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"Deconfined" quantum critical points
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The theory of second order phase transitions is one of the foundations of modern statistical mechanics and condensed matter theory. A central concept is the observable `order parameter', whose non-zero average value characterizes one or more phases and usually breaks a symmetry of the Hamiltonian. At large distances and long times, fluctuations of the order parameter(s) are described by a continuum field theory, and these dominate the physics near such phase transitions. In this paper we show that near second order quantum phase transitions, subtle quantum interference effects can invalidate this paradigm. We present a theory of quantum critical points in a variety of experimentally relevant two-dimensional antiferromagnets. The critical points separate phases characterized by conventional `confining' order parameters. Nevertheless, the critical theory contains a new emergent gauge field, and `deconfined' degrees of freedom associated with fractionalization of the order parameters. We suggest that this new paradigm for quantum criticality may be the key to resolving a number of experimental puzzles in correlated electron systems.
Forward citations
Cited by 11 Pith papers
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Does hot QCD have a conformal manifold in the chiral limit?
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Bootstrapping the Simplest Deconfined Quantum Critical Point
Conformal bootstrap bounds for U(1)-charged scalars in 3d are saturated by the CP^2 model's large-N and lattice predictions, suggesting the CP^2 deconfined quantum critical point is a conformal field theory.
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Emergent Quasiparticles \& Field-Tuned RIXS Spectra in a Trimerized Spin-1/2 Chain
For the J1<J2 trimer chain Cu3(P2O6OH)2, RIXS spectra are predicted to show a gapless spinon continuum, doublon and quarton bands, and field-tuned composite spin-1 excitations.
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Central charges $C_J$ and $C_T$ in QED$_d$-GNY model and scalar QED$_d$
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