Numerical model of quantum oscillations in quasi-two-dimensional organic metals in high magnetic fields

Harrison, N.; Bogaerts, Ria; Reinders, P. H. P.; Singleton, John; Blundell, Stephen J.; Herlach, F.

doi:10.1103/physrevb.54.9977

Cited by 114 publications

(240 citation statements)

References 27 publications

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“…Large oscillations in µ tend to occur in layered metals owing to the absence of a large reservoir of phase-incoherent states to pin µ at an essentially constant value [21][22][23] . Instead of the Landau levels passing through a constant chemical potential-as described in the simplest Lifshitz-Kosevich theory 17 -µ itself oscillates.…”

Section: Discussionmentioning

confidence: 99%

“…Numerical simulations of the magnetization (modelled using the method in ref. 22) were made for a Fermi surface with multiple components. Fermi surface parameters are taken from ref.…”

Section: Methodsmentioning

confidence: 99%

“…The second harmonic is extracted by fitting and subtracting from the data an unconstrained sum of four low frequencies (F < 700T), similar to those earlier reported in references 6,7,9,10, and a slowly varying aperiodic background (fit procedure shown in Methods). From the analysis of the measured second harmonic oscillations, we present the surprising finding that the harmonic content in underdoped YBa 2 Cu 3 O 6 + x (x = 0.56) arises from oscillations of the chemical potential, which are enhanced compared to normal metals by the quasi-two-dimensional topology of the Fermi surface 17,[21][22][23][24] . Oscillatory features corresponding to multiple frequencies in 1/B previously reported 3,6,7,9 are observed: (F α = 535(5) T, F γ1 = 440(10) T, F γ2 = 610(20) T) down to 22 T, and F β = 1,550(50) T at the lowest temperatures 1 K (to be presented elsewhere); yet, we conclude, from the magnitude and phase of the second harmonic with respect to the fundamental oscillations, that the Fermi surface consists chiefly of a single carrier pocket, the multiple frequency components arising from effects of finite c-axis dispersion, bilayer splitting, and magnetic breakdown.…”

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confidence: 95%

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Chemical potential oscillations from nodal Fermi surface pocket in the underdoped high-temperature superconductor YBa2Cu3O6+x

Sebastian¹,

Harrison²,

Altarawneh³

et al. 2011

Nat Commun

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The electronic structure of the normal state of the underdoped cuprates has thus far remained mysterious, with neither the momentum space location nor the charge carrier type of constituent small Fermi surface pockets being resolved. Whereas quantum oscillations have been interpreted in terms of a nodal-antinodal Fermi surface including electrons at the antinodes, photoemission indicates a solely nodal density-of-states at the Fermi level. Here we examine both these possibilities using extended quantum oscillation measurements. second harmonic quantum oscillations in underdoped YBa 2 Cu 3 o 6 + x are shown to arise chiefly from oscillations in the chemical potential. We show from the relationship between the phase and amplitude of the second harmonic with that of the fundamental quantum oscillations that there exists a single carrier Fermi surface pocket, likely located at the nodal region of the Brillouin zone, with the observed multiple frequencies arising from warping, bilayer splitting and magnetic breakdown.

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Section: Discussionmentioning

confidence: 99%

“…Numerical simulations of the magnetization (modelled using the method in ref. 22) were made for a Fermi surface with multiple components. Fermi surface parameters are taken from ref.…”

Section: Methodsmentioning

confidence: 99%

mentioning

confidence: 95%

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Chemical potential oscillations from nodal Fermi surface pocket in the underdoped high-temperature superconductor YBa2Cu3O6+x

Sebastian¹,

Harrison²,

Altarawneh³

et al. 2011

Nat Commun

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“…A two-dimensional Lifshitz-Kosevich formula 36 has been used to extract the effective masses m * of the various Fermisurface pockets, where possible. 41 The Fourier amplitude of each series of quantum oscillations is given by…”

Section: Other Fermi-surface Parametersmentioning

confidence: 99%

Robust superconducting state in the low-quasiparticle-density organic metalsβ″−(BEDT−TTF)4[(
Bangura
¹
,
Coldea
²
,
Singleton
³

