Role of spin fluctuations in the conductivity of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>CrO</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math>

Heffernan, Kate H.; Song, Yu; Deckoff-Jones, Skylar; Zhang, Xueyu; Gupta, Arunava; Talbayev, Diyar

doi:10.1103/physrevb.93.165143

Cited by 6 publications

(9 citation statements)

References 42 publications

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“…The monopolar (spherically symmetric) piece of the second-order field equation (42) contains several dissipative terms, including a term equal to the flux of energy at infinity, a term equal to the flux of energy through the horizon, and a term describing the rate of orbital-energy dissipation (note that all these quantities are, in fact, second order in η). It can be analytically shown that this portion of the field equation precisely yields the balance law (77). This result, yet to be published, was derived by one of us (AP) recently.…”

Section: Balance Laws and Adiabatic Evolutionmentioning

confidence: 77%

“…This means one normally has to compute a large number of -modes ( max ∼ 50 is typical), which can become computationally expensive. This problem can be mitigated through the use of "high-order regularization parameters", which analytically capture some of the higher-order terms in the 1/ expansion of F α S (z) [76,77]; these higher-order terms can be constructed such that they sum to zero, but including them accelerates the rate of convergence. For more details, refer to [26,27].…”

Section: Mode-sum Methodsmentioning

confidence: 99%

“…GSF codes all involve both a calculation of the local GSF and a calculation of the global perturbation field, from which the fluxes Ė ∞/H and L ∞/H may readily be extracted. Thus, GSF codes offer the opportunity to test the balance relations (77). [Or, conversely, depending on one's point of view, the balance relations (77) offer the opportunity to test GSF codes.]…”

Section: Balance Laws and Adiabatic Evolutionmentioning

confidence: 99%

“…Thus, GSF codes offer the opportunity to test the balance relations (77). [Or, conversely, depending on one's point of view, the balance relations (77) offer the opportunity to test GSF codes.] Explicit numerical calculations demonstrating the validity of (77) have been carried out for a variety of cases, including circular [92] and eccentric [93] orbits in Schwarzschild, eccentric orbits in the equatorial plane of a Kerr black hole [78], and, most recently, generic (eccentric and inclined) bound orbits in Kerr [79].…”

Section: Balance Laws and Adiabatic Evolutionmentioning

confidence: 99%

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Self-force and radiation reaction in general relativity

Barack¹,

Pound²

2018

Rep. Prog. Phys.

337

331

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The detection of gravitational waves from binary black-hole mergers by the LIGO-Virgo Collaboration marks the dawn of an era when generalrelativistic dynamics in its most extreme manifestation is directly accessible to observation. In the future, planned (space-based) observatories operating in the millihertz band will detect the intricate gravitational-wave signals from the inspiral of compact objects into massive black holes residing in galactic centers. Such inspiral events are extremely effective probes of black-hole geometries, offering unparalleled precision tests of General Relativity in its most extreme regime. This prospect has in the past two decades motivated a programme to obtain an accurate theoretical model of the strong-field radiative dynamics in a two-body system with a small mass ratio. The problem naturally lends itself to a perturbative treatment based on a systematic expansion of the field equations in the small mass ratio. At leading order one has a pointlike particle moving in a geodesic orbit around the large black hole. At subsequent orders, interaction of the particle with its own gravitational perturbation gives rise to an effective "self-force", which drives the radiative evolution of the orbit, and whose effects can be accounted for order by order in the mass ratio.This review surveys the theory of gravitational self-force in curved spacetime and its application to the astrophysical inspiral problem. We first lay the relevant formal foundation, describing the rigorous derivation of the equation of self-forced motion using matched asymptotic expansions and other ideas. We then review the progress that has been achieved in numerically calculating the self-force and its physical effects in astrophysically realistic inspiral scenarios. We highlight the way in which, nowadays, self-force calculations make a fruitful contact with other approaches to the two-body problem and help inform an accurate universal model of binary black hole inspirals, valid across all mass ratios. We conclude with a summary of the state of the art, open problems and prospects.Our review is aimed at non-specialist readers and is for the most part selfcontained and non-technical; only elementary-level acquaintance with General Relativity is assumed. Where useful, we draw on analogies with familiar concepts from Newtonian gravity or classical electrodynamics. 7

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Section: Balance Laws and Adiabatic Evolutionmentioning

confidence: 77%

Section: Mode-sum Methodsmentioning

confidence: 99%

Section: Balance Laws and Adiabatic Evolutionmentioning

confidence: 99%

Section: Balance Laws and Adiabatic Evolutionmentioning

confidence: 99%

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Self-force and radiation reaction in general relativity

Barack¹,

Pound²

2018

Rep. Prog. Phys.

