In MongoDB, you can use the partialFilterExpression option. 
Steps to use this :
1. Create a Partial Index with $exists: false:
Suppose you have a collection users and you want to create a partial index on the email field, but only for documents where the email field does not exist.
Use the following command:
db.users.createIndex(
  { email: 1 },  // Field to index
  {
    partialFilterExpression: { email: { $exists: false } }  // Condition for the index
  }
);
2. Explanation:
{ email: 1 }: This specifies the field you are indexing, and 1 indicates ascending order.
partialFilterExpression: { email: { $exists: false } }: This condition ensures that the index will only cover documents where the email field does not exist. The $exists: false condition excludes documents that contain the email field.
3. Verify the Index:
You can verify the index creation using the following command:
db.users.getIndexes();
This will show the indexes in the collection, and you should see the partial index with the specified condition.
4. Use the Index:
The partial index will be used for queries that filter on documents where the email field does not exist:
db.users.find({ email: { $exists: false } });