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We show that two-dimensional Artin groups satisfy a strengthening of the Titsalternative: their subgroups either contain a non-abelian free group or arevirtually free abelian of rank at most $2$.  When in addition the associated Coxeter group is hyperbolic, we answer in theaffirmative a question of Wise on the subgroups generated by large powers oftwo elements: given any two elements $a, b$ of a two-dimensional Artin group ofhyperbolic type, there exists an integer $n\geq 1$ such that $a^n$ and $b^n$either commute or generate a non-abelian free subgroup.

The Tits Alternative for two-dimensional Artin groups and Wise's Power Alternative