Strain-induced intervortex interaction and vortex lattices in tetragonal superconductors

Lin, Shi -Zeng; Kogan, Vladimir G.

doi:10.1103/PhysRevB.95.054511

Strain-induced intervortex interaction and vortex lattices in tetragonal superconductors

Journal Article · Wed Feb 22 00:00:00 EST 2017 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.95.054511· OSTI ID:1355897

Lin, Shi -Zeng ^[1]; Kogan, Vladimir G. ^[2]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Ames Lab. and Iowa State Univ., Ames, IA (United States)

In superconductors with strong coupling between superconductivity and elasticity manifested in a strong dependence of transition temperature on pressure, there is an additional contribution to intervortex interactions due to the strain field generated by vortices. When vortex lines are along the c axis of a tetragonal crystal, a square vortex lattice (VL) is favored at low vortex densities, because the vortex-induced strains contribution to the intervortex interactions is long range. At intermediate magnetic fields, the triangular lattice is stabilized. Furthermore, the triangular lattice evolves to the square lattice upon increasing magnetic field, and eventually the system locks to the square structure. We argue, however, that as magnetic field approaches the upper critical field H_c2 the elastic intervortex interactions disappear faster than the standard London interactions, so that VL should return to the triangular structure. Our results are compared to VLs observed in the heavy fermion superconductor CeCoIn₅.

View Accepted Manuscript (DOE)

Research Organization:: Ames Laboratory (AMES), Ames, IA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-07CH11358; AC52-06NA25396

OSTI ID:: 1355897

Alternate ID(s):: OSTI ID: 1344587

Report Number(s):: IS-J--9318

Journal Information:: Physical Review B, Journal Name: Physical Review B Journal Issue: 5 Vol. 95; ISSN 2469-9950; ISSN PRBMDO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (32)

