Vortices with magnetic field inversion in noncentrosymmetric superconductors

Garaud, Julien; Chernodub, Maxim N.; Kharzeev, Dmitri E.

doi:10.1103/physrevb.102.184516

Title: Vortices with magnetic field inversion in noncentrosymmetric superconductors

Abstract

Superconducting materials with noncentrosymmetric lattices lacking space inversion symmetry exhibit a variety of interesting parity-breaking phenomena, including the magneto-electric effect, spin-polarized currents, helical states, and the unusual Josephson effect. In this paper, we demonstrate, within a Ginzburg-Landau framework describing noncentrosymmetric superconductors with O point group symmetry, that vortices can exhibit an inversion of the magnetic field at a certain distance from the vortex core. In stark contrast to conventional superconducting vortices, the magnetic-field reversal in the parity-broken superconductor leads to non-monotonic intervortex forces, and, as a consequence, to the exotic properties of the vortex matter such as the formation of vortex bound states, vortex clusters, and the appearance of metastable vortex/anti-vortex bound states.

Authors:

^[1];

^[2];

^[3]

Univ. de Tours (France)
Univ. de Tours (France); Far Eastern Federal Univ. Vladivostok (Russia)
Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN Research Center; Stony Brook Univ., NY (United States); Loire Valley Inst. for Advanced Sciences (France)

Publication Date:: Wed Nov 25 00:00:00 EST 2020

Research Org.:: Brookhaven National Laboratory (BNL), Upton, NY (United States); Stony Brook Univ., NY (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), Basic Energy Sciences (BES); Ministry of Science and Higher Education of Russia

OSTI Identifier:: 1737439

Alternate Identifier(s):: OSTI ID: 2280526

Report Number(s):: BNL-220726-2020-JAAM
Journal ID: ISSN 2469-9950; TRN: US2205319

Grant/Contract Number:: SC0012704; SC0017662; AC02-98CH10886; FG-88ER40388; 0657-2020-0015; FG02-88ER40388

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review. B

Additional Journal Information:: Journal Volume: 102; Journal Issue: 18; Journal ID: ISSN 2469-9950

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats


                    Garaud, Julien, Chernodub, Maxim N., and Kharzeev, Dmitri E. Vortices with magnetic field inversion in noncentrosymmetric superconductors.  United States: N. p., 2020. 
Web.  doi:10.1103/physrevb.102.184516.

Copy to clipboard


                    Garaud, Julien, Chernodub, Maxim N., & Kharzeev, Dmitri E. Vortices with magnetic field inversion in noncentrosymmetric superconductors.  United States.  https://doi.org/10.1103/physrevb.102.184516

Copy to clipboard


                    Garaud, Julien, Chernodub, Maxim N., and Kharzeev, Dmitri E. Wed .  
"Vortices with magnetic field inversion in noncentrosymmetric superconductors".  United States.  https://doi.org/10.1103/physrevb.102.184516.  https://www.osti.gov/servlets/purl/1737439.

Copy to clipboard


                    
@article{osti_1737439,

  title        = {Vortices with magnetic field inversion in noncentrosymmetric superconductors},

  author       = {Garaud, Julien and Chernodub, Maxim N. and Kharzeev, Dmitri E.},

  abstractNote = {Superconducting materials with noncentrosymmetric lattices lacking space inversion symmetry exhibit a variety of interesting parity-breaking phenomena, including the magneto-electric effect, spin-polarized currents, helical states, and the unusual Josephson effect. In this paper, we demonstrate, within a Ginzburg-Landau framework describing noncentrosymmetric superconductors with O point group symmetry, that vortices can exhibit an inversion of the magnetic field at a certain distance from the vortex core. In stark contrast to conventional superconducting vortices, the magnetic-field reversal in the parity-broken superconductor leads to non-monotonic intervortex forces, and, as a consequence, to the exotic properties of the vortex matter such as the formation of vortex bound states, vortex clusters, and the appearance of metastable vortex/anti-vortex bound states.},

  doi          = {10.1103/physrevb.102.184516},

  journal      = {Physical Review. B},

  number       = 18,

  volume       = 102,

  place        = {United States},

  year         = {Wed Nov 25 00:00:00 EST 2020},

  month        = {Wed Nov 25 00:00:00 EST 2020}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1103/physrevb.102.184516

