano-prototyping and specialized applications compatible with low throughputs. In this focused review, we discuss recent developments of this technique for applications in 3D nanomagnetism, namely the substantial progress on FEBID computational methods, and new routes followed to tune the magnetic properties of ferromagnetic FEBID materials. We also review a selection of recent works involving FEBID 3D nanostructures in areas such as scanning probe microscopy sensing, magnetic frustration phenomena, curvilinear magnetism, magnonics and fluxonics, offering a wide perspective of the important role FEBID is likely to have in the coming years in the study of new phenomena involving 3D magnetic nanostructures.
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Affiliation(s)
- Amalio Fernández-Pacheco
- SUPA, School of Physics and Astronomy, University of Glasgow, Glasgow G12 8QQ, UK
- Cavendish Laboratory, University of Cambridge, JJ Thomson Avenue, Cambridge CB3 0HE, UK;
| | - Luka Skoric
- Cavendish Laboratory, University of Cambridge, JJ Thomson Avenue, Cambridge CB3 0HE, UK;
| | - José María De Teresa
- Instituto de Nanociencia y Materiales de Aragón (INMA), Universidad de Zaragoza-CSIC, 50009 Zaragoza, Spain
- Laboratorio de Microscopías Avanzadas (LMA) and Departamento de Física de la Materia Condensada, Universidad de Zaragoza, 50009 Zaragoza, Spain;
| | - Javier Pablo-Navarro
- Laboratorio de Microscopías Avanzadas (LMA) and Departamento de Física de la Materia Condensada, Universidad de Zaragoza, 50009 Zaragoza, Spain;
- Institute of Ion Beam Physics and Materials Research, Helmholtz-Zentrum Dresden-Rossendorf, 01328 Dresden, Germany
| | - Michael Huth
- Institute of Physics, Goethe University Frankfurt, 60438 Frankfurt am Main, Germany;
| | - Oleksandr V. Dobrovolskiy
- Institute of Physics, Goethe University Frankfurt, 60438 Frankfurt am Main, Germany;
- Faculty of Physics, University of Vienna, 1090 Vienna, Austria
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Lin J, Müller B, Linek J, Karrer M, Wenzel M, Martínez-Pérez MJ, Kleiner R, Koelle D. YBa 2Cu 3O 7 nano superconducting quantum interference devices on MgO bicrystal substrates. NANOSCALE 2020; 12:5658-5668. [PMID: 32101218 DOI: 10.1039/c9nr10506a] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
We report on nanopatterned YBa2Cu3O7-δ (YBCO) direct current superconducting quantum interference devices (SQUIDs) based on grain boundary Josephson junctions. The nanoSQUIDs are fabricated by epitaxial growth of 120 nm-thick films of the high-transition temperature cuprate superconductor YBCO via pulsed laser deposition on MgO bicrystal substrates with 24° misorientation angle, followed by sputtering of dAu = 65 nm thick Au. Nanopatterning is performed by Ga focused ion beam (FIB) milling. The SQUID performance is comparable to devices on SrTiO3 (STO), as demonstrated by electric transport and noise measurements at 4.2 K. MgO has orders of magnitude smaller dielectric permittivity than STO; i.e., one may avoid Au as a resistively shunting layer to reduce the intrinsic thermal flux noise of the nanoSQUIDs. However, we find that the Au layer is important for avoiding degradation during FIB milling. Hence, we compare devices with different dAu produced by thinning the Au layer via Ar ion milling after FIB patterning. We find that the reduction of dAu yields an increase in junction resistance, however at the expense of a reduction of the critical current and increase in SQUID inductance. This results in an estimated thermal flux noise that is almost independent of dAu. However, for two devices on MgO with 65 nm-thick Au, we find an order of magnitude lower low-frequency excess noise as compared to nanoSQUIDs on STO or those on MgO with reduced dAu. For one of those devices we obtain with bias-reversal readout ultra-low flux noise of ∼175 nΦ0 Hz-1/2 down to ∼10 Hz.
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Affiliation(s)
- Jianxin Lin
- Physikalisches Institut - Experimentalphysik II and Center for Quantum Science (CQ) in LISA+, University of Tübingen, Auf der Morgenstelle 14, 72076 Tübingen, Germany.
| | - Benedikt Müller
- Physikalisches Institut - Experimentalphysik II and Center for Quantum Science (CQ) in LISA+, University of Tübingen, Auf der Morgenstelle 14, 72076 Tübingen, Germany.
| | - Julian Linek
- Physikalisches Institut - Experimentalphysik II and Center for Quantum Science (CQ) in LISA+, University of Tübingen, Auf der Morgenstelle 14, 72076 Tübingen, Germany.
| | - Max Karrer
- Physikalisches Institut - Experimentalphysik II and Center for Quantum Science (CQ) in LISA+, University of Tübingen, Auf der Morgenstelle 14, 72076 Tübingen, Germany.
| | - Malte Wenzel
- Physikalisches Institut - Experimentalphysik II and Center for Quantum Science (CQ) in LISA+, University of Tübingen, Auf der Morgenstelle 14, 72076 Tübingen, Germany.
| | - Maria José Martínez-Pérez
- Instituto de Ciencia de Materiales de Aragón and Departamento de Física de la Materia Condensada, CSIC-Universidad de Zaragoza, 50009 Zaragoza, Spain and Fundacíon ARAID, Avda. de Ranillas, 50018 Zaragoza, Spain
| | - Reinhold Kleiner
- Physikalisches Institut - Experimentalphysik II and Center for Quantum Science (CQ) in LISA+, University of Tübingen, Auf der Morgenstelle 14, 72076 Tübingen, Germany.
| | - Dieter Koelle
- Physikalisches Institut - Experimentalphysik II and Center for Quantum Science (CQ) in LISA+, University of Tübingen, Auf der Morgenstelle 14, 72076 Tübingen, Germany.
