The Hall Effect and Its Relation to Other Transport Phenomena in the Normal State of the High-Temperature Superconductors

Ong, N. P.

doi:10.1142/9789814343046_0007

Cited by 42 publications

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“…While the theoretical formulation of the Hall linear response R H (ω, T ) is well established [8,9], there are very few theoretical results and numerical studies for models with strong correlation in particular in the relevant low T and low doping regime [10]. Recently an approach and a numerical procedure have been designed [11] which yield for a static d.c. R H at T = 0 (although for a ladder system) the desired result, namely a semi-classical behavior R * H = 1/e 0 n h in a magnetic insulator at low hole doping n h = N h /N (e 0 being the electric charge), as found experimentally in cuprates [6,7]. Moreover, for a reactive (non-dissipative) R H (T = 0) [12] it was possible to find an useful relation to the variation of the Drude weight (charge stiffness) D with the electron density n,…”

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confidence: 73%

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Vanishing Hall constant in the stripe phase of cuprates

2001

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The Hall constant RH is considered for the stripe structures. In order to explain the vanishing of RH in La2−y−xNdySrxCuO4 at x = 1/8, we use the relation of RH to the Drude weight D as well as direct numerical calculation, to obtain results within the t-J model, where the stripes are imposed via a charge potential and a staggered magnetic field. The origin of RH ∼ 0 is related to a maximum in D and the minimal kinetic energy in stripes with a hole filling ∼ 1/2. The same argument indicates on a possibility of RH ∼ 0 in the whole range of static stripes for x ≤ 1/8. PACS numbers: 71.27.+a, 71.10.Fd, 72.15.Gd The evidence for the stripe structures in La 2−y−x Nd y Sr x CuO 4 (LNSCO) emerging from neutron scattering experiments [1] has stimulated in recent years numerous experimental and theoretical investigations, trying to relate this phenomenon to superconductivity and other anomalous properties of cuprates. In the commensurate case x ∼ 1/8 the stripe structure represents spin and charge ordering, i.e., domain walls within an ordered two-dimensional antiferromagnet (AFM) with the filling of n l = N h /L = 1/2 hole per unit length (quarter filling in the usual band picture) within each domain wall -stripe. Actually, it was shown in the recent angle-resolved photoemission spectroscopy experiments that the stripes are in the quarter filled state [2]. In contrast to many other systems showing spin-density wave and charge-density wave order at low temperatures, the stripe structures in cuprates appear to be metallic [3]. This can be explained with charge carriers -holes being well mobile along the one-dimensional (1D) stripes. Recently, a systematic study of LNSCO (y = 0.6) with varying doping x [4] revealed a striking signature of stripes in the behavior of the Hall constant R H . While for x > 0.15 R H (x, T ) is very close to that of the reference doped La 2−x Sr x CuO 4 (LSCO), R H appears to be very sensitive to the structural phase transition between the lowtemperature tetragonal (LTT) and orthorhombic (LTO) phase for x < 0.15. Below the LTT-LTO transition R H becomes strongly T and x dependent and it eventually vanishes, R H ∼ 0, at T ∼ 0 for x ∼ 0.12, i.e., in the structure with long range stripe order. At the same time the anomaly is weakly pronounced in the planar resistivity ρ ab [4].In the present paper, we investigate R H in stripe structures and in particular a possible explanation for its vanishing. R H ∼ 0 in a conducting system is quite unusual and non universal. For instance, it could happen in an ordinary metal due to (accidental) cancellation of band curvatures or due to band crossings. However, cuprates are closer to hole-doped Mott insulators where in the reference LSCO a (semiconductor-like) semiclassical R H ∝ 1/x is followed in a wide range x < 0.2 at low T . R H ∼ 0 in LNSCO at x ∼ 1/8 is, on the other hand, a very pronounced deviation from the latter. Therefore, one can speculate on more fundamental origin of this most pronounced macroscopic effect of stripes whereby the strong correlat...

