Abstract
Scanning tunneling microscopy and spectroscopy are used to image the charge density wave at the surface of cleaved ${\mathrm{VSe}}_{2}$ and to probe its local density of states at 5 K. The main features in the spectrum are linked to the contributions of the $p$-like and $d$-like bands of ${\mathrm{VSe}}_{2}$ found in angle-resolved photoemission spectroscopy and tight-binding calculations. Different from previous tunneling spectroscopy work, we find a narrow partial gap at the Fermi level that we associate with the charge density wave phase. The energy scale of the gap found in the experiment is in good agreement with the charge density wave transition temperature of ${\mathrm{VSe}}_{2}$, under the assumption of weak electron-phonon coupling, consistent with the Peierls model of Fermi surface nesting. The role of defects is investigated, which reveals that the partial gap in the density of states and hence the charge density wave itself is extremely stable, though the order, phase, and amplitude of the charge density waves on the surface are strongly perturbed by defects.
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