How Generic Scale Invariance Influences Quantum and Classical Phase Transitions
TLDR
In this article, the authors discuss a paradigm that has become of increasing importance in the theory of quantum phase transitions, namely, the coupling of the order-parameter fluctuations to other soft modes and the resulting impossibility of constructing a simple Landau-Ginzburg-Wilson theory in terms of order parameter only.Abstract:
This review discusses a paradigm that has become of increasing importance in the theory of quantum phase transitions, namely, the coupling of the order-parameter fluctuations to other soft modes and the resulting impossibility of constructing a simple Landau-Ginzburg-Wilson theory in terms of the order parameter only. The soft modes in question are manifestations of generic scale invariance, i.e., the appearance of long-range order in whole regions in the phase diagram. The concept of generic scale invariance and its influence on critical behavior is explained using various examples, both classical and quantum mechanical. The peculiarities of quantum phase transitions are discussed, with emphasis on the fact that they are more susceptible to the effects of generic scale invariance than their classical counterparts. Explicit examples include the quantum ferromagnetic transition in metals, with or without quenched disorder; the metal-superconductor transition at zero temperature; and the quantum antiferromagnetic transition. Analogies with classical phase transitions in liquid crystals and classical fluids are pointed out, and a unifying conceptual framework is developed for all transitions that are influenced by generic scale invariance.read more
Citations
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Evolution of order and chaos across a first-order quantum phase transition
Amiram Leviatan,Michal Macek +1 more
TL;DR: In this paper, the evolution of the dynamics across a generic first-order quantum phase transition in an interacting boson model of nuclei is studied and the impact of kinetic collective rotational terms on this intricate interplay of order and chaos is investigated.
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Fluctuations of imbalanced fermionic superfluids in two dimensions induce continuous quantum phase transitions and non-Fermi liquid behavior
Philipp Strack,Pawel Jakubczyk +1 more
TL;DR: In this paper, the authors study the nature of superfluid pairing in imbalanced Fermi mixtures in two spatial dimensions and show that repeated scattering processes between the two fermi surfaces and fluctuating Cooper pairs lead to shorter-than-fermi liquid quasi-particle lifetimes.
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First-order quantum phase transitions: test ground for emergent chaoticity, regularity and persisting symmetries
Michal Macek,Amiram Leviatan +1 more
TL;DR: In this paper, the authors present a comprehensive analysis of the emerging order and chaos and enduring symmetries, accompanying a generic (high-barrier) first-order quantum phase transition (QPT).
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Ordered phases of itinerant Dzyaloshinsky-Moriya magnets and their electronic properties
TL;DR: In this article, a field theory appropriate for magnets that display helical order due to the Dzyaloshinsky-Moriya mechanism is used to derive the phase diagram in a mean-field approximation.
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Revealing fermionic quantum criticality from new Monte Carlo techniques
TL;DR: Recently, new developments in model design and algorithm improvements enabled unbiased large-scale numerical solutions to be achieved in the close vicinity of these quantum critical points, which paves a new pathway towards achieving controlled conclusions through combined efforts of theoretical and numerical studies as mentioned in this paper.
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