Other availability

Search WorldCat to find libraries that may hold this journal

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Hierarchical structure formation in layered superconducting systems with multi-scale inter-vortex interactions
journal, September 2013

Varney, Christopher N.; Sellin, Karl A. H.; Wang, Qing-Ze
Journal of Physics: Condensed Matter, Vol. 25, Issue 41
DOI: 10.1088/0953-8984/25/41/415702

Heavy Fermion Superconductivity and Magnetic Order in Noncentrosymmetric ${C e P t}_{3} S i$
journal, January 2004

Bauer, E.; Hilscher, G.; Michor, H.
Physical Review Letters, Vol. 92, Issue 2
DOI: 10.1103/PhysRevLett.92.027003

Lattices of double-quanta vortices and chirality inversion in $p_{x} + i p_{y}$ superconductors
journal, September 2016

Garaud, Julien; Babaev, Egor; Bojesen, Troels Arnfred
Physical Review B, Vol. 94, Issue 10
DOI: 10.1103/PhysRevB.94.104509

Critical magnetic fields in a superconductor coupled to a superfluid
journal, June 2017

Haber, Alexander; Schmitt, Andreas
Physical Review D, Vol. 95, Issue 11
DOI: 10.1103/PhysRevD.95.116016

${CePt}_{3} Si :$ An unconventional superconductor without inversion center
journal, March 2004

Samokhin, K. V.; Zijlstra, E. S.; Bose, S. K.
Physical Review B, Vol. 69, Issue 9
DOI: 10.1103/PhysRevB.69.094514

Controlled Fluidization, Mobility, and Clogging in Obstacle Arrays Using Periodic Perturbations
journal, August 2018

Reichhardt, C.; Reichhardt, C. J. O.
Physical Review Letters, Vol. 121, Issue 6
DOI: 10.1103/physrevlett.121.068001

Signature of superconducting states in cubic crystal without inversion symmetry
journal, February 2008

Lu, Chi-Ken; Yip, Sungkit
Physical Review B, Vol. 77, Issue 5
DOI: 10.1103/PhysRevB.77.054515

The Ginzburg - Landau equation for superconductors of polar symmetry
journal, January 1996

Edelstein, Victor M.
Journal of Physics: Condensed Matter, Vol. 8, Issue 3
DOI: 10.1088/0953-8984/8/3/012

Type-1.5 superconductivity in multiband systems: Magnetic response, broken symmetries and microscopic theory – A brief overview
journal, September 2012

Babaev, E.; Carlström, J.; Garaud, J.
Physica C: Superconductivity, Vol. 479
DOI: 10.1016/j.physc.2012.01.002

Semi-Meissner state and nonpairwise intervortex interactions in type-1.5 superconductors
journal, October 2011

Carlström, Johan; Garaud, Julien; Babaev, Egor
Physical Review B, Vol. 84, Issue 13
DOI: 10.1103/PhysRevB.84.134515

Direct Coupling Between Magnetism and Superconducting Current in the Josephson $φ_{0}$ Junction
journal, September 2008

Buzdin, A.
Physical Review Letters, Vol. 101, Issue 10
DOI: 10.1103/PhysRevLett.101.107005

Structural transitions, melting, and intermediate phases for stripe- and clump-forming systems
journal, October 2010

Olson Reichhardt, C. J.; Reichhardt, C.; Bishop, A. R.
Physical Review E, Vol. 82, Issue 4
DOI: 10.1103/PhysRevE.82.041502

Magnetic Moment Manipulation by a Josephson Current
journal, January 2009

Konschelle, F.; Buzdin, A.
Physical Review Letters, Vol. 102, Issue 1
DOI: 10.1103/PhysRevLett.102.017001

New development in freefem++
journal, January 2012

Hecht, F.
Journal of Numerical Mathematics, Vol. 20, Issue 3-4
DOI: 10.1515/jnum-2012-0013

Semi-Meissner state and neither type-I nor type-II superconductivity in multicomponent superconductors
journal, November 2005