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confidence: 73%

“…It is evident that the Hall effect in cuprates [6,7], as well as in systems with strongly correlated electrons in general, still lacks proper theoretical understanding. This applies for most investigated reference cuprate LSCO and R H dependence on T and hole doping n h .…”

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confidence: 99%

Vanishing Hall constant in the stripe phase of cuprates

2001

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“…Unfortunately, these predictions cannot yet be tested with ordinary superconductors, because charge carrier densities and mobilities in these systems do not put them into the quantum Hall regime [55]. Their verification would be the smoking gun for particle-vortex duality, although its testing must wait until these systems can be reliably manufactured in the quantum regime.…”

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Particle-vortex duality and the modular group: Applications to the quantum Hall effect and other two-dimensional systems

2001

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We show how particle-vortex duality implies the existence of a large non-abelian discrete symmetry group which relates the electromagnetic response for dual two-dimensional systems in a magnetic field. For conductors with charge carriers satisfying Fermi statistics (or those related to fermions by the action of the group), the resulting group is known to imply many, if not all, of the remarkable features of Quantum Hall systems. For conductors with boson charge carriers (modulo group transformations) a different group is predicted, implying equally striking implications for the conductivities of these systems, including a super-universality of the critical exponents for conductor/insulator and superconductor/insulator transitions in two dimensions and a hierarchical structure, analogous to that of the quantum Hall effect but different in its details. Our derivation shows how this symmetry emerges at low energies, depending only weakly on the details of dynamics of the underlying systems.

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“…This behavior is in contrast to what is seen in transport measurements. Resistivity and Hall effect data indicate that the transport characteristics scale with x, 28,29 even into the overdoped regime. 30 Although it is conceivable that only those mobile electrons which have relatively low coupling to other degrees of freedom contribute to the transport, it is surely more than coincidental that this proportion should be exactly x/(1ϩx).…”

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confidence: 98%

Doping dependence of the Fermi surface in(Bi,Pb)2Sr
Kordyuk
¹
,
Борисенко
²
,
Golden
³

et al. 2002
Phys. Rev. B
93
6
94
1
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General rightsIt is not permitted to download or to forward/distribute the text or part of it without the consent of the author(s) and/or copyright holder(s), other than for strictly personal, individual use, unless the work is under an open content license (like Creative Commons). Disclaimer/Complaints regulationsIf you believe that digital publication of certain material infringes any of your rights or (privacy) interests, please let the Library know, stating your reasons. In case of a legitimate complaint, the Library will make the material inaccessible and/or remove it from the website. Please Ask the Library: http://uba.uva.nl/en/contact, or a letter to: Library of the University of Amsterdam, Secretariat, Singel 425, 1012 WP Amsterdam, The Netherlands. You will be contacted as soon as possible. A detailed and systematic angle-resolved photoemission spectroscopy investigation of the doping dependence of the normal-state Fermi surface ͑FS͒ of modulation-free ͑Pb,Bi͒-2212 is presented. The FS does not change in topology away from hole like at any stage. The FS area does not follow the usual curve describing T c vs x for the hole-doped cuprates, but is downshifted in doping by ca. 0.05 holes per Cu site, indicating the consequences of a significant bilayer splitting of the FS across the whole doping range. The strong k dependence of the FS width is shown to be doping independent. The relative strength of the shadow FS has a doping dependence mirroring that of T c .

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The Hall Effect and Its Relation to Other Transport Phenomena in the Normal State of the High-Temperature Superconductors

Cited by 42 publications

References 0 publications

Vanishing Hall constant in the stripe phase of cuprates

Vanishing Hall constant in the stripe phase of cuprates

Particle-vortex duality and the modular group: Applications to the quantum Hall effect and other two-dimensional systems

Doping dependence of the Fermi surface in(Bi,Pb)2Sr
Kordyuk
¹
,
Борисенко
²
,
Golden
³

et al. 2002
Phys. Rev. B
93
6
94
1
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The Hall Effect and Its Relation to Other Transport Phenomena in the Normal State of the High-Temperature Superconductors

Cited by 42 publications

References 0 publications

Vanishing Hall constant in the stripe phase of cuprates

Vanishing Hall constant in the stripe phase of cuprates

Particle-vortex duality and the modular group: Applications to the quantum Hall effect and other two-dimensional systems

Doping dependence of the Fermi surface in(Bi,Pb)2SrKordyuk1, Борисенко2, Golden3 et al. 2002Phys. Rev. B936941View full textAdd to dashboardCite

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Doping dependence of the Fermi surface in(Bi,Pb)2Sr
Kordyuk
¹
,
Борисенко
²
,
Golden
³

et al. 2002
Phys. Rev. B
93
6
94
1
View full text Add to dashboard Cite