PostgreSQL provides several index types: B-tree, R-tree, GiST, and Hash. Each index type is more appropriate for a particular query type because of the algorithm it uses. By default, the CREATE INDEX command will create a B-tree index, which fits the most common situations. In particular, the PostgreSQL query optimizer will consider using a B-tree index whenever an indexed column is involved in a comparison using one of these operators: <, <=, =, >=, >
CREATE INDEX name ON table USING RTREE (column);
The PostgreSQL query optimizer will consider using an R-tree index whenever an indexed column is involved in a comparison using one of these operators: <<, &<, &>, >>, @, ~=, && (Refer to Section 4.9 about the meaning of these operators.)
CREATE INDEX name ON table USING HASH (column);
Note: Because of the limited utility of hash indexes, a B-tree index should generally be preferred over a hash index. We do not have sufficient evidence that hash indexes are actually faster than B-trees even for = comparisons. Moreover, hash indexes require coarser locks; see Section 9.7.
The B-tree index is an implementation of Lehman-Yao high-concurrency B-trees. The R-tree index method implements standard R-trees using Guttman's quadratic split algorithm. The hash index is an implementation of Litwin's linear hashing. We mention the algorithms used solely to indicate that all of these access methods are fully dynamic and do not have to be optimized periodically (as is the case with, for example, static hash access methods).