Babaev, Egor; Speight, Martin
Physical Review B, Vol. 72, Issue 18
DOI: 10.1103/PhysRevB.72.180502

Non-Centrosymmetric Superconductors: Introduction and Overview
book, January 2012

Bauer, Ernst; Sigrist, Manfred
Lecture Notes in Physics
DOI: 10.1007/978-3-642-24624-1

Superconductivity in a New Pseudo-Binary Li ₂ B(Pd _{1- x} Pt _x ) ₃ ( x =0–1) Boride System
journal, March 2005

Badica, Petre; Kondo, Takaaki; Togano, Kazumasa
Journal of the Physical Society of Japan, Vol. 74, Issue 3
DOI: 10.1143/JPSJ.74.1014

Rotation of the magnetic vortex lattice in ${Ru}_{7} B_{3}$ driven by the effects of broken time-reversal and inversion symmetry
journal, July 2019

Cameron, A. S.; Yerin, Y. S.; Tymoshenko, Y. V.
Physical Review B, Vol. 100, Issue 2
DOI: 10.1103/PhysRevB.100.024518

Vortices in cubic noncentrosymmetric superconductors
journal, September 2013

Kashyap, M. K.; Agterberg, D. F.
Physical Review B, Vol. 88, Issue 10
DOI: 10.1103/PhysRevB.88.104515

Structure and physical properties of the noncentrosymmetric superconductor ${Mo}_{3} {Al}_{2} C$
journal, August 2010

Karki, A. B.; Xiong, Y. M.; Vekhter, I.
Physical Review B, Vol. 82, Issue 6
DOI: 10.1103/PhysRevB.82.064512

Unconventional superconducting phase in the weakly correlated noncentrosymmetric ${Mo}_{3} {Al}_{2} C$ compound
journal, August 2010

Bauer, E.; Rogl, G.; Chen, Xing-Qiu
Physical Review B, Vol. 82, Issue 6
DOI: 10.1103/PhysRevB.82.064511

Novel magnetic field effects in unconventional superconductors
journal, May 2003

Agterberg, D. F.
Physica C: Superconductivity, Vol. 387, Issue 1-2
DOI: 10.1016/S0921-4534(03)00634-8

Multiple-gap response of type-I noncentrosymmetric BeAu superconductor
journal, May 2020

Khasanov, Rustem; Gupta, Ritu; Das, Debarchan
Physical Review Research, Vol. 2, Issue 2
DOI: 10.1103/PhysRevResearch.2.023142

Superconductivity in PtSbS with a Noncentrosymmetric Cubic Crystal Structure
journal, September 2019

Mizutani, Ryosuke; Okamoto, Yoshihiko; Nagaso, Hayate
Journal of the Physical Society of Japan, Vol. 88, Issue 9
DOI: 10.7566/JPSJ.88.093709

Type-1.5 superconductivity in multicomponent systems
journal, February 2017

Babaev, E.; Carlström, J.; Silaev, M.
Physica C: Superconductivity and its Applications, Vol. 533
DOI: 10.1016/j.physc.2016.08.003

Spiral magnetic field and bound states of vortices in noncentrosymmetric superconductors
journal, November 2020

Samoilenka, Albert; Babaev, Egor
Physical Review B, Vol. 102, Issue 18
DOI: 10.1103/PhysRevB.102.184517

Noncentrosymmetric Superconductors
journal, March 2014

Yip, Sungkit
Annual Review of Condensed Matter Physics, Vol. 5, Issue 1
DOI: 10.1146/annurev-conmatphys-031113-133912

Zero-energy vortex bound states in noncentrosymmetric superconductors
journal, October 2008

Lu, Chi-Ken; Yip, Sungkit
Physical Review B, Vol. 78, Issue 13
DOI: 10.1103/PhysRevB.78.132502

New color-magnetic defects in dense quark matter
journal, April 2018

Haber, Alexander; Schmitt, Andreas
Journal of Physics G: Nuclear and Particle Physics, Vol. 45, Issue 6
DOI: 10.1088/1361-6471/aabc1a

Magnetic properties of superconductors with strong spin-orbit coupling
journal, September 2004

