  We numerically solved the boundary-value problem for Tamm waves (which may
also be classified as Uller-Zenneck waves here) guided by the planar interface
of a homogeneous isotropic dissipative dielectric (HIDD) material and a
periodically multilayered isotropic dielectric material. The HIDD material was
chosen to be VO${}_2$ which, at optical wavelengths, has a
temperature-dependent refractive index with a hysteresis feature, i.e., the
temperature-dependence of its refractive index varies depending upon whether
the temperature is increasing or decreasing. A numerical code was implemented
to extract solutions of the dispersion equation at a fixed wavelength for both
$p$- and $s$-polarization states over the temperature range [50,80] degrees. A
multitude of Tamm waves of both linear polarization states were found,
demonstrating a clear demarcation of the heating and cooling phases in terms of
wavenumbers and propagation distances. Thereby, the signatures of thermal
hysteresis in Tamm-wave propagation were revealed.
