ChemInform Abstract: Onset of Antiferromagnetism in Heavy‐Fermion Metals

Schroeder, Almut; Aeppli, G.; Coldea, R.; Adams, Mark A.; Stockert, O.; Loehneysen, H. v.; Bücher, E.; Ramazashvili, Revaz; Coleman, Piers

doi:10.1002/chin.200050006

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“…that is similar to that observed in other systems at quantum criticality; 34,35 this was previously derived by more technical methods. 23 Predictions for experiment are summarized in Table II.…”

Section: Finite-size Scaling In Timesupporting

confidence: 86%

“…To provide an explicit illustration of the above calculations, we now use (33), and (35) to numerically determine the temperature-dependent paraelectric susceptibility in the approach to the quantum critical point (QCP) in d = 3. We obtain χ −1 (T ) = ∆ 2 ∼ T 2 for the approach r = r c in agreement with previous results and discussion.…”

Section: Temperature-dependent Dielectric Susceptibilitymentioning

confidence: 99%

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Quantum critical paraelectrics and the Casimir effect in time

2009

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We study the quantum paraelectric-ferroelectric transition near a quantum critical point, emphasizing the role of temperature as a "finite size effect" in time. The influence of temperature near quantum criticality may thus be likened to a temporal Casimir effect. The resulting finitesize scaling approach yields 1 T 2 behavior of the paraelectric susceptibility (χ) and the scaling form, recovering results previously found by more technical methods. We use a Gaussian theory to illustrate how these temperature-dependences emerge from a microscopic approach; we characterize the classical-quantum crossover in χ, and the resulting phase diagram is presented. We also show that coupling to an acoustic phonon at low temperatures (T ) is relevant and influences the transition line, possibly resulting in a reentrant quantum ferroelectric phase.Observable consequences of our approach for measurements on specific paraelectric materials at low temperatures are discussed.

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Section: Finite-size Scaling In Timesupporting

confidence: 86%

Section: Temperature-dependent Dielectric Susceptibilitymentioning

confidence: 99%