{'fraction_non_alphanumeric': 0.013307984790874524, 'fraction_numerical': 0.0, 'mean_word_length': 4.921348314606742, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Orbital Zeeman effect: Signature of charge in the carriers of ferromagnetism

By deriving quantum hydrodynamic equations for an isotropic single-band ferromagnet in a finite magnetic field, we find that a massive mode recently predicted splits under the action of the field. The splitting is a peculiarity of charged fermions and is linear in the field to leading order in q , bearing a resemblance to the Zeeman effect in this limit, and providing a way to determine whether ferromagnetism arises from charged objects or not.