High-pressure phase diagrams of CeRhIn ₅ and CeCoIn ₅ studied by ac calorimetry Knebel, G.; Méasson, M-A; Salce, B. Journal of Physics: Condensed Matter, Vol. 16, Issue 49 https://doi.org/10.1088/0953-8984/16/49/008	journal	November 2004
Observations of Pauli paramagnetic effects on the flux line lattice in CeCoIn ₅ White, J. S.; Das, P.; Eskildsen, M. R. New Journal of Physics, Vol. 12, Issue 2 https://doi.org/10.1088/1367-2630/12/2/023026	journal	February 2010
Bulk Solution of Ginzburg-Landau Equations for Type II Superconductors: Upper Critical Field Region Kleiner, W. H.; Roth, L. M.; Autler, S. H. Physical Review, Vol. 133, Issue 5A https://doi.org/10.1103/PhysRev.133.A1226	journal	March 1964
Theory of the Motion of Vortices in Superconductors Bardeen, John; Stephen, M. J. Physical Review, Vol. 140, Issue 4A https://doi.org/10.1103/PhysRev.140.A1197	journal	November 1965
London approach to anisotropic type-II superconductors Kogan, V. G. Physical Review B, Vol. 24, Issue 3 https://doi.org/10.1103/PhysRevB.24.1572	journal	August 1981
Vortex lattice structures in uniaxial superconductors Campbell, L. J.; Doria, M. M.; Kogan, V. G. Physical Review B, Vol. 38, Issue 4 https://doi.org/10.1103/PhysRevB.38.2439	journal	August 1988
Vortex-induced strain and flux lattices in anisotropic superconductors Kogan, V. G.; Bulaevskii, L. N.; Miranović, P. Physical Review B, Vol. 51, Issue 21 https://doi.org/10.1103/PhysRevB.51.15344	journal	June 1995
Ginzburg-Landau theory of vortex lattice structure in deformable anisotropic superconductors Miranović, P.; Dobrosavljević-Grujić, Lj.; Kogan, V. G. Physical Review B, Vol. 52, Issue 17 https://doi.org/10.1103/PhysRevB.52.12852	journal	November 1995
Interaction of vortices with ultrasound and the acoustic Faraday effect in type-II superconductors Domínguez, D.; Bulaevskii, L.; Ivlev, B. Physical Review B, Vol. 53, Issue 10 https://doi.org/10.1103/PhysRevB.53.6682	journal	March 1996
Generalized London free energy for high- T c vortex lattices Affleck, Ian; Franz, Marcel; Sharifzadeh Amin, M. H. Physical Review B, Vol. 55, Issue 2 https://doi.org/10.1103/PhysRevB.55.R704	journal	January 1997
Vortex lattice transitions in borocarbides Kogan, V. G.; Bullock, M.; Harmon, B. Physical Review B, Vol. 55, Issue 14 https://doi.org/10.1103/PhysRevB.55.R8693	journal	April 1997
Elasticity-driven interaction between vortices in type-II superconductors Cano, A.; Levanyuk, A. P.; Minyukov, S. A. Physical Review B, Vol. 68, Issue 14 https://doi.org/10.1103/PhysRevB.68.144515	journal	October 2003
Temperature and field dependence of the flux-line-lattice symmetry in V 3 Si Yethiraj, M.; Christen, D. K.; Gapud, A. A. Physical Review B, Vol. 72, Issue 6 https://doi.org/10.1103/PhysRevB.72.060504	journal	August 2005
Vortex dynamics in ferromagnetic superconductors: Vortex clusters, domain walls, and enhanced viscosity Lin, Shi-Zeng; Bulaevskii, Lev N.; Batista, Cristian D. Physical Review B, Vol. 86, Issue 18 https://doi.org/10.1103/PhysRevB.86.180506	journal	November 2012
Hydrostatic-pressure tuning of magnetic, nonmagnetic, and superconducting states in annealed Ca(Fe 1 − x Co x ) 2 As 2 Gati, E.; Köhler, S.; Guterding, D. Physical Review B, Vol. 86, Issue 22 https://doi.org/10.1103/PhysRevB.86.220511	journal	December 2012
Vortex-induced strain and magnetization in type-II superconductors Kogan, V. G. Physical Review B, Vol. 87, Issue 2 https://doi.org/10.1103/PhysRevB.87.020503	journal	January 2013
Elastic contribution to interaction of vortices in uniaxial superconductors Kogan, V. G. Physical Review B, Vol. 88, Issue 14 https://doi.org/10.1103/PhysRevB.88.144514	journal	October 2013
Instability of Square Vortex Lattice in d -Wave Superconductors is due to Paramagnetic Depairing Hiasa, Norihito; Ikeda, Ryusuke Physical Review Letters, Vol. 101, Issue 2 https://doi.org/10.1103/PhysRevLett.101.027001	journal	July 2008
Morphology of the Superconducting Vortex Lattice in Ultrapure Niobium Mühlbauer, S.; Pfleiderer, C.; Böni, P. Physical Review Letters, Vol. 102, Issue 13 https://doi.org/10.1103/PhysRevLett.102.136408	journal	April 2009
Vortex Lattice Studies in CeCoIn 5 with H ⊥ c Das, P.; White, J. S.; Holmes, A. T. Physical Review Letters, Vol. 108, Issue 8 https://doi.org/10.1103/PhysRevLett.108.087002	journal	February 2012
Dissociation Transition of a Composite Lattice of Magnetic Vortices in the Flux-Flow Regime of Two-Band Superconductors Lin, Shi-Zeng; Bulaevskii, Lev N. Physical Review Letters, Vol. 110, Issue 8 https://doi.org/10.1103/PhysRevLett.110.087003	journal	February 2013
Effect of Fluctuations on Vortex Lattice Structural Transitions in Superconductors Gurevich, A.; Kogan, V. G. Physical Review Letters, Vol. 87, Issue 17 https://doi.org/10.1103/PhysRevLett.87.177009	journal	October 2001
Vortex Lattice Structural Transitions: A Ginzburg-Landau Model Approach Klironomos, A. D.; Dorsey, Alan T. Physical Review Letters, Vol. 91, Issue 9 https://doi.org/10.1103/PhysRevLett.91.097002	journal	August 2003
Superconducting Vortices in CeCoIn5: Toward the Pauli-Limiting Field Bianchi, A. D.; Kenzelmann, M.; DeBeer-Schmitt, L. Science, Vol. 319, Issue 5860 https://doi.org/10.1126/science.1150600	journal	January 2008
Effect of Fluctuations on Vortex Lattice Structural Transitions in Superconductors Gurevich, A.; Kogan, V. G. The American Physical Society https://doi.org/10.17877/de290r-11224	text	January 2001
Observations of Pauli paramagnetic effects on the flux line lattice in CeCoIn5 White, Jonathan S.; Das, Pinaki; Eskildsen, Morten R. ETH Zurich https://doi.org/10.3929/ethz-b-000027455	text	January 2010
Instability of square vortex lattice in d-wave superconductors is due to paramagnetic depairing Hiasa, Norihito; Ikeda, Ryusuke arXiv https://doi.org/10.48550/arxiv.0803.1698	text	January 2008
Vortex-induced strain and magnetization in type-II superconductors Kogan, V. G. arXiv https://doi.org/10.48550/arxiv.1212.2903	text	January 2012
Elastic contribution to interaction of vortices in uniaxial superconductors Kogan, V. G. arXiv https://doi.org/10.48550/arxiv.1309.0838	text	January 2013
Effect of fluctuations on vortex lattice structural transitions in superconductors Gurevich, A.; Kogan, V. G. arXiv https://doi.org/10.48550/arxiv.cond-mat/0106082	text	January 2001
Elasticity-driven interaction between vortices in type-II superconductors Cano, A.; Levanyuk, A. P.; Minyukov, S. A. arXiv https://doi.org/10.48550/arxiv.cond-mat/0303342	text	January 2003
Generalized London free energy for high-$T_c$ vortex lattices Affleck, Ian; Franz, Marcel; Amin, M. H. Sharifzadeh arXiv https://doi.org/10.48550/arxiv.cond-mat/9610006	text	January 1996

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