Physical Phenomena at High Magnetic Fields-IV (PPHMF-IV) was the fourth conference sponsored by the National High Magnetic Field Laboratory (NHMFL). The previous conferences were held in May, 1991, 1995, and 1998. These meetings brought together experts in scientific research areas where high magnetic fields could make an important impact. PPHMF-III devoted substantial time to reviewing the state of many fields in regard to the role of high magnetic fields, such as semiconductors, heavy fermions, superconductivity, and molecular conductors. Since these topics have been thoroughly examined in PPHMF-III, it was felt that the present conference should be devoted to recent developments in these fields