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We study the weak localization effect in quantum transport through a cleanballistic cavity with regular classical dynamics. We address the question whichpaths account for the suppression of conductance through a system wheredisorder and chaos are absent. By exploiting both quantum and semiclassicalmethods, we unambiguously identify paths that are diffractively backscatteredinto the cavity (when approaching the lead mouths from the cavity interior) toplay a key role. Diffractive scattering couples transmitted and reflected pathsand is thus essential to reproduce the weak-localization peak in reflection andthe corresponding anti-peak in transmission. A comparison of semiclassicalcalculations featuring these diffractive paths yields good agreement with fullquantum calculations and experimental data. Our theory provides system-specificpredictions for the quantum regime of few open lead modes and can be expectedto be relevant also for mixed as well as chaotic systems.

Diffractive paths for weak localization in quantum billiards