How to define a Nuxt link in a Vuetify button when portion of the path belongs to $route.params?

You should use to="studentName" nuxt

For example:

 <v-toolbar-items class="hidden-sm-and">
    <v-btn flat to="/home" nuxt> Home </v-btn>
    <v-btn flat to="/contact" nuxt> Contact </v-btn>
    <v-btn flat to="/login" nuxt> Login </v-btn>
 </v-toolbar-items>