Recent developments in the SO(5) theory of high Tc superconductivity

Zhang, Shou‐Cheng

doi:10.1016/s0022-3697(98)00096-1

Cited by 11 publications

(7 citation statements)

References 14 publications

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“…A similar conclusion was reached in renormalized mean field theory calculations [17]. Nevertheless, the difference in energy between the in phase and antiphase d-wave pairfield states is small and there have been various suggestions [18], approximations [19], and model calculations [20,21] which find that the antiphase pairing state can have the lowest energy.…”

Section: Dmrg Results For the T-j Modelsupporting

confidence: 66%

Stripe structures in the t–t′-J model

Scalapino

White

2012

Physica C: Superconductivity

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Section: Dmrg Results For the T-j Modelsupporting

confidence: 66%

Stripe structures in the t–t′-J model

Scalapino

White

2012

Physica C: Superconductivity

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“…Thus, it is possible to view the PDW state as a "liquid crystalline" analog of the SO(5) scenario. Indeed, the possibility of an SO(5) "spiral" was discussed previously by Zhang [104]. However, it should be noted that in the context of any conventional Landau-Ginzburg treatment of a system of competing orders, a general theorem [105] precludes a sign change of any component of the order parameter, and hence precludes the existence of spirals.…”

Section: Intertwined Orders and Emergent Symmetriesmentioning

confidence: 96%

Striped superconductors: how spin, charge and superconducting orders intertwine in the cuprates

et al. 2009

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“…It is possible, in highly correlated systems, especially when tunneling through a magnetic impurity [20], to encounter situations in which the effective Josephson coupling is negative, therefore producing a π-junction. Zhang [21] has observed that, regardless the microscopic origin of the anti-phase character of the magnetic ordering in the striped state, if there is an approximate SO(5) symmetry relating the antiferromagnetism to the superconductivity, one should expect an anti-phase ordering of the superconductivity in a striped state. The example of tunneling through decoupled magnetic impurities [20] is a proof in principle that such behavior can occur.…”

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confidence: 99%

Dynamical Layer Decoupling in a Stripe-Ordered High-TcSuperconductor

et al. 2007

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In the stripe-ordered state of a strongly-correlated two-dimensional electronic system, under a set of special circumstances, the superconducting condensate, like the magnetic order, can occur at a non-zero wave-vector corresponding to a spatial period double that of the charge order. In this case, the Josephson coupling between near neighbor planes, especially in a crystal with the special structure of La2−xBaxCuO4, vanishes identically. We propose that this is the underlying cause of the dynamical decoupling of the layers recently observed in transport measurements at x = 1/8.High-temperature superconductivity (HTSC) was first discovered [1] in La 2−x Ba x CuO 4 . A sharp anomaly [2] in T c (x) occurs at x = 1/8 which is now known to be indicative [3,4] of the existence of stripe order and of its strong interplay with HTSC. Recently, a remarkable dynamical layer decoupling has been observed [5] associated with the superconducting (SC) fluctuations below the spinstripe ordering transition temperature, T spin = 42K.While T c (x), as determined by the onset of a bulk Meissner effect, reaches values up to T c (x = 0.1) = 33 K for x somewhat smaller and larger than x = 1/8, T c (x) drops to the range 2-4 K for x = 1/8. However, in other respects, superconductivity appears to be optimized for x = 1/8. The d-wave gap determined by ARPES has recently been shown [6] to be largest for x = 1/8. Moreover, strong SC fluctuations produce an order of magnitude drop [5] in the in-plane resistivity, ρ ab , at T ≈ T spin , which is considerably higher than the highest bulk SC.The fluctuation conductivity reveals heretofore unprecedented characteristics (as described schematically in Fig. 1): 1) ρ ab drops rapidly with decreasing temperature from T spin down to T KT ≈ 16K, at which point it becomes unmeasurably small. In the range T spin > T > T KT , the temperature dependence of ρ ab is qualitatively of the Kosterlitz-Thouless form, as if the SC fluctuations were strictly confined to a single copperoxide plane. 2) By contrast, the resistivity perpendicular to the copper-oxide planes, ρ c , increases with decreasing temperatures from T ⋆ > ∼ 300 K, down to T ⋆⋆ ≈ 35 K. For T < T ⋆⋆ , ρ c decreases with decreasing temperature, but it only becomes vanishingly small below T 3D ≈ 10 K. Within experimental error, for T KT > T > T 3D , the resistivity ratio, ρ c /ρ ab , is infinite! 3) The full set of usual characteristics of the SC state, the Meissner effect and perfect conductivity, ρ ab = ρ c = 0, is only observed below T c = 4K. Thus, for T 3D > T > T c , a peculiar form of fragile 3D superconductivity exists.The above listed results are new, so an extrinsic explanation of some aspects of the data is possible. Here we assume that the measured properties do reflect the bulk behavior of La 2−x Ba x CuO 4 . We show that there is a straightforward way in which stripe or-

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Recent developments in the SO(5) theory of high Tc superconductivity

Cited by 11 publications

References 14 publications

Stripe structures in the t–t′-J model

Stripe structures in the t–t′-J model

Striped superconductors: how spin, charge and superconducting orders intertwine in the cuprates

Dynamical Layer Decoupling in a Stripe-Ordered High-TcSuperconductor

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