{'fraction_non_alphanumeric': 0.0241423125794155, 'fraction_numerical': 0.0, 'mean_word_length': 5.253968253968254, '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}}
Spin Green Functions for Ferromagnetic Films with Asymmetric Boundary Conditions

A microscopic theory is employed to calculate the spin Green functions for thin films of Heisenberg ferromagnets. The effect of general asymmetric boundary conditions is considered including surface anisotropy (“pinning”) and variation of the exchange parameters. Results are also obtained for the spin wave spectrum and the layer magnetization. 
 
 
 
En utilisant une theorie microscopique, on calcule les fonctions de Green des films minces ferromagnetiques de Heisenberg. On etude l'effect des conditions asymetriques des surfaces en tenant compte de l'anisotropie de la surface (“pinning”) et de la variation des integrales d'echange. On en deduit aussi le spectre des ondes de spin et l'aimantation.