Genesis of charge orders in high temperature superconductors

Tu, Wei-Lin; Lee, Ting-Kuo

doi:10.1038/srep18675

Cited by 31 publications

(69 citation statements)

References 47 publications

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“…An interesting possibility of localization may be due to the checkerboard pattern observed in [1]. In the strong coupling limit of the HM or the t−J model, it is recently shown [38] that at very low doping, there are states with checkerboard patterns involving SDW. Hence our account of SDW as the source of in-gap states may be a reasonable approximation.…”

Section: Discussionmentioning

confidence: 99%

Spectral evolution with doping of an antiferromagnetic Mott state

Lee

2017

Phys. Rev. B

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Since the discovery of half-filled cuprate to be a Mott insulator, the excitation spectra above the chemical potential for the unoccupied states has attracted many research attentions. There were many theoretical works using different numerical techniques to study this problem, but many have reached different conclusions. One of the reasons is the lack of very detailed high-resolution experimental results for the theories to be compared with. Recently, the scanning tunneling spectroscopy (STS)[1, 2] on lightly doped Mott insulator with an antiferromagnetic (AFM) order found the presence of in-gap states with energy of order half an eV above the chemical potential. The measured spectral properties with doping are not quite consistent with earlier theoretical works. In this paper we perform a diagonalization method on top of the variational Monte Carlo (VMC) calculation to study the evolution of AFM Mott state with doped hole concentration in the Hubbard model (HM). Our results found in-gap states that behave similarly with ones reported by STS. These in-gap states acquire a substantial amount of dynamical spectral weight transferred from the upper Hubbard band. The in-gap states move toward chemical potential with increasing spectral weight as doping increases. Our result also provides information about the energy scale of these in-gap states in relation with the coulomb coupling strength U.

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Section: Discussionmentioning

confidence: 99%

Spectral evolution with doping of an antiferromagnetic Mott state

Lee

2017

Phys. Rev. B

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“…Such fine tuning would be very surprising coming from a simple mix of competing orders. This work therefore provides a good justification, beyond simple taste