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We report spatially resolved tunneling spectroscopic evidence forfield-induced microscopic orders in a high-$T_c$ superconductor $\rmYBa_2Cu_3O_{7-\delta}$. The spectral characteristics inside vortices reveal apseudogap ($V_{\rm CO}$) larger than the superconducting gap ($\Delta\_{\rmSC}$) as well as a subgap ($\Delta\^{\prime}$) smaller than $\Delta\_{\rm SC}$,and the spectral weight shifts steadily from $\Delta_{\rm SC}$ to $V_{\rm CO}$and $\Delta\^{\prime}$ upon increasing magnetic field. Additionally,energy-independent conductance modulations at 3.6 and 7.1 lattice constantsalong the Cu-O bonding directions and at 9.5 lattice constants along the nodaldirections are manifested in the vortex state. These wave-vectors differfundamentally from the strongly dispersive modes due to Bogoliubovquasiparticle scattering interferences and may be associated with field-inducedmicroscopic orders of pair-, charge- and spin-density waves.

Scanning tunneling spectroscopic evidence for magnetic field-induced microscopic orders in the high-$T_c$ superconductor YBa$_2$Cu$_3$O$_{7-\delta}$