{'fraction_non_alphanumeric': 0.022, 'fraction_numerical': 0.002, 'mean_word_length': 5.542483660130719, '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}}
Linear response theory of inter-quantum-well tunnelling in a double-well structure with in-plane magnetic fields

A linear response theory of incoherent tunnelling is presented and compared to data for the 2D-2D inter-quantum-well conductance for a double-well structure with an external in-plane magnetic field. The tunnelling conductance, calculated by evaluating the current-current correlation function shows resonances as a function of the magnetic field. The widths and heights of the resonance peaks depend sensitively on the intra-well scattering times and temperature. Tunnelling occurs not only through the ground-energy sublevels but also through the higher-energy sublevels which can be important at high temperatures. Using a differential transmission-line model analytic relationships between the source-drain conductance and the tunnelling conductance are derived. The theoretical results yield reasonable agreement with the tunnelling conductance data obtained from this relationship.