337

331

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“…60,61 Its rutile crystal structure and previously measured bulk electronic structure 61 are somewhat encouraging for our purposes. Additionally, synthesis of thin film CrO 2 has also been reported.…”

Section: B Spin Polarized Junctionsmentioning

confidence: 80%

Effective field theory of an anomalous Hall metal from interband quantum fluctuations

Chua

Assawasunthonnet

Fradkin³

2017

Phys. Rev. B

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We construct an effective field theory a two-dimensional two-component metallic system described by a model with two Fermi surfaces ("pockets"). This model describes a translationally invariant metallic system with two types of fermions, each with its own Fermi surface, with forward scattering interactions. This model, in addition to the O(2) rotational invariance, has a U (1) × U (1) symmetry of separate charge conservation for each Fermi surface. For sufficiently attractive interactions in the d-wave (quadrupolar) channel this model has an interesting phase diagram that includes a spontaneously generated anomalous Hall metal phase. We derive the Landau-Ginzburg effective action of quadrupolar order parameter fields which enjoys an O(2)×U (1) global symmetry associated to spatial isotropy and the internal U (1) relative phase symmetries respectively. We show that the order parameter theory is dynamically local with a dynamical scaling of z = 2 and perform a one-loop renormalization group analysis of the Landau-Ginzburg theory. The electronic liquid crystal phases that result from spontaneous symmetry breaking are studied and we show the presence of Landau damped Nambu-Goldstone modes at low momenta that is a signature of non-Fermi liquid behavior. Electromagnetic linear response is also analyzed in both the normal and symmetry broken phases from the point of view of the order parameter theory. The nature of the coupling of electromagnetism to the order parameter fields in the normal phase is non-minimal and decidedly contains a precursor to the anomalous Hall response in the form of a order-parameter-dependent Chern-Simons term in the effective action.

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Increased Excited State Metallicity in Neutral Cr₂O_n Clusters (n < 5) upon Sequential Oxidation

Garcia

Sayres

2021

J. Am. Chem. Soc.

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Excited state lifetimes of neutral Cr 2 O n (n < 5) clusters were measured using femtosecond pump−probe spectroscopy. Density functional theory calculations reveal that the excited state dynamics are correlated with changes in the cluster's electronic structure with increasing oxidation. Upon absorption of a UV (400 nm) photon, the clusters exhibit features attributed to three separate relaxation processes. All clusters exhibit similar subpicosecond lifetimes, attributed to vibrational relaxation. However, the ∼30 fs transient signal fraction grows linearly with oxidation, matching the amount of O to Cr charge transfer character of the photoexcitation and highlighting a gradual transition between semiconducting and metallic behavior at the molecular level. A longlived (>2.5 ps) response is recorded only in clusters with significant d-electron character, suggesting that adiabatic relaxation back to the ground state is efficient in heavily oxidized clusters, due to the presence of terminal O atoms. The simple picture of sequential oxidation of Cr 2 O n reveals a linear variation in the contributions of each relaxation component to the total transient signals, therefore opening possibilities for the design of new molecular spintronic materials.

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Role of spin fluctuations in the conductivity ofCrO2

Cited by 6 publications

References 42 publications

Self-force and radiation reaction in general relativity

Self-force and radiation reaction in general relativity

Effective field theory of an anomalous Hall metal from interband quantum fluctuations

Increased Excited State Metallicity in Neutral Cr₂O_n Clusters (n < 5) upon Sequential Oxidation

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Role of spin fluctuations in the conductivity ofCrO2

Cited by 6 publications

References 42 publications

Self-force and radiation reaction in general relativity

Self-force and radiation reaction in general relativity

Effective field theory of an anomalous Hall metal from interband quantum fluctuations

Increased Excited State Metallicity in Neutral Cr2On Clusters (n < 5) upon Sequential Oxidation

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Product

Resources

About

Increased Excited State Metallicity in Neutral Cr₂O_n Clusters (n < 5) upon Sequential Oxidation