Sufism, otherwise known as Islamic Mysticism, is a branch of Islam. It deals with special powers that are contained in the Qur'an. It is a more philosophical approach, where a person tries to become one with nature, and feel the power of God. The term mysticism can be defined as the consciousness of the One Reality -- be it called Wisdom, Light, Love or Nothing. (Shcimmel 23)
A Sufi tries to unite his will with God's will. They try to isolate themselves, so they can fear and become close to God. By isolating themselves, a Sufi tries to stay away from politics and public affairs, so as too not get corrupted. The Sufi's path is a path of love, to be thankful of all God's bounties. Many Sufi's try to help individuals in trouble. They use special powers, which enable them to help people who are suffering.
Of course this power can only be given by God, and Sufi's in no way equal to God's power. In fact, Sufi's that claim to be at the same level of God cannot be classified as a Muslim. (Frager 11)
Sufi's stress love, because they believe that love will help you in the Day of Judgement. That the people who you truly love, will give you their good deeds, so that you may enter Paradise. Normally these people who give their good deeds away are known as dervishes (this is quite different from the belief in Islam).
Sufi's also stress the remembrance of God, which is called Zikr. They try to get close to God, to be one with God. They define God as something that is close to you but you can't see it. That God is all around us, but His presence is too overwhelming to see. An...