Silent treatment is refusal to communicate verbally with someone who desires the communication.
The Roots - Silent Treatment by TheRootsVEVO
It may range from just sulking to malevolent abusive controlling behaviour.
Power and control in abusive relationships is the way that abusers exert physical, sexual and other forms of abuse to gain and maintain control over a victim.
The Narcissist's Silent Treatment by Gail Meyers
It may be a passive-aggressive form of emotional abuse in which displeasure, disapproval and contempt is exhibited through nonverbal gestures while maintaining verbal silence.
Psychological abuse is a form of abuse, characterized by a person subjecting, or exposing, another person to behavior that may result in psychological trauma, including anxiety, chronic depression, or post-traumatic stress disorder.
Passive-aggressive behavior is the indirect expression of hostility, such as through procrastination, stubbornness, sullen behavior, or deliberate or repeated failure to accomplish requested tasks for which one is responsible.
Contempt, not classified among Paul Ekman's six basic emotions of anger, disgust, fear, happiness, sadness, and surprise, is a mixture of disgust and anger.
Clinical psychologist Harriet Braiker identifies it as a form of manipulative punishment.
A punishment is the imposition of an undesirable or unpleasant outcome upon a group or individual, meted out by an authority—in contexts ranging from child discipline to criminal law—as a response and deterrent to a particular action or behaviour that is deemed undesirable or unacceptable.