Spin-orbit coupling effect in high-temperature superconductors

Abstract

The spin-orbit (SO) coupling effect is investigated by self-consistently diagonalizing a model Hamiltonian with competing antiferromagnetic (AF) and d-wave superconductivity (DSC) orders for high-temperature superconductors. SO-coupling-induced spin-split and -flip competition with AF order can lead to a double-peak spectrum of the vortex-core state, and vortex charge sign change. Scanning tunneling microscopy spectra on differential conductance and nuclear magnetic resonance experiments on vortex charges for YBa2Cu3O7−x are interpreted.

Majorana zero-energy modes and spin current evolution in mesoscopic superconducting loop systems with spin-orbit interaction

“…Superconducting systems with spin-orbit (SO) coupling [1] have attracted a great deal of attention recently [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. With the development of experimental techniques, it is now possible to fabricate nanostructured samples with different shapes.…”

“…In view of the above, we systematically investigate here the novel evolution of Majorana zero modes and persistent spin current in mesoscopic d x 2 −y 2 -wave-superconducting loops by solving the spin-generalized Bogoliubov-de Gennes (BdG) equations [5,8,16,30,41] in a self-consistent manner. Our numerical analysis first tackles the issue of whether the zero-energy Majorana edge mode can exist in mesoscopic nodal loops with only the SO interaction.…”

Majorana fermion states and fractional flux periodicity in mesoscopicd-wave superconducting loops with spin-orbit interaction

“…In the present work we provide a careful insight into the spin-orbit (SO) coupling effect on flux-dependent ground-state evolution in mesoscopic d-wave superconducting noncircular systems. Superconducting systems with strong SO coupling have attracted a great deal of attention recently [31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47]. It is well known that structural inversion asymmetry can be created at surfaces, an interface, or some junction structures.…”

“…In view of the above, we introduce SO interactions into the effective model Hamiltonian with d-wave superconducting order and systematically investigate the SO coupling effect on the flux periodicity evolution in mesoscopic superconducting loops by solving the extended Bogoliubov-de Gennes (BdG) equations [34,37,45,48] in a self-consistent manner. Our numerical analysis concerns the flux-dependent evolution of ground-state energy and circulating current in square and rectangular systems as a function of the SO interaction strength.…”