The host of my website doesn't use password for login.
To access my website, go to the tool bar on my site and click on Login - enter your email address. A link will be sent to your email. You click on that link to get access to my site. The browser cookies remembers your login. If the link expires, you repeat this process.
If you use a Yubikey on your laptop but not on your mobile, I suggest you use an alternative email address for my website. My site will send you a login link each time the link expires, so it can be an annoying process to not having a Yubikey with you when you want to access my site on your mobile.