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In the presence of an external magnetic field, the low lying elementaryexcitations of a d-wave superconductor have quantized energy and their momentaare locked near the node direction. It is argued that these discrete states canmost likely be detected by a local probe, such as a scanning tunnelingmicroscope. The low temperature local tunneling conductance on the Wigner-Seitzcell boundaries of the vortex lattice is predicted to show peaks spaced as $\pm\sqrt{n}, n ={0,1,2, ...}$. The $n=0$ peak is anomalous, and it is present onlyif the superconducting order parameter changes sign at certain points on theFermi surface. Away from the cell boundary, where the superfluid velocity isnonzero, each peak splits, in general, into four peaks, corresponding to thenumber of nodes in the order parameter.Comment: RevTeX 3.0, 4 pages, 3 figures (included

physical review letters

Theory of Scanning Tunneling Spectroscopy of Magnetic-Field-Induced Discrete Nodal States in a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">d</mml:mi></mml:math>-Wave Superconductor

Theory of Scanning Tunneling Spectroscopy of Magnetic-Field-Induced Discrete Nodal States in ad-Wave Superconductor