Hart Goldman (MIT) - Dirty Quantum Criticality

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Many of the most mysterious phenomena in condensed matter physics involve systems near quantum phase transitions where the interplay of quenched disorder and strong interactions likely plays an essential role. Examples include the appearance of "anomalous" 2d metallic phases and the sharing of critical exponents between seemingly different quantum Hall plateau transitions. However, few organizing principles have been developed for understanding quantum critical systems with interactions and disorder, and analytically tractable models have proven rare. In this talk, I will describe some of the first examples of quantum critical theories in 2d characterized by finite disorder and interaction strengths, focusing on the particular example of quenched disorder in a theory of scalar bosons at their Wilson-Fisher fixed point. We will see that dirty-interacting quantum critical points generally exhibit universal features not found together in systems with interactions or disorder alone, such as vanishing compressibility, finite DC conductivities, and novel critical exponents.

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