The map provider "Stamen Design" provides different URLs for http and https connections. When you want to use Stamen maps with https, you have to change leaflet-providers.js on line 208 from
url: 'http://{s}.tile.stamen.com/{variant}/{z}/{x}/{y}.{ext}',
to
url: 'https://stamen-tiles-{s}.a.ssl.fastly.net/{variant}/{z}/{x}/{y}.{ext}',
See also: