Vanishing Hall constant in the stripe phase of cuprates

Abstract

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...

Hall coefficient ofLa1.88−yYySrSuzuki1, Goto2, Chiba3 et al. 2002Phys. Rev. B8190View full textAdd to dashboardCite

“…Similar temperature and magnetic field dependence of R H is reported in La 2−x Ba x CuO 4 (x = 0.11) single crystal which undergoes the structural phase transition to the TLT phase 24 . Our measurement results are consistent with the new theoretical calculation by Prelovšek et al 25 . They reported the numerical calculation within the t-J model, and conclude that R H <0 for x <1/8 and R H ∼0 for x =1/8 at T=0 in the stripe phase.…”

How to detect fluctuating stripes in the high-temperature superconductors

“…For x ≤ 1 8 , they found that, within the stripe-ordered phase, the transverse conductivity tends to zero at low temperature while the longitudinal conductivity remains finite. (This effect has been explained in terms of the electron-hole symmetry of a 1 4 -filled charge stripe Prelovšek et al, 2001).) (Ando et al, 1999) have observed a remarkable anisotropy of the resistivity tensor induced by an in-plane magnetic field in non-superconducting YBa 2 Cu 3 O 6+y with y = 0.32 and y = 0.3.…”

Hall coefficient in the ground state of stripe-ordered La2−xBaxCuOAdachi1, Kitajima2, Koike3 2011Phys. Rev. B10230View full textAdd to dashboardCite

“…This has been explained as owing to the disappearance of the Hall voltage in the one-dimensional (1D) charge stripe-ordered state [7] stabilized through the structural phase transition [6] or owing to the cancellation of the Hall voltage by equal numbers of holes and electrons in the charge domain in the stripe-ordered state, [8] although it is still controversial. A gradual decrease in R H in the normal state with decreasing temperature at low temperatures has been observed in YBa 2 Cu 3 O 7−δ (YBCO) with δ = 0.15 − 0.40 (Ref.…”

“…A possible origin of the decrease in R H together with the formation of the charge stripe order has been proposed by Noda et al [6] to be the disappearance of the Hall voltage owing to the formation of a 1D charge domain in the stripe-ordered state. From direct numerical calculations including a stripe potential within the t-J model, on the other hand, Prelovšek et al [8] have suggested that equal numbers of holes and electrons owing to the half occupancy of holes in the charge domain leads to the disappearance of the Hall voltage. For x = 0.10 and 0.11, where the half occupancy in the 1D charge domain is guessed to be maintained, [14] however, R H exhibits negative finite values at low temperatures, as shown in Fig.…”