Query Multilayer in mongoDB

Question

I have a mongoDB application running on symfony2.2 framework.

The Database design is as follows.

Table

User,City,State

1 user belongs to one city.
1 city belongs to one state.

now I need to query all the users who belong to state A.

This is what i tried but with no result.

$response = $dm->getRepository('DataBundle:User')->createQueryBuilder()
            ->field('city.state.$id')->equals(new \MongoId('123123asd123dqa4'))
            ->getQuery()
            ->execute();

Any Ideas?

[EDIT]

 class User
    {
       /**
         * @ODM\ReferenceOne(targetDocument="City", mappedBy="users")
         */
        protected $city;

 // getters and setters
}


class City
{
   /**
     * @ODM\ReferenceOne(targetDocument="State")
     */
    protected $state;

  /**
     * @ODM\ReferenceMany(targetDocument="User", inversedBy="state")
     */
    protected $users;

   //getters and setters
}