Among our top favorite groundcover plants for low-water, partly-shaded gardens are Cambridge Geranium (Geranium x cantabrigiense) and its best cultivars. They excel as low-maintenance colorful, long-blooming and long-lived, low-growing, spreading evergreen carpets under trees and in east and north exposures.
Right now we have plenty of cultivars ‘Biokovo’(palest blush), ‘Westray’ (pink), ‘St. Ola’ (white flowers from red buds) and ‘Crystal Rose’(unique vivid pink).

Geranium cantabrigiense ‘Biokovo’
Rarely exceeding 12” tall, they provide dense masses of bloom over attractive mid-green foliage that emits a spicy woodland fragrant when rubbed. A second season of color comes in fall and winter, when the foliage turns shades of red and orange.
Cambridge Geraniums are happy in most soil types, including clay, and thrive in USDA zones 4 through 7. They can also be grown in sunnier exposures with more water, and in full shade with less flowering.