Samokhin, K. V.
Physical Review B, Vol. 70, Issue 10
DOI: 10.1103/PhysRevB.70.104521

Superconductivity and spin–orbit coupling in non-centrosymmetric materials: a review
journal, January 2017

Smidman, M.; Salamon, M. B.; Yuan, H. Q.
Reports on Progress in Physics, Vol. 80, Issue 3
DOI: 10.1088/1361-6633/80/3/036501

Space-time symmetries in gauge theories
journal, February 1980

Forgács, P.; Manton, N. S.
Communications in Mathematical Physics, Vol. 72, Issue 1
DOI: 10.1007/BF01200108

Non-London electrodynamics in a multiband London model: Anisotropy-induced nonlocalities and multiple magnetic field penetration lengths
journal, May 2018

Silaev, Mihail; Winyard, Thomas; Babaev, Egor
Physical Review B, Vol. 97, Issue 17
DOI: 10.1103/PhysRevB.97.174504

$S$ -Wave Spin-Triplet Order in Superconductors without Inversion Symmetry: ${Li}_{2} {Pd}_{3} B$ and ${Li}_{2} {Pt}_{3} B$
journal, July 2006

Yuan, H. Q.; Agterberg, D. F.; Hayashi, N.
Physical Review Letters, Vol. 97, Issue 1
DOI: 10.1103/PhysRevLett.97.017006

Similar Records in DOE PAGES and OSTI.GOV collections:

Chiral Magnetic Josephson Junction as a Base for Low-Noise Superconducting Qubits

Journal Article Chernodub, Maxim N. ; Garaud, Julien ; Kharzeev, Dmitri E. - Universe

The lack of space inversion symmetry endows non-centrosymmetric superconducting materials with various interesting parity-breaking phenomena, including the anomalous Josephson effect. Our paper considers a Josephson junction of two non-centrosymmetric superconductors connected by a uniaxial ferromagnet. We show that this “Chiral Magnetic Josephson junction” (CMJ junction) exhibits a direct analog of the Chiral Magnetic Effect, which has already been observed in Weyl and Dirac semimetals. We suggest that the CMJ can serve as an element of a qubit with a Hamiltonian tunable by the ferromagnet’s magnetization. The CMJ junction avoids using an offset magnetic flux in inductively shunted qubits, thus enablingmore »« less
https://doi.org/10.3390/universe8120657
Ginzburg-Landau theory of vortices in superfluid /sup 3/He-B

Journal Article Thuneberg, E V - Phys. Rev. B: Condens. Matter; (United States)

Vortices in superfluid /sup 3/He differ qualitatively from all other vortices. In conventional quantized vortices (/sup 4/He, superconductors) the order parameter is a scalar function with cylindrical symmetry that vanishes on its axis, but in superfluid /sup 3/He the order parameter has nine complex components. More interestingly, the symmetries of the differential equation describing the vortices can be broken by its solutions. In the pressure-temperature phase diagram of /sup 3/He-B, there is a first-order transition (observed in the shift of the NMR line) between two different vortices that, as recent theory has shown, have different broken symmetries. The vortex observedmore »« less
https://doi.org/10.1103/PhysRevB.36.3583
Dynamics of Vortices in Chiral Media: The Chiral Propulsion Effect

Journal Article Hirono, Yuji ; Kharzeev, Dmitri E. ; Sadofyev, Andrey V. - Physical Review Letters

We study the motion of vortex filaments in chiral media, and find a semi-classical analog of the anomaly-induced chiral magnetic effect. The helical solitonic excitations on vortices in a parity-breaking medium are found to carry an additional energy flow along the vortex in the direction dictated by the sign of chirality imbalance; we call this new transport phenomenon the Chiral Propulsion Effect (CPE). The dynamics of the filament is described by a modified version of the localized induction equation in the parity-breaking background. We analyze the linear stability of simple vortex configurations, and study the effects of chiral media onmore »« less
Cited by 5
https://doi.org/10.1103/PhysRevLett.121.142301
Aspect on vortex structure in noncentrosymmetric superconductors

Journal Article Xu Tao, E-mail: xutao@mail.hust.edu.c - Annals of Physics (New York)

