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Physics

University of Massachusetts Amherst

2006

Quantum phase transitions; Scaling; Deconfined critical point

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Deconfined Criticality, Runaway Flow In The Two-Component Scalar Electrodynamics And Weak First-Order Superfluid-Solid Transitions, A Kuklov, Nikolai Prokof'ev, Boris Svistunov, M Troyer Jan 2006

Deconfined Criticality, Runaway Flow In The Two-Component Scalar Electrodynamics And Weak First-Order Superfluid-Solid Transitions, A Kuklov, Nikolai Prokof'ev, Boris Svistunov, M Troyer

Physics Department Faculty Publication Series

We perform a comparative Monte Carlo study of the easy-plane deconfined critical point (DCP) action and its short-range counterpart to reveal close similarities between the two models for intermediate and strong coupling regimes. For weak coupling, the structure of the phase diagram depends on the interaction range: while the short-range model features a tricritical point and a continuous U(1) × U(1) transition, the long-range DCP action is characterized by the runaway renormalization flow of coupling into a first (I) order phase transition. We develop a “numerical flowgram” method for high precision studies of the runaway effect, weakly I-order transitions, and …