Daniel L. SteinDaniel L. Stein

Professor of Physics and Mathematics
Ph.D., Princeton University, 1979

My Research

D.L. Stein: Research on Disordered and Random Materials (for Physicists)

My research (in collaboration with Charles Newman, and sometimes others) addresses the mathematical foundations of the theory of condensed matter systems with quenched disorder; we are particularly, but not exclusively, interested in the class of disordered magnets known as spin glasses.

Although there exist proposed solutions of idealized (and unrealistic) spin glass models, in particular those with infinite-ranged interactions, our interests center on answering fundamental statistical mechanical questions that bear on the behavior of real laboratory spin glasses. These questions, many of which remain controversial despite two decades of intensive study, include the nature of ordering in the equilibrium spin glass phase (assuming one exists), understanding anomalous dynamical behavior, such as slow relaxation and aging arising from nonequilibrium dynamics, and proving the presence or absence of a phase transition in finite dimensions.

The methods used and concepts introduced should be relevant not only for spin glasses but also for other disordered systems, many of which remain poorly understood. Moreover, the generality of our approach should yield

Sketch of RKKY
	 interactions leading to frustration; see
	 Scientific American v. 260, pp. 52 -- 59 (1989).


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