Helicity of vortices is studied in a single order parameter Ginzburg-Landau model with n x B term. This unusual term changes the superconductor current, but does not change the quantum of magnetic flux, and the cross helicity of the probability density current in noncentrosymmetric superconductors. In this paper I compute the kinetic helicity and magnetic helicity of a superconductor and introduce a new helicity, i.e. a new topological invariant, to describe vortex phase.
Ginzburg-Landau parameter in YBa{sub 2}Cu{sub 3}O{sub 6.95} below the irreversibility temperature as measured by {mu}{sup +}SR in high magnetic fields

Journal Article Riseman, T M ; Brewer, J H ; Chow, K H ; ... - Physical Review, B: Condensed Matter

The vortex state of a type-II superconductor produces a distinctive {mu}{sup +}SR line shape with features determined by the average internal field {ital B}{sub {ital o}}, the magnetic penetration depth {lambda}, the superconducting coherence length {xi}, and the degree of disorder in the vortex lattice. Only in the high field regime ({lambda}{much_gt}{ital L}{gt}{xi}, where {ital L} is the intervortex spacing) do the vortex cores (of radius {approx}{xi}) occupy a large enough area that they are observable in the line shape as a high field cutoff. Our {mu}{sup +}SR measurements of the field distributions in a mosaic of single crystals ofmore »« less
https://doi.org/10.1103/PhysRevB.52.10569

Similar Records

Title: Vortices with magnetic field inversion in noncentrosymmetric superconductors

Abstract

Citation Formats

Hierarchical structure formation in layered superconducting systems with multi-scale inter-vortex interactions journal, September 2013

Heavy Fermion Superconductivity and Magnetic Order in Noncentrosymmetric C e P t 3 S i journal, January 2004

Lattices of double-quanta vortices and chirality inversion in p x + i p y superconductors journal, September 2016

Critical magnetic fields in a superconductor coupled to a superfluid journal, June 2017

CePt 3 Si : An unconventional superconductor without inversion center journal, March 2004

Controlled Fluidization, Mobility, and Clogging in Obstacle Arrays Using Periodic Perturbations journal, August 2018

Signature of superconducting states in cubic crystal without inversion symmetry journal, February 2008

The Ginzburg - Landau equation for superconductors of polar symmetry journal, January 1996

Type-1.5 superconductivity in multiband systems: Magnetic response, broken symmetries and microscopic theory – A brief overview journal, September 2012

Semi-Meissner state and nonpairwise intervortex interactions in type-1.5 superconductors journal, October 2011

Direct Coupling Between Magnetism and Superconducting Current in the Josephson φ 0 Junction journal, September 2008

Structural transitions, melting, and intermediate phases for stripe- and clump-forming systems journal, October 2010

Magnetic Moment Manipulation by a Josephson Current journal, January 2009

New development in freefem++ journal, January 2012

Semi-Meissner state and neither type-I nor type-II superconductivity in multicomponent superconductors journal, November 2005

Non-Centrosymmetric Superconductors: Introduction and Overview book, January 2012

Superconductivity in a New Pseudo-Binary Li 2 B(Pd 1- x Pt x ) 3 ( x =0–1) Boride System journal, March 2005

Rotation of the magnetic vortex lattice in Ru 7 B 3 driven by the effects of broken time-reversal and inversion symmetry journal, July 2019

Vortices in cubic noncentrosymmetric superconductors journal, September 2013

Structure and physical properties of the noncentrosymmetric superconductor Mo 3 Al 2 C journal, August 2010

Unconventional superconducting phase in the weakly correlated noncentrosymmetric Mo 3 Al 2 C compound journal, August 2010

Novel magnetic field effects in unconventional superconductors journal, May 2003

Multiple-gap response of type-I noncentrosymmetric BeAu superconductor journal, May 2020

Superconductivity in PtSbS with a Noncentrosymmetric Cubic Crystal Structure journal, September 2019

Type-1.5 superconductivity in multicomponent systems journal, February 2017

Spiral magnetic field and bound states of vortices in noncentrosymmetric superconductors journal, November 2020

Noncentrosymmetric Superconductors journal, March 2014

Zero-energy vortex bound states in noncentrosymmetric superconductors journal, October 2008

