Vortex lattice transition in d-wave superconductors
Vortex lattice transition in d-wave superconductors
复制标题
d 波超导体中的涡旋晶格转变
DOI：
10.1103/physrevb.59.4497
复制
发表时间：
1997
影响因子：
3.7
通讯作者：
K. Maki
中科院分区：
文献类型：
--
作者：
J. Shiraishi;M. Kohmoto;K. Maki
Making use of the extended Ginzburg-Landau theory, which includes the fourth-order derivative term, we study the vortex state in a magnetic field parallel to the c axis. The vortex core structure is distorted due to the higher-order term, which reveals the fourfold symmetry. Further, this distortion gives rise to the core interaction energy which favors a square lattice tilted by $45\ifmmode^\circ\else\textdegree\fi{}$ from the a axis. The triangular vortex lattice in small field region transforms into the rhombic vortex lattice (i.e., the square vortex lattice tilted $45\ifmmode^\circ\else\textdegree\fi{}$ from the a axis) at ${B=H}_{\mathrm{cr}}\ensuremath{\sim}{\ensuremath{\kappa}}^{\ensuremath{-}1}{H}_{c2}(t),$ where $\ensuremath{\kappa}$ is the Ginzburg-Landau parameter and ${H}_{c2}(t)$ is the upper critical field. Therefore, in most of the $B\ensuremath{-}T$ phase diagram the vortex lattice is rhombic. The transition is of the second order and the associated jump in the specific heat should be accessible experimentally.
Making use of the extended Ginzburg-Landau theory, which includes the fourth-order derivative term, we study the vortex state in a magnetic field parallel to the c axis. The vortex core structure is distorted due to the higher-order term, which reveals the fourfold symmetry. Further, this distortion gives rise to the core interaction energy which favors a square lattice tilted by $45\ifmmode^\circ\else\textdegree\fi{}$ from the a axis. The triangular vortex lattice in small field region transforms into the rhombic vortex lattice (i.e., the square vortex lattice tilted $45\ifmmode^\circ\else\textdegree\fi{}$ from the a axis) at ${B=H}_{\mathrm{cr}}\ensuremath{\sim}{\ensuremath{\kappa}}^{\ensuremath{-}1}{H}_{c2}(t),$ where $\ensuremath{\kappa}$ is the Ginzburg-Landau parameter and ${H}_{c2}(t)$ is the upper critical field. Therefore, in most of the $B\ensuremath{-}T$ phase diagram the vortex lattice is rhombic. The transition is of the second order and the associated jump in the specific heat should be accessible experimentally.