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We report experimental and theoretical investigations of the Hall effect in YbRh2Si2 and its reference compounds LuRh2Si2 and YbIr2Si2. Based on band-structure calculations we identify two bands dominating the Hall coefficient in all these…

Strongly Correlated Electrons · Physics 2010-07-08 S. Friedemann , N. Oeschler , S. Wirth , C. Krellner , C. Geibel , F. Steglich , S. MaQuilon , Z. Fisk , S. Paschen , G. Zwicknagl

YbRh2Si2 is a model system for quantum criticality. Particularly, Hall effect measurements helped identify the unconventional nature of its quantum critical point. Here, we present a high-resolution study of the Hall effect and…

Recent experimental studies have revealed an abrupt change in the Hall number at a field tuned quantum critical point in the heavy fermion magnet YbRh2Si2. We investigate this by calculating the local density band structure for this metal…

Strongly Correlated Electrons · Physics 2009-11-11 M. R. Norman

The heavy fermion systems present a unique platform in which strong electronic correlations give rise to a host of novel, and often competing, electronic and magnetic ground states. Amongst a number of potential experimental tools at our…

Strongly Correlated Electrons · Physics 2012-10-18 Sunil Nair , S. Wirth , S. Friedemann , F. Steglich , Q. Si , A. J. Schofield

We present Shubnikov-de Haas measurements on LuRh2Si2, the non-magnetic reference compound to the prototypical heavy-fermion system YbRh2Si2. We find an extensive set of orbits with clear angular dependences. Surprisingly, the agreement…

Strongly Correlated Electrons · Physics 2015-06-03 S. Friedemann , S. K. Goh , F. M. Grosche , Z. Fisk , M. Sutherland

The Hall effect in LuNi_2B_2C and YNi_2B_2C borocarbides has been investigated in normal and superconducting mixed states. The Hall resistivity rho_{xy} for both compounds is negative in the normal as well as in the mixed state and has no…

We investigate the magnetic field dependent thermopower, thermal conductivity, resistivity and Hall effect in the heavy fermion metal YbRh2Si2. In contrast to reports on thermodynamic measurements, we find in total three transitions at high…

We report the results of a low temperature (T >= 50 mK) and high field (H <= 180 kOe) study of the Hall resistivity in single crystals of YbAgGe, a heavy fermion compound that demonstrates field-induced non-Fermi-liquid behavior near its…

Strongly Correlated Electrons · Physics 2009-11-11 S. L. Bud'ko , V. Zapf , E. Morosan , P. C. Canfield

We report the results of a study of the Hall effect and magnetoresistance in single crystals of Sr2RuO4 in which Sr^(2+) has been substituted by La^(3+) (Sr(2-y)La(y)RuO(4)) or Ru^(4+) by Ti^(4+) (Sr(2)Ru(1-x)Ti(x)O(4)). For undoped…

Strongly Correlated Electrons · Physics 2009-11-10 N. Kikugawa , A. P. Mackenzie , C. Bergemann , Y. Maeno

We study the effect of magnetic fields up to 15 T on the heavy fermion state of YbRh$_2$Si$_2$ via Hall effect and magnetoresistance measurements down to 50 mK. Our data show anomalies at three different characteristic fields. We compare…

Strongly Correlated Electrons · Physics 2015-06-16 H. R. Naren , S. Friedemann , G. Zwicknagl , C. Krellner , C. Geibel , F. Steglich , S. Wirth

The heavy-fermion metal YbRh2Si2 displays a field-driven quantum phase transition where signatures of a Fermi-surface reconstruction have been identified, often interpreted as breakdown of the Kondo effect. We argue that instead many…

Strongly Correlated Electrons · Physics 2011-04-06 Andreas Hackl , Matthias Vojta

We investigate the emerging consequences of an applied strong in-plane electric field on a macroscopically large graphene sheet subjected to a perpendicular magnetic field, by determining in exact analytical form various many-body…

General Physics · Physics 2018-02-07 Georgios Konstantinou , Konstantinos Moulopoulos

Screening of an external random potential by a two dimensional (2D) Fermi liquid may be strongly dependent on the degree of its polarization. This is considered as a possible mechanism for the observed strong magnetoresistance of the 2D…

Strongly Correlated Electrons · Physics 2009-10-31 Igor F. Herbut

Pulsed field measurements of the Hall resistivity and magnetoresistance of underdoped YBa2Cu4O8 are analyzed self-consistently using a simple model based on coexisting electron and hole carriers. The resultant mobilities and Hall numbers…

The Hall resistivity rho_{xy} of LuNi_2B_2C is negative in the normal as well as in the mixed state and has no sign reversal typical for high-T_c superconductors. A distinct nonlinearity in the rho_{xy} dependence on field H was found in…

Superconductivity · Physics 2009-10-31 V. N. Narozhnyi , J. Freudenberger , V. N. Kochetkov , K. A. Nenkov , G. Fuchs , K. -H. Müller

To fully appreciate the impacts that the discovery of the quantum Hall effect had on electrical metrology, it may benefit the reader to cultivate a general understanding of the phenomenon. Two-dimensional electron systems can exhibit many…

Mesoscale and Nanoscale Physics · Physics 2022-02-15 Albert F. Rigosi

We study the quantum Hall effect inside a gravitational field. First, we review the influence of the gravitational field of the Earth on the quantum Hall effect. Taking the gravitational field of the Earth to be uniform along the vertical…

General Relativity and Quantum Cosmology · Physics 2020-07-02 F. Hammad , A. Landry , K. Mathieu

We perform comprehensive theoretical analysis of high magnetic field behavior of the heavy-fermion (HF) compound YbRh2Si2. At low magnetic fields B, YbRh2Si2 has a quantum critical point related to the suppression of antiferromagnetic…

Strongly Correlated Electrons · Physics 2015-03-18 V. R. Shaginyan , K. G. Popov , V. A. Stephanovich , V. I. Fomichev , E. V. Kirichenko

We investigate the Hall effect in two different theoretical models of strongly correlated systems: a system made of weakly coupled Luttinger liquids, in the presence of umklapp scattering, and the 2D triangular lattice, with…

Strongly Correlated Electrons · Physics 2008-12-11 Gladys León

The Hall effect is a powerful tool for investigating carrier type and density. For single-band materials, the Hall coefficient is traditionally expressed simply by $R_H^{-1} = -en$, where $e$ is the charge of the carrier, and $n$ is the…

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