New color-magnetic defects in dense quark matter journal, April 2018

Magnetic properties of superconductors with strong spin-orbit coupling journal, September 2004

Superconductivity and spin–orbit coupling in non-centrosymmetric materials: a review journal, January 2017

Space-time symmetries in gauge theories journal, February 1980

Non-London electrodynamics in a multiband London model: Anisotropy-induced nonlocalities and multiple magnetic field penetration lengths journal, May 2018

S -Wave Spin-Triplet Order in Superconductors without Inversion Symmetry: Li 2 Pd 3 B and Li 2 Pt 3 B journal, July 2006

Hierarchical structure formation in layered superconducting systems with multi-scale inter-vortex interactions
journal, September 2013

Heavy Fermion Superconductivity and Magnetic Order in Noncentrosymmetric ${C e P t}_{3} S i$
journal, January 2004

Lattices of double-quanta vortices and chirality inversion in $p_{x} + i p_{y}$ superconductors
journal, September 2016

Critical magnetic fields in a superconductor coupled to a superfluid
journal, June 2017

${CePt}_{3} Si :$ An unconventional superconductor without inversion center
journal, March 2004

Controlled Fluidization, Mobility, and Clogging in Obstacle Arrays Using Periodic Perturbations
journal, August 2018

Signature of superconducting states in cubic crystal without inversion symmetry
journal, February 2008

The Ginzburg - Landau equation for superconductors of polar symmetry
journal, January 1996

Type-1.5 superconductivity in multiband systems: Magnetic response, broken symmetries and microscopic theory – A brief overview
journal, September 2012

Semi-Meissner state and nonpairwise intervortex interactions in type-1.5 superconductors
journal, October 2011

Direct Coupling Between Magnetism and Superconducting Current in the Josephson $φ_{0}$ Junction
journal, September 2008

Structural transitions, melting, and intermediate phases for stripe- and clump-forming systems
journal, October 2010

Magnetic Moment Manipulation by a Josephson Current
journal, January 2009

New development in freefem++
journal, January 2012

Semi-Meissner state and neither type-I nor type-II superconductivity in multicomponent superconductors
journal, November 2005

Non-Centrosymmetric Superconductors: Introduction and Overview
book, January 2012

Superconductivity in a New Pseudo-Binary Li ₂ B(Pd _{1- x} Pt _x ) ₃ ( x =0–1) Boride System
journal, March 2005

Rotation of the magnetic vortex lattice in ${Ru}_{7} B_{3}$ driven by the effects of broken time-reversal and inversion symmetry
journal, July 2019

Vortices in cubic noncentrosymmetric superconductors
journal, September 2013

Structure and physical properties of the noncentrosymmetric superconductor ${Mo}_{3} {Al}_{2} C$
journal, August 2010

Unconventional superconducting phase in the weakly correlated noncentrosymmetric ${Mo}_{3} {Al}_{2} C$ compound
journal, August 2010

Novel magnetic field effects in unconventional superconductors
journal, May 2003

Multiple-gap response of type-I noncentrosymmetric BeAu superconductor
journal, May 2020

Superconductivity in PtSbS with a Noncentrosymmetric Cubic Crystal Structure
journal, September 2019

Type-1.5 superconductivity in multicomponent systems
journal, February 2017

Spiral magnetic field and bound states of vortices in noncentrosymmetric superconductors
journal, November 2020

Noncentrosymmetric Superconductors
journal, March 2014

Zero-energy vortex bound states in noncentrosymmetric superconductors
journal, October 2008

New color-magnetic defects in dense quark matter
journal, April 2018

Magnetic properties of superconductors with strong spin-orbit coupling
journal, September 2004

Superconductivity and spin–orbit coupling in non-centrosymmetric materials: a review
journal, January 2017

Space-time symmetries in gauge theories
journal, February 1980

Non-London electrodynamics in a multiband London model: Anisotropy-induced nonlocalities and multiple magnetic field penetration lengths
journal, May 2018

$S$ -Wave Spin-Triplet Order in Superconductors without Inversion Symmetry: ${Li}_{2} {Pd}_{3} B$ and ${Li}_{2} {Pt}_{3} B$
journal, July 2006