et al. 2005
Phys. Rev. B
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We report magnetotransport measurements on the quasi-two-dimensional charge-transfer salts ␤Љ-͑BEDT-TTF͒ 4 ͓͑H 3 O͒M͑C 2 O 4 ͒ 3 ͔Y, with Y =C 6 H 5 NO 2 and C 6 H 5 CN using magnetic fields of up to 45 T and temperatures down to 0.5 K. A surprisingly robust superconducting state with an in-plane upper critical field B c2ʈ Ϸ 33 T, comparable to the highest critical field of any BEDT-TTF superconductor, and critical temperature T c Ϸ 7 K is observed when M = Ga and Y =C 6 H 5 NO 2 . The presence of magnetic M ions reduces the in-plane upper critical field to Ϸ18 T for M = Cr and Y =C 6 H 5 NO 2 and M = Fe and Y =C 6 H 5 CN. Prominent Shubnikov-de Haas oscillations are observed at low temperatures and high magnetic fields, showing that the superconducting salts possess Fermi surfaces with one or two small quasi-two-dimensional pockets, their total area comprising Շ6% of the room-temperature Brillouin zone; the quasiparticle effective masses were found to be enhanced when the ion M was magnetic ͑Fe or Cr͒. The low effective masses and quasiparticle densities, and the systematic variation of the properties of the ␤Љ-͑BEDT-TTF͒ 4 ͓͑H 3 O͒M͑C 2 O 4 ͒ 3 ͔Y salts with unit-cell volume points to the possibility of a superconducting groundstate with a charge-fluctuation-mediated superconductivity mechanism such as that proposed by Merino and McKenzie ͓Phys. Rev. Lett. 87, 237002 ͑2001͔͒, rather than the spin-fluctuation mechanism appropriate for the -͑BEDT-TTF͒ 2 X salts.

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“…From numerical calculations for the single-band systems 30,31 , it has been shown that the temperaturedependence of the amplitude of the dHvA oscillation can not be described by the LK formula. The conventional fitting of the LK formula may not give the cyclotron effective mass in the two-dimension.…”

Section: Introductionmentioning

confidence: 99%

de Haas–van Alphen effect in two-dimensional and quasi-two-dimensional systems

Kishigi

Hasegawa

2002

Phys. Rev. B

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We study the de Haas-van Alphen (dHvA) oscillation in two-dimensional and quasi-two-dimensional systems. We give a general formula of the dHvA oscillation in two-dimensional multi-band systems. By using this formula, the dHvA oscillation and its temperature-dependence for the twoband system are shown. By introducing the interlayer hopping tz, we examine the crossover from the two-dimension, where the oscillation of the chemical potential plays an important role in the magnetization oscillation, to the three-dimension, where the oscillation of the chemical potential can be neglected as is well know as the Lifshitz and Kosevich formula. The crossover is seen at 4tz ∼ 8tabH/φ0, where a and b are lattice constants, φ0 is the flux quantum and 8t is the width of the total energy band. We also study the dHvA oscillation in quasi-two-dimensional magnetic breakdown systems. The quantum interference oscillations such as β-α oscillation as well as the fundamental oscillations are suppressed by the interlayer hopping tz, while the β+α oscillation gradually increases as tz increases and it has a maximum at tz/t ≈ 0.025. This interesting dependence on the dimensionality can be observed in the quasi-two-dimensional organic conductors with uniaxial pressure.

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Numerical model of quantum oscillations in quasi-two-dimensional organic metals in high magnetic fields

Cited by 114 publications

References 27 publications

Chemical potential oscillations from nodal Fermi surface pocket in the underdoped high-temperature superconductor YBa2Cu3O6+x

Chemical potential oscillations from nodal Fermi surface pocket in the underdoped high-temperature superconductor YBa2Cu3O6+x

Robust superconducting state in the low-quasiparticle-density organic metalsβ″−(BEDT−TTF)4[(
Bangura
¹
,
Coldea
²
,
Singleton
³

et al. 2005
Phys. Rev. B
Self Cite

de Haas–van Alphen effect in two-dimensional and quasi-two-dimensional systems

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Numerical model of quantum oscillations in quasi-two-dimensional organic metals in high magnetic fields

Cited by 114 publications

References 27 publications

Chemical potential oscillations from nodal Fermi surface pocket in the underdoped high-temperature superconductor YBa2Cu3O6+x

Chemical potential oscillations from nodal Fermi surface pocket in the underdoped high-temperature superconductor YBa2Cu3O6+x

Robust superconducting state in the low-quasiparticle-density organic metalsβ″−(BEDT−TTF)4[(Bangura1, Coldea2, Singleton3 et al. 2005Phys. Rev. BSelf Cite

de Haas–van Alphen effect in two-dimensional and quasi-two-dimensional systems

Contact Info

Product

Resources

About

Robust superconducting state in the low-quasiparticle-density organic metalsβ″−(BEDT−TTF)4[(
Bangura
¹
,
Coldea
²
,
Singleton
³

et al. 2005
Phys. Rev. B
Self Cite