Geometric responses of the Pfaffian state

Dwivedi, Vatsal; Klevtsov, Semyon

doi:10.1103/physrevb.99.205158

Cited by 11 publications

(5 citation statements)

References 68 publications

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“…However, such an elementary derivation is not viable in the interacting case, since the two-point function f (r) is not known. Fortunately, this issue can be circumvented using sum rules [17][18][19][20][21][22].…”

Section: Fractional Quantum Hall Statesmentioning

confidence: 99%

Cornering the universal shape of fluctuations

Estienne,

Stéphan,

Witczak-Krempa

2021

Preprint

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Understanding the fluctuations of observables is one of the main goals in physics, be it quantum or classical, theoretical or experimental. We investigate such fluctuations when only a subregion of the full system can be observed, focusing on geometries with sharp corners. We report that the dependence on the opening angle is super-universal : up to a numerical prefactor, this function does not depend on anything, provided the system under study is uniform, isotropic, and correlations do not decay too slowly. The prefactor does contain important physical information, we show in particular that it gives access to long-wavelength limit of the structure factor. We illustrate our findings with several examples, including fractional quantum Hall states, scale invariant quantum critical theories, and metals. We discuss extensions to three dimensions, as well as experiments to probe the geometry of fluctuations.

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Section: Fractional Quantum Hall Statesmentioning

confidence: 99%

Cornering the universal shape of fluctuations

Estienne,

Stéphan,

Witczak-Krempa

2021

Preprint

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“…The first natural candidate is the non-abelian Moore-Read (Pfaffian) state, which is essentially the Laughlin state multiplied by the correlation function of free fermions. Remarkably, the interacting theory corresponding to overlaps of Moore-Read states [12] appears to be the N = 1 supersymmetric Liouville theory [40] (of course, also deformed by the magnetic field).…”

Section: Discussionmentioning

confidence: 99%

Liouville perturbation theory for Laughlin state and Coulomb gas

Nemkov¹,

Klevtsov²

2021

J. Phys. A: Math. Theor.

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We consider the generating functional (logarithm of the normalization factor) of the Laughlin state on a sphere, in the limit of a large number of particles N. The problem is reformulated in terms of a perturbative expansion of a 2d QFT, resembling the Liouville field theory. We develop an analog of the Liouville loop perturbation theory, which allows us to quantitatively study the generating functional for an arbitrary smooth metric and an inhomogeneous magnetic field beyond the leading orders in large N.

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“…Recently, Dwivedi identified the Griffith‐like phase in a Cr‐substituted pyrochlore Y 2 Ir 2 O 7 compound along with a glass‐like state that is very rare in an antiferromagnetically ordered system. [ 15 ] Alam et al studied the dielectric and optical properties of the Eu 2− x Fe x Ti 2 O 7 compound and observed a high dielectric constant value, which is necessary for high energy storage application. [ 16 ] Berwal et al synthesized Dy 3+ ‐doped Gd 2 Ti 2 O 7 pyrochlore and noticed that the synthesized material could be a promising luminescent compound for white light‐emitting diode applications.…”

Section: Introductionmentioning

confidence: 99%

Structural, Optical, Magnetic, and Magnetocaloric Properties of Sn₂Mn₂O₇ Pyrochlore

Singh,

Rani,

Malik

et al. 2023

Physica Status Solidi (a)

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A new pyrochlore compound Sn2Mn2O7 has been synthesized to investigate its structural, optical, magnetic, and magnetocaloric properties. The refinement of the structure by Le Bail fitting reveals that the compound crystallizes into a monoclinic structure with P2/m space group. The reflectance spectrum has been recorded on a UV‐visible spectrometer between the 200 nm ‐ 800 nm wavelength range. The optical bandgap of the compound is found to be ∽ 3.06 eV. The skin depth, refractive index, extinction coefficient, and optical conductivity have also been computed. A magnetic transition has been observed at T C ∽ 41 K in the magnetization versus temperature behaviour. Arrott’s plot confirms a second‐order magnetic phase transition, which is also established by the scaling analysis of magnetic entropy change. On the application of a 5 T magnetic field, the compound shows a maximum magnetic entropy change of 2.94 J kg‐1 K‐1 at a temperature ∽ 41 K with a relative cooling power of 41 J kg‐1. The maximum magnetic entropy change values are higher than that reported for the Fe2Mn2O7 and smaller than for Al2Mn2O7 compound.This article is protected by copyright. All rights reserved.

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Geometric responses of the Pfaffian state

Cited by 11 publications

References 68 publications

Cornering the universal shape of fluctuations

Cornering the universal shape of fluctuations

Liouville perturbation theory for Laughlin state and Coulomb gas

Structural, Optical, Magnetic, and Magnetocaloric Properties of Sn₂Mn₂O₇ Pyrochlore

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Geometric responses of the Pfaffian state

Cited by 11 publications

References 68 publications

Cornering the universal shape of fluctuations

Cornering the universal shape of fluctuations

Liouville perturbation theory for Laughlin state and Coulomb gas

Structural, Optical, Magnetic, and Magnetocaloric Properties of Sn2Mn2O7 Pyrochlore

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Product

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Structural, Optical, Magnetic, and Magnetocaloric Properties of Sn₂Mn₂O₇ Pyrochlore