Linear and field-independent relation between vortex core state energy and gap in Bi(2)Sr(2)CaCu(2)O(8+delta)

Fourfold structure of vortex-core states in Bi2Sr2CaCu2O8+delta

We present a detailed study of vortex-core spectroscopy in slightly overdoped Bi2Sr2CaCu2O8+delta using a low-temperature scanning tunneling microscope. Inside the vortex core, we observe a fourfold symmetric modulation of the local density of states with an energy-independent period of (4.3 +/- 0.3)a0. Furthermore, we demonstrate that this square modulation is related to the vortex-core states which are located at +/-6 meV. Since the core-state energy is proportional to the superconducting gap magnitude , our results strongly suggest the existence of a direct relation between the superconducting state and the local electronic modulations in the vortex core.

In situ measurement of self-heating in intrinsic tunneling spectroscopy

Using advanced sample engineering we performed simultaneous measurements of interlayer tunneling characteristics and in situ monitoring of temperature in Bi(2)Sr(2)CaCu(2)O(8 + delta) (Bi-2212) mesas. Together with a systematic study of size dependence of interlayer tunneling, this allowed unambiguous discrimination between artifacts of self-heating and gaps in the electronic spectra of Bi-2212. Such a confident spectroscopic information, which is not affected by self-heating or surface deterioration, was obtained for the first time for a high-T(c) superconductor. We also derived general expressions and formulated main principles of self-heating valid for a large variety of materials.

Density of states in high- T(c) superconductor vortices

We calculated the electronic structure of a vortex in a pseudogapped superconductor within a model featuring strong correlations. With increasing strength of the correlations, the BCS core states are suppressed and the spectra inside and outside the core become similar. If the correlations are short range, we find new core states in agreement with the observations in YBa2Cu3O7-delta and Bi2Sr2CaCu2O8+delta. Our results point to a common phenomenology for these two systems and indicate that normal-state correlations survive below T(c) without taking part in the overall phase coherence.