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Elastic Moduli of Vortex Lattices within Nonlocal London Model

2001/05/31 by P. Miranovic, P. Miranović, V. G. Kogan
Mathematics · Physics and Astronomy · #Composite material #Condensed matter physics #Elastic modulus #Geometry #Materials science #Mathematics #Moduli #Modulus #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Rare-earth and actinide compounds #Shear (geology) #Shear modulus #Square (algebra) #Square lattice #Superconductivity in MgB2 and Alloys #Thermodynamics #Vortex #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevlett.87.137002

4 pages, 2 figures

arxiv created 2001/05/31 · openalex publication_date 2001/09/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Vortex lattice (VL) elastic response is analyzed within the nonlocal London model which holds for high- \ensuremathκ clean superconductors. The squash modulus vanishes at the field H_\ensuremath\square where VL undergoes a square-to-rhombus transition. For H>H_\ensuremath\square, where the square VL is stable, the rotation modulus turns zero at H\phantom\rule0ex0ex=\phantom\rule0ex0exHr, indicating VL instability to rotations. The shear modulus depends on the shear direction; the dependence is strong in the vicinity of H_\ensuremath\square where the square VL is soft with respect to the shear along [110]. The H dependences of the moduli are evaluated for LuNi2B2C.

Citations