1D quantum transport in the even-chain spin-ladder compound Sr _2.5 Ca _11.5 Cu ₂₄ O ₄₁ and YBa ₂ Cu ₄ O ₈

Abstract

The temperature dependence of the resistivity ρ(T) of the novel Sr 2.5 Ca 11.5 Cu 24 O 41 ladder compound under hydrostatic pressure of up to 8 GPa has been explained by assuming that the relevant length scale for electrical transport is given by the magnetic correlation length related to the opening of a spin-gap in a 1D even-chain spin-ladder (1D-SL). The pressure dependence of the gap was extracted by applying this model to ρ(T) data obtained at different pressures. The ρ(T) dependence of the underdoped cuprate YBa 2 Cu 4 O 8 demonstrates a remarkable scaling with the ρ(T) of the 1D-SL compound Sr 2.5 Ca 11.5 Cu 24 O 41 . This scaling implies that underdoped cuprates at T c < T < T * are in the 1D regime and their pseudo-gap below T * is the spin-gap in the even-chain 1D-SL formed at T < T * in these materials. The temperature dependent resistivity ρ(T) of high-T c cuprates has recently been interpreted in the framework of the two-dimensional (2D) Heisenberg model [1]. The approach proposed in Ref. 1 is based on the three basic assumptions: (i) the dominant scattering mechanism in high-T c 's in the whole temperature range is of magnetic origin; (ii) the specific temperature dependence of the resistivity ρ(T) can be described by the inverse quantum conductivity σ -1 with the inelastic length L φ being fully controlled, via a strong interaction of holes with Cu 2+ spins, by the magnetic correlation length ξ m , and, finally, (iii) the proper 2D expressions should be used for calculating the quantum conductivity with L φ~ξm .With a few straightforward modifications, these ideas can also be applied to the 1D quantum spin-ladder (SL) systems [2]. In this case the quantum resistance of a single 1D wire is a linear function of the inelastic length L φ [3] and ρ(T) can be represented asHere b is the diameter of a single 1D wire and L φ~ξm1D is given by the spin-correlation length ξ m1D in the 1D regime. For a quantum 1D transport, the concentration of the

Evidence for a quasi-1D topological-excitation liquid in Bi 2 Sr 2 CaCu 2 O 8 + x from tunneling spectroscopy

“…In general, quasi-1D topological excitations reside on quasi-1D "objects". Recently, quasi-1D charge stripes separated by 2D AF domains have been discovered in some cuprates [25,26,27,28]. The presence of soliton excitations on stripes implies that the stripes are insulating, as predicted [29], and not conducting as widely believed.…”

Electronic Raman scattering through a stripe ordering transition in La2−xSrxNiO4

“…Such metal-like behavior of the inverse Raman slope demonstrates the existence of finite conductivity within the charge stripes. A crossover from two-dimensional to one-dimensional transport behavior due to the formation of stripes was proposed by Moshalkov et al [32]. Direct evidence for one-dimensional transport in the stripe-ordered phase was demonstrated in Hall coefficient measurements on neodymium-doped lanthanum strontium cuprate [33].…”

Charge-density-wave ordering in the stripe phase of underdoped cuprates

“…The comparison of temperature dependencies of the in-plane resistivity in a YBa 2 Cu 3 O 8 single crystal and resistivity along the spin chains in a even-chain spin-ladder Sr 2.5 Ca 11.5 Cu 34 O 41 single crystal, both scaled to the temperature at which the pseudogap [1] appears, shows that the temperature depndencies of the resistivities are identical [10].…”

“…There is clear evidence for charge stripe [2] formation in SC La 1.6-x Nd 0.4 Sr x CuO 4 (Nd-doped LSCO) [3][4][5][6] and YBCO [7][8][9][10]. There are also strong indications that stripes exist in SC Bi2212 [11,12].…”

“…Thus, if measurements in cuprates show the presence of quasi-1D charge stripes [3][4][5][6][7][8][9][10][11][12][13], it is absolutely logic to compare transport properties of cuprates with similar properties of quasi-1D metals. Most of the non-CDW quasi-1D metals are organic.…”