Perhaps the following example will help. Basically you can either remove the handlers of the logger you’d like to disable, or don’t propagate with the logger you are logging from.
$ cat testlog.py
import logging
logging.basicConfig(filename="foo", level=logging.DEBUG)
root_logger = logging.getLogger()
root_logger.debug('bar')
my_logger = logging.getLogger('my_logger')
FORMAT = "%(process)s %(thread)s: %(message)s"
formatter = logging.Formatter(fmt=FORMAT)
handler = logging.StreamHandler()
handler.setFormatter(formatter)
my_logger.addHandler(handler)
my_logger.setLevel(logging.DEBUG)
my_logger.info('baz')
my_logger.propagate = False
my_logger.info('foobar')
my_logger.propagate = True
my_logger.info('foobaz')
root_logger.handlers = []
my_logger.info('barbaz')
$ python testlog.py
5927 140735224465760: baz
5927 140735224465760: foobar
5927 140735224465760: foobaz
5927 140735224465760: barbaz
$ cat foo
DEBUG:root:bar
INFO:my_logger:baz
INFO:my_logger:foobaz