How Generic Scale Invariance Influences Quantum and Classical Phase Transitions
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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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Quantum phase transitions in heavy fermion metals and Kondo insulators
Qimiao Si,Silke Paschen +1 more
TL;DR: In this paper, a global phase diagram of antiferromagnetic (AF) heavy fermion metals was proposed and applied to the case of Kondo insulators, and the future prospect to study the interplay among Kondo coherence, magnetism, and topological states.
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Quantum phase transitions in heavy fermion metals and Kondo insulators
Qimiao Si,Silke Paschen +1 more
TL;DR: In this article, the theoretical basis for a global phase diagram of antiferromagnetic heavy fermion metals, and the recent surge of materials suitable for studying this phase diagram was discussed.
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Metallic ferromagnetism in the Kondo lattice.
Seiji J. Yamamoto,Qimiao Si +1 more
TL;DR: It is shown that the ferromagnetic order of the Kondo lattice is amenable to an asymptotically exact analysis over a range of interaction parameters, and the prospect for a new class of ferromagnetism quantum phase transitions is raised.
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Nonanalytic paramagnetic response of itinerant fermions away and near a ferromagnetic quantum phase transition
TL;DR: In this paper, nonanalytic paramagnetic response of an interacting Fermi system both away and in the vicinity of a ferromagnetic quantum phase transition (QCP) was studied.
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Itinerant quantum critical point with frustration and a non-Fermi liquid
TL;DR: In this paper, the frustrated transverse-field triangle-lattice Ising model coupled with a Fermi surface is investigated and the quantum critical point (QCP) has an emergent U(1) symmetry and thus belongs to the (2+1)D XY universality class.
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