[{"_id":1,"name":"city1","districts":[{"id":5,"name":"district 1","neighborhoods":[{"id":309,"name":"neighborhood 1"}]},{"id":6,"name":"district 2","neighborhoods":[{"id":52280,"name":"neighborhood 2"}]}]},{"_id":2,"name":"city2","districts":[{"id":5,"name":"district 3","neighborhoods":[{"id":309,"name":"neighborhood 3"}]},{"id":6,"name":"district 4","neighborhoods":[{"id":52280,"name":"neighborhood 4"},{"id":52287,"name":"neighborhood 5"}]}]}]

db.collection.aggregate([{$match:{name:"city2",districts:{$elemMatch:{name:"district 4",neighborhoods:{$elemMatch:{name:"neighborhood 5"}}}}}}])