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Register a new userHall-effect in LuNi_2B_2C and YNi_2B_2C borocarbides: a comparative study
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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 sign reversal below T_c typical for high-T_c superconductors. In the mixed state the behavior of both systems is quite similar. The scaling relation rho_{xy}simrho_{xx}^beta (rho_{xx} is the longitudinal resistivity) was found with beta=2.0 and 2.1 for annealed Lu- and Y-based compounds, respectively. The scaling exponent beta decreases with increasing degree of disorder and can be varied by annealing. This is attributed to a variation of the strength of flux pinning. In the normal state weakly temperature dependent Hall coefficients were observed for both compounds. A distinct nonlinearity in the rho_{xy} dependence on field H was found for LuNi_2B_2C in the normal state below 40K, accompanied by a large magnetoresistance (MR) reaching +90% for H=160kOe at T=20K. At the same time for YNi_2B_2C only linear rho_{xy}(H) dependences were observed in the normal state with an approximately three times lower MR value. This difference in the normal state behavior of the very similar Lu- and Y-based borocarbides seems to be connected with the difference in the topology of the Fermi surface of these compounds.
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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 the normal state for T < 40K, accompanied by a large magnetoresistance reaching +90% for mu_0H=16T at T=20K. The scaling relation rho_{xy} ~ rho_{xx}^beta (rho_{xx} is the longitudinal resistivity) was found in the mixed state, the value of beta being dependent on the degree of disorder.
The electronic structure, optical and x-ray absorption spectra, angle dependence of the cyclotron masses and extremal cross sections of the Fermi surface, phonon spectra, electron-phonon Eliashberg and transport spectral functions, temperature dependence of electrical resistivity of the MB2 (M=Ti and Zr) diborides were investigated from first principles using the full potential linear muffin-tin orbital method. The calculations of the dynamic matrix were carried out within the framework of the linear response theory. A good agreement with experimental data of optical and x-ray absorption spectra, phonon spectra, electron-phonon spectral functions, electrical resistivity, cyclotron masses and extremal cross sections of the Fermi surface was achieved.
The longitudinal electrical resistivity and the transverse Hall resistivity of CeFeAsO are simultaneously measured up to a magnetic field of 45T using the facilities of pulsed magnetic field at Los Alamos. Distinct behaviour is observed in both the magnetoresistance Rxx({mu}0H) and the Hall resistance Rxy({mu}0H) while crossing the structural phase transition at Ts approx 150K. At temperatures above Ts, little magnetoresistance is observed and the Hall resistivity follows linear field dependence. Upon cooling down the system below Ts, large magnetoresistance develops and the Hall resistivity deviates from the linear field dependence. Furthermore, we found that the transition at Ts is extremely robust against the external magnetic field. We argue that the magnetic state in CeFeAsO is unlikely a conventional type of spin-density-wave (SDW).
We propose a superlattice model to describe superconductivity in layered materials, such as the borocarbide families with the chemical formulae $RT_2$B$_2$C and $RT$BC, with $R$ being (essentially) a rare earth, and $T$ a transition metal. We assume a single band in which electrons feel a local attractive interaction (negative Hubbard-$U$) on sites representing the $T$B layers, while U=0 on sites representing the $R$C layers; the multi-band structure is taken into account minimally through a band offset $epsilon$. The one-dimensional model is studied numerically through the calculation of the charge gap, the Drude weight, and of the pairing correlation function. A comparison with the available information on the nature of the electronic ground state (metallic or superconducting) indicates that the model provides a systematic parametrization of the whole borocarbide family.
The discovery of iron-based superconductors caused great excitement, as they were the second high-$T_c$ materials after cuprates. Because of a peculiar topological feature of the electronic band structure, investigators quickly realized that the antiferromagnetic parent phase harbors Dirac fermions. Here we show that the parent phase also exhibits the quantum Hall effect. We determined the longitudinal and Hall conductivities in CaFeAsF up to a magnetic field of 45 T and found that both approach zero above ~40 T. CaFeAsF has Dirac electrons and Schrodinger holes, and our analysis indicates that the Landau-level filling factor $ u$ = 2 for both at these high field strengths. We therefore argue that the $ u$ = 0 quantum Hall state emerges under these conditions. Our finding of quantum Hall physics at play in a topologically nontrivial parent phase adds a new dimension to research on iron-based superconductors and also provides a new material variety for the study of the $ u$ = 0 quantum Hall state.
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