Sass get sibling hover state for dropdown menu - sass

Question

I'm trying to build a fairly simple Sass mixin for a dropdown menu built as an html list
My html is
<div class="parent">
<div class="name">My Name</div>
<ul>
<li>profile</li>
<li>logout</li>
</div>
then I have a mixin which is applied to the UL
#mixin dropdown() {
// create a dropdown list from a ul
position: absolute;
display: none;
margin: 0;
padding: 0;
list-style-type: none;
&:hover {
display: block;
}
li {
padding: 0;
background-color: red;
}
li a {
#include button();
padding-left: 0;
}
}
Then I am trying to simply make the css by including the mixin in the parent
.parent {
position: relative;
ul {
#include dropdown();
}
&:hover ul {
display: block;
}
}
The problem is that the mixin needs to set ul { display:block} when I hover on the parent so the css needs to read .parent:hover ul {displa:block} but of course, I'd prefer to have it assigned to the parent rather than add the class on the parent itself.
I thought I should be able to do * &:hover or .parent:hover & or something of that sort, but any combination I've tried has not worked.
Using .parent:hover & creates css of
header .parent ul:hover, .parent:hover header .parent ul {
display: block; }
Which is not right.
Suggestions? Without having to specify the parent element would be preferred.

Answer 1

Originally I was trying to put the mixin no the dropdown itself, but thanks to #cimmanon pointing out that I didn't include how I am using the mixin, I reconsidered the approach and have re-created the mixin to be applied to the parent, which works pretty well, but somebody may have a better way.
.parent {
#include dropdown();
}
#mixin dropdown() {
display: relative;
// create a dropdown list from a ul
&:hover ul {
display: block;
}
ul {
position: absolute;
display: none;
margin: 0;
padding: 0;
list-style-type: none;
&:hover {
display: block;
}
}