Stripe structures in the t–t′-J model

Scalapino, D. J.; White, Steven R.

doi:10.1016/j.physc.2012.04.004

Cited by 35 publications

(30 citation statements)

References 38 publications

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“…This effect has been efficiently captured by density matrix renormalization group (DMRG) calculations of the t-J model on finite systems [52][53][54]. These calculations yield a charge density of ∼0.5 hole/site, consistent with experiment.…”

Section: Pseudogapmentioning

confidence: 62%

Exploring intertwined orders in cuprate superconductors

Tranquada

2015

Physica B: Condensed Matter

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The concept of intertwined orders has been introduced to describe the cooperative relationship between antiferromagnetic spin correlations and electron (or hole) pair correlations that develop in copper-oxide superconductors. This contrasts with systems in which, for example, charge-density-wave (CDW) order competes for Fermi surface area with superconductivity. La$_{2-x}$Ba$_x$CuO$_4$ with $x=0.125$ provides an example in which the ordering of spin stripes coincides with the onset of two-dimensional superconducting correlations. The apparent frustration of the interlayer Josephson coupling has motivated the concept of the pair-density-wave superconductor, a state that theoretical calculations show to be energetically competitive with the uniform $d$-wave superconductor. Even at $x=0.095$, where there is robust superconductivity below 32~K in zero field, the coexistence of strong, low-energy, incommensurate spin excitations implies a spatially modulated and intertwined pair wave function. Recent observations of CDW order in YBa$_2$Cu$_3$O$_{6+x}$ and other cuprate families have raised interesting questions regarding the general role of charge modulations and the relation to superconductivity. While there are differences in the doping dependence of the modulation wave vectors in YBa$_2$Cu$_3$O$_{6+x}$ and La$_{2-x}$Ba$_x$CuO$_4$, the maximum ordering strength is peaked at the hole concentration of 1/8 in both cases. There are also possible connections with the quantum oscillations that have been detected about the same hole concentration but at high magnetic fields. Resolving these relationships remains a research challenge.Comment: 7 pages, for the proceedings of ECRYS-201

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Section: Pseudogapmentioning

confidence: 62%

Exploring intertwined orders in cuprate superconductors

Tranquada

2015

Physica B: Condensed Matter

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“…In hole doping, there is a ferromagnetic spin arrangement across the charge stripes, resulting in antiphase spin structures [13,14]. Figure 2 shows N (q, ω) along the (0, 0)-(π, 0) direction for both hole and electron dopings.…”

Section: Charge Distributionmentioning

confidence: 99%

“…Therefore, the two separated branches obtained with our dynamical DMRG calculations indicate the presence of ferromagnetic effective interaction along the perpendicular direction of the charge stripes. The presence of effective ferromagnetic interaction is evidenced by ferromagnetically aligned spins in the hole-rich region [13,14].…”

Section: Heisenberg Model [Purple Lines In Figs 3(a) and 3(b)]mentioning

confidence: 99%

Dynamical density matrix renormalization group study of spin and charge excitations in the four-leg t−t′−J ladder

2018

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The ground state of the t-t ′ -J ladder with four legs favors a striped charge distribution for the parameters corresponding to hole-doped cuprate superconductors. We investigate the dynamical spin and charge structure factors of the model by using the dynamical density matrix renormalization group (DMRG) and clarify the influence of the stripe on the structure factors. The dynamical charge structure factor along the momentum direction from q = (0, 0) to (π, 0) clearly shows low-energy excitations corresponding to the stripe order in hole doping. On the other hand, the stripe order weakens in electron doping, resulting in fewer low-energy excitations in the charge channel. In the spin channel, we find incommensurate spin excitations near q = (π, π) forming an hourglass behavior in hole doping, while in electron doping we find clearly spin-wave-like dispersions starting from q = (π, π). Along the (0, 0)-(π, 0) direction, the spin excitations are strongly influenced by the stripes in hole doping, resulting in two branches that form a discontinuous behavior in the dispersion. In contrast, the electron-doped systems show a downward shift in energy toward (π, 0). These behaviors along the (0, 0)-(π, 0) direction are qualitatively similar to momentum-dependent spin excitations recently observed by resonant inelastic x-ray scattering experiments in hole-and electron-doped cuprate superconductors.

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“…While it is to be expected on symmetry grounds that a nematic order [25] will be more robust and may coexist with disordered stripes [26], microscopic studies so far have focused on either finite Q ordering of spin and charge stripe phenomena [27][28][29][30][31][32] or = Q 0 IUC nematic phenomena [14,17,[33][34][35][36][37][38]. Moreover, since simple Hartree-Fock mean-field theories incorrectly predict insulating period-8 stripes [27][28][29][30], the present theoretical understanding of the experimentally observed metallic period-4 charge stripes at doping = x 1 8 [2] is dependent upon elaborate variational numerical studies [31,[39][40][41][42][43] or the scenario of Coulomb-frustrated phase separation [44].…”

Section: Introductionmentioning

confidence: 99%

Nematic and spin-charge orders driven by hole-doping a charge-transfer insulator

Fischer

Paramekanti

et al. 2014

New J. Phys.

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Recent experimental discoveries have brought a diverse set of broken symmetry states to the center stage of research on cuprate superconductors. Here, we focus on a thematic understanding of the diverse phenomenology by exploring a strong-coupling mechanism of symmetry breaking driven by frustration of antiferromagnetic (AFM) order. We achieve this through a variational study of a three-band model of the CuO 2 plane with Kondo type exchange couplings between doped oxygen holes and classical copper spins. Two main findings from this strong-coupling multi-band perspective are (1) that the symmetry hierarchy of spin stripe, charge stripe, intra-unit-cell nematic order and isotropic phases are all accessible microscopically within the model, (2) many symmetrybreaking patterns compete with energy differences within a few meV per Cu atom to produce a rich phase diagram. These results indicate that the diverse phenomenology of broken-symmetry states in hole-doped AFM charge-transfer insulators may indeed arise from hole-doped frustration of antiferromagnetism.

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Stripe structures in the t–t′-J model

Abstract: Here, based upon density matrix renormalization group calculations, we discuss the structure of the stripes found in the doped t-t ′ -J model and the physics that underlies their formation.

Cited by 35 publications

References 38 publications

Exploring intertwined orders in cuprate superconductors

Exploring intertwined orders in cuprate superconductors

Dynamical density matrix renormalization group study of spin and charge excitations in the four-leg t−t′−J ladder

Nematic and spin-charge orders driven by hole-doping a charge-transfer insulator

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