Lattice anisotropy as the microscopic origin of static stripes in cuprates

Normand, B.; Kampf, Arno P.

doi:10.1103/physrevb.64.024521

Cited by 41 publications

(36 citation statements)

References 69 publications

(117 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(A similar conclusion for fully doped stripes has been reached in Ref. [72].) Finally, we study the effect of the nematicity on the pairing amplitude, shown in Fig.…”

Section: H Y S I C a L R E V I E W L E T T E R Ssupporting

confidence: 81%

See 1 more Smart Citation

Competing States in thet-JModel: Uniformd-Wave State versus Stripe State

2014

View full text Add to dashboard Cite

General rightsIt is not permitted to download or to forward/distribute the text or part of it without the consent of the author(s) and/or copyright holder(s), other than for strictly personal, individual use, unless the work is under an open content license (like Creative Commons). Disclaimer/Complaints regulationsIf you believe that digital publication of certain material infringes any of your rights or (privacy) interests, please let the Library know, stating your reasons. In case of a legitimate complaint, the Library will make the material inaccessible and/or remove it from the website. Please Ask the Library: http://uba.uva.nl/en/contact, or a letter to: Library of the University of Amsterdam, Secretariat, Singel 425, 1012 WP Amsterdam, The Netherlands. You will be contacted as soon as possible. Variational studies of the t-J model on the square lattice based on infinite projected-entangled pair states confirm an extremely close competition between a uniform d-wave superconducting state and different stripe states. The site-centered stripe with an in-phase d-wave order has an equal or only slightly lower energy than the stripe with antiphase d-wave order. The optimal stripe filling is not constant but increases with J=t. A nematic anisotropy reduces the pairing amplitude and the energies of stripe phases are lowered relative to the uniform state with increasing nematicity.

show abstract

“…(A similar conclusion for fully doped stripes has been reached in Ref. [72].) Finally, we study the effect of the nematicity on the pairing amplitude, shown in Fig.…”

Section: H Y S I C a L R E V I E W L E T T E R Ssupporting

confidence: 81%

“…[73][74][75] (and in Ref. [72] for nonsuperconducting stripes). However, we find that at large doping (δ ≳ 0.14) it is the opposite orientation which is preferred, i.e., horizontal stripes.…”

Section: H Y S I C a L R E V I E W L E T T E R Smentioning

confidence: 91%

Competing States in thet-JModel: Uniformd-Wave State versus Stripe State

2014

View full text Add to dashboard Cite

show abstract

“…In brief, the physics that determines the ultimate patterns of competing orders is subtle. For instance, there are striped structures interpreted in terms of actual or incipient orders [19], or attributed to be induced by lattice distortion or impurity-pinning effect [20,21]. To date, the issue of the nature of spatial inhomogeneous phases in cuprates is still controversial.…”

Section: Introductionmentioning

confidence: 99%

Patterns induced by magnetic impurities in d-wave superconductors

2010

View full text Add to dashboard Cite

We study striped morphologies induced by magnetic impurities in d-wave superconductors (DSCs) near optimal doping by self-consistently solving the Bogoliubov-de Gennes equations based on the t − t ′ − U − V model. For the single impurity case, it is found that the stable ground state is a modulated checkerboard pattern. For the two-impurity case, the stripe-like structures in order parameters are induced due to the impurity-pinning effect. The modulations of DSC and charge orders share the same period of four lattice constants (4a), which is half the period of modulations in the coexisting spin order. Interestingly, when three or more impurities are inserted, the impurities could induce more complex striped morphologies due to quantum interference. Further experiments of magnetic impurity substitution in DSCs are expected to check these results.

show abstract

“…We have recently subscribed to the second viewpoint, motivated by the direct experimental connection of lattice structure with stripe formation and suppression of superconductivity. 1 However, the interpretation of striped phases as a consequence of lattice-induced hopping and superexchange anisotropy in the CuO 2 plane leaves some open questions. On the qualitative level, these include the absence of static stripes in orthorhombic YBa 2 Cu 3 O 7−δ (YBCO) systems, while quantitatively they include the value of the relative anisotropies required to stabilize a stripe phase.…”

mentioning

confidence: 99%

Suppression of static stripe formation by next-neighbor hopping

Normand

Kampf

2001

Phys. Rev. B

Self Cite

View full text Add to dashboard Cite

We show from real-space Hartree-Fock calculations within the extended Hubbard model that nextnearest neighbor (t ′ ) hopping processes act to suppress the formation of static charge stripes. This result is confirmed by investigating the evolution of charge-inhomogeneous corral and stripe phases with increasing t ′ of both signs. We propose that large t ′ values in YBCO prevent static stripe formation, while anomalously small t ′ in LSCO provides an additional reason for the appearance of static stripes only in these systems.The presence of charge-inhomogeneous and striped phases as candidate ground states for the cuprates continues to be one of the most contentious issues in high-temperature superconductivity (for a review and references see Ref. 1). Static stripes have been observed experimentally, but to date only in rareearth-doped La 2−x Sr x CuO 4 (LSCO) systems with the low-temperature tetragonal (LTT) structural distortion. Theoretical explanations for stripes fall into three categories: i) they are a true ground state intrinsic to shortranged models of the CuO 2 planes, ii) they are a competing excited state stabilized by anisotropy, or iii) they emerge when long-ranged interactions are invoked (generally to frustrate phase separation). We have recently subscribed to the second viewpoint, motivated by the direct experimental connection of lattice structure with stripe formation and suppression of superconductivity. 1However, the interpretation of striped phases as a consequence of lattice-induced hopping and superexchange anisotropy in the CuO 2 plane leaves some open questions. On the qualitative level, these include the absence of static stripes in orthorhombic YBa 2 Cu 3 O 7−δ (YBCO) systems, while quantitatively they include the value of the relative anisotropies required to stabilize a stripe phase. A key issue long recognized as a source of major differences between cuprate compounds is the shape of the Fermi surface.2 This has been measured by angleresolved photoemission (ARPES) for Bi 2 Sr 2 CaCu 2 O 8+δ (BSCCO), 3 LSCO, 4 and Nd 2−x Ce x CuO 4 (NCCO) 5 systems, and is most easily modeled by extended tightbinding band structures.2 The primary influence of an extended band structure may be encapsulated in the single parameter t ′ governing the next-nearest-neighbor hopping on the square lattice. An investigation of t ′ effects is required in context of stripes, and is provided here within the real-space Hartree-Fock (RSHF) technique. 1The effects of next-neighbor hopping on stripes have been considered in the extended t-J model by exact diagonalization (ED) 6 and by density-matrix renormalization group (DMRG) calculations.7 Both sets of authors reported a suppression of horizontal (or vertical) stripe order with increasing |t ′ | of both signs, but detailed features of the results were not fully consistent. which confirmed the tendency towards stripe suppression. The influence of t ′ on stripes has been considered in the context of Fermi-surface geometry, 9 and in terms of its effects on stripe fi...

show abstract

Lattice anisotropy as the microscopic origin of static stripes in cuprates

Cited by 41 publications

References 69 publications

Competing States in thet-JModel: Uniformd-Wave State versus Stripe State

Competing States in thet-JModel: Uniformd-Wave State versus Stripe State

Patterns induced by magnetic impurities in d-wave superconductors

Suppression of static stripe formation by next-neighbor hopping

Contact Info

Product

Resources

About