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Register a new userA novel non-Fermi-liquid state in the iron-pnictide FeCrAs
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We report transport and thermodynamic properties of stoichiometric single crystals of the hexagonal iron-pnictide FeCrAs. The in-plane resistivity shows an unusual non-metallic dependence on temperature T, rising continuously with decreasing T from ~ 800 K to below 100 mK. The c-axis resistivity is similar, except for a sharp drop upon entry into an antiferromagnetic state at T_N 125 K. Below 10 K the resistivity follows a non-Fermi-liquid power law, rho(T) = rho_0 - AT^x with x<1, while the specific heat shows Fermi liquid behaviour with a large Sommerfeld coefficient, gamma ~ 30 mJ/mol K^2. The high temperature properties are reminiscent of those of the parent compounds of the new layered iron-pnictide superconductors, however the T -> 0 properties suggest a new class of non-Fermi liquid.
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There are two prerequisites for understanding high-temperature (high-T$_c$) superconductivity: identifying the pairing interaction and a correct description of the normal state from which superconductivity emerges. The nature of the normal state of iron-pnictide superconductors, and the role played by correlations arising from partially screened interactions, are still under debate. Here we show that the normal state of carefully annealed electron-doped BaFe$_{2-x}$Co$_{x}$As$_2$ at low temperatures has all the hallmark properties of a local Fermi liquid, with a more incoherent state emerging at elevated temperatures, an identification made possible using bulk-sensitive optical spectroscopy with high frequency and temperature resolution. The frequency dependent scattering rate extracted from the optical conductivity deviates from the expected scaling $M_{2}(omega,T)propto(hbaromega)^{2}+(ppi k_{B}T)^{2}$ with $papprox$ 1.47 rather than $p$ = 2, indicative of the presence of residual elastic resonant scattering. Excellent agreement between the experimental results and theoretical modeling allows us to extract the characteristic Fermi liquid scale $T_{0}approx$ 1700 K. Our results show that the electron-doped iron-pnictides should be regarded as weakly correlated Fermi liquids with a weak mass enhancement resulting from residual electron-electron scattering from thermally excited quasi-particles.
The newly discovered CaFe$_4$As$_3$ system displays low-temperature Fermi liquid behavior, with enhanced electron-electron correlations. At high temperatures, the magnetic susceptibility shows Curie-Weiss behavior, with a large temperature-independent contribution. Antiferromagnetic ordering is observed below T$_N$ = (88.0 $pm$ 1.0) K, possibly via a spin density wave (SDW) transition. A remarkably sharp drop in resistivity occurs below T$_2$ = (26.4 $pm$ 1.0) K, correlated with a similarly abrupt increase in the susceptibility, but no visible feature in the specific heat. The electronic specific heat coefficient $gamma$ at low temperatures is close to 0.02 J mol$^{-1}_{Fe}$ K$^{-2}$, but a higher value for $gamma$ ($sim$0.08 J mol$^{-1}_{Fe}$ K$^{-2}$ can be inferred from a linear C$ / $T textit{vs.} T$^2$ just above T$_2$. The Kadowaki-Woods ratio A$/gamma^2$ = 55$*10^{-5}$ $mu Omega$cm mol$^2$ K$^2 $mJ$^{-2}$ is nearly two orders of magnitude larger than that of heavy fermions.
An unusual, non-metallic resistivity of the 111 iron-pnictide compound FeCrAs is shown to be relatively unchanged under pressures of up to 17 GPa. Combined with our previous finding that this non-metallic behaviour persists from at least 80 mK to 800 K, this shows that the non-metallic phase is exceptionally robust. Antiferromagnetic order, with a Neel temperature T_N ~ 125 K at ambient pressure, is suppressed at a rate of 7.1 +/- 0.1 K/GPa, falling to below 50 K at 10 GPa. We conclude that formation of a spin-density wave gap at T_N does not play an important role in the non-metallic resistivity of FeCrAs at low temperatures.
Landaus Fermi liquid theory is a cornerstone of quantum many body physics. At its heart is the adiabatic connection between the elementary excitations of an interacting fermion system and those of the same system with the interactions turned off. Recently, this tenet has been challenged with the finding of a non-Landau Fermi liquid, that is a strongly interacting Fermi liquid that cannot be adiabatically connected to a non-interacting system. In particular, a spin-1 two-channel Kondo impurity with single-ion magnetic anisotropy $D$ has a topological quantum phase transition at a critical value $D_c$: for $D < D_c$ the system behaves as an ordinary Fermi liquid with a large Fermi level spectral weight, while above $D_c$ the system is a non-Landau Fermi liquid with a pseudogap at the Fermi level, topologically characterized by a non-trivial Friedel sum rule with non-zero Luttinger integrals. Here, we develop a non-trivial extension of this new Fermi liquid theory to general multi-orbital problems with finite magnetic field and we reinterpret in a unified and consistent fashion several experimental studies of iron phthalocyanine molecules on Au(111) metal substrate that were previously described in disconnected and conflicting ways. The differential conductance measured using a scanning tunneling microscope (STM) shows a zero-bias dip that widens when the molecule is lifted from the surface and is transformed continuously into a peak under an applied magnetic field. Numerically solving a spin-1 impurity model with single-ion anisotropy for realistic parameter values, we robustly reproduce all these central features, allowing us to conclude that iron phthalocyanine molecules on Au(111) constitute the first confirmed experimental realization of a non-Landau Fermi liquid.
We propose in this paper an effective low-energy theory for interacting fermion systems which supports exclusion statistics. The theory can be viewed as an extension of Landau Fermi liquid theory where besides quasi-particle energy $xi_{mathbf{k}}$, the kinetic momentum $mathbf{k}$ of quasi-particles depends also on quasi-particle occupation numbers as a result of momentum ($k$)-dependent current-current interaction. The dependence of kinetic momentum on quasi-particles excitations leads to change in density of states and exclusion statistics. The properties of this new Fermi liquid state is studied where we show that the state (which we call $U(1)$-Fermi liquid state) has Fermi-liquid like properties except that the quasi-particles are {em not} adiabatically connected to bare fermions in the system and the state may not satisfy Luttinger theorem.
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