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Anahory Y, Naren HR, Lachman EO, Buhbut Sinai S, Uri A, Embon L, Yaakobi E, Myasoedov Y, Huber ME, Klajn R, Zeldov E. SQUID-on-tip with single-electron spin sensitivity for high-field and ultra-low temperature nanomagnetic imaging. NANOSCALE 2020; 12:3174-3182. [PMID: 31967152 DOI: 10.1039/c9nr08578e] [Citation(s) in RCA: 18] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
Scanning nanoscale superconducting quantum interference devices (nanoSQUIDs) are of growing interest for highly sensitive quantitative imaging of magnetic, spintronic, and transport properties of low-dimensional systems. Utilizing specifically designed grooved quartz capillaries pulled into a sharp pipette, we have fabricated the smallest SQUID-on-tip (SOT) devices with effective diameters down to 39 nm. Integration of a resistive shunt in close proximity to the pipette apex combined with self-aligned deposition of In and Sn, has resulted in SOTs with a flux noise of 42 nΦ0 Hz-1/2, yielding a record low spin noise of 0.29 μB Hz-1/2. In addition, the new SOTs function at sub-Kelvin temperatures and in high magnetic fields of over 2.5 T. Integrating the SOTs into a scanning probe microscope allowed us to image the stray field of a single Fe3O4 nanocube at 300 mK. Our results show that the easy magnetization axis direction undergoes a transition from the 〈111〉 direction at room temperature to an in-plane orientation, which could be attributed to the Verwey phase transition in Fe3O4.
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Affiliation(s)
- Y Anahory
- Racah Institute of Physics, The Hebrew University, Jerusalem 9190401, Israel.
| | - H R Naren
- Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 7610001, Israel
| | - E O Lachman
- Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 7610001, Israel
| | - S Buhbut Sinai
- Department of Organic Chemistry, Weizmann Institute of Science, Rehovot 7610001, Israel
| | - A Uri
- Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 7610001, Israel
| | - L Embon
- Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 7610001, Israel
| | - E Yaakobi
- Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 7610001, Israel
| | - Y Myasoedov
- Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 7610001, Israel
| | - M E Huber
- Departments of Physics and Electrical Engineering, University of Colorado Denver, Denver 80217, USA
| | - R Klajn
- Department of Organic Chemistry, Weizmann Institute of Science, Rehovot 7610001, Israel
| | - E Zeldov
- Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 7610001, Israel
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Martínez-Pérez MJ, Müller B, Lin J, Rodriguez LA, Snoeck E, Kleiner R, Sesé J, Koelle D. Magnetic vortex nucleation and annihilation in bi-stable ultra-small ferromagnetic particles. NANOSCALE 2020; 12:2587-2595. [PMID: 31939948 DOI: 10.1039/c9nr08557b] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
Vortex-mediated magnetization reversal in individual ultra-small (∼100 nm) ferromagnetic particles at low temperatures is studied by nanoSQUID magnetometry. At zero applied bias field, the flux-closure magnetic state (vortex) and the quasi uniform configuration are bi-stable. This stems from the extremely small size of the nanoparticles that lies very close to the limit of single-domain formation. The analysis of the temperature-dependent (from 0.3 to 70 K) hysteresis of the magnetization allows us to infer the nature of the ground state magnetization configuration. The latter corresponds to a vortex state as also confirmed by electron holography experiments. Based on the simultaneous analysis of the vortex nucleation and annihilation data, we estimate the magnitude of the energy barriers separating the quasi single-domain and the vortex state and their field dependence. For this purpose, we use a modified power-law scaling of the energy barriers as a function of the applied bias field. These studies are essential to test the thermal and temporal stability of flux-closure states stabilized in ultra-small ferromagnets.
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Affiliation(s)
- M J Martínez-Pérez
- Instituto de Ciencia de Materiales de Aragón and Departamento de Física de la Materia Condensada, CSIC-Universidad de Zaragoza, 50009 Zaragoza, Spain. and Fundación ARAID, Avda. de Ranillas, 50018 Zaragoza, Spain
| | - B Müller
- Physikalisches Institut - Experimentalphysik II and Center for Quantum Science (CQ) in LISA+, Universität Tübingen, Auf der Morgenstelle 14, D-72076 Tübingen, Germany
| | - J Lin
- Physikalisches Institut - Experimentalphysik II and Center for Quantum Science (CQ) in LISA+, Universität Tübingen, Auf der Morgenstelle 14, D-72076 Tübingen, Germany
| | - L A Rodriguez
- Departamento de Física, Universidad del Valle, A.A. 25360, Cali, Colombia and Center of Excellence on Novel Materials - CENM, Universidad del Valle, A.A. 25360, Cali, Colombia
| | - E Snoeck
- CEMES-CNRS 29, rue Jeanne Marvig, B.P. 94347, F-31055 Toulouse Cedex, France
| | - R Kleiner
- Physikalisches Institut - Experimentalphysik II and Center for Quantum Science (CQ) in LISA+, Universität Tübingen, Auf der Morgenstelle 14, D-72076 Tübingen, Germany
| | - J Sesé
- Instituto de Ciencia de Materiales de Aragón and Departamento de Física de la Materia Condensada, CSIC-Universidad de Zaragoza, 50009 Zaragoza, Spain. and Laboratorio de Microscopías Avanzadas (LMA), Instituto de Nanociencia de Aragón (INA), Universidad de Zaragoza, 50018 Zaragoza, Spain
| | - D Koelle
- Physikalisches Institut - Experimentalphysik II and Center for Quantum Science (CQ) in LISA+, Universität Tübingen, Auf der Morgenstelle 14, D-72076 Tübingen, Germany
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