Titlebook: Interplay of Quantum and Statistical Fluctuations in Critical Quantum Matter; Harley Scammell Book 2018 Springer Nature Switzerland AG 201

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978-3-030-07369-5Springer Nature Switzerland AG 2018

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Introduction,providing clarity in the face of otherwise unimaginable complexity. This thesis is solely concerned with .. In such quantum systems, the complexity arises due to interaction-induced correlations between the many electronic degrees of freedom—rendering exact or analytical calculations impractical or even impossible.

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Bose-Einstein Condensation of Particles with Half-Integer Spin,ree dimensions, focusing on mode dispersions, phase boundaries, and critical indices. We find that the unusual condensate supports a Goldstone mode with quadratic dispersion, and this provides a “smoking gun” criterion for searches of the novel phase of matter.

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Harley ScammellNominated as an outstanding Ph.D thesis by the University of New South Wales, Sydney, Australia.Offers a self-contained exploration of magnetic critical systems, and highlights asymptotic freedom as a

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,Continuity of the Order Parameter in Magnetic Condensates,ntum field theory and demonstrates how perturbative corrections are to be handled in a method consistent with the underlying symmetries. A key result is that our treatment satisfies the Goldstone theorem, which is shown to be a necessary condition for the continuity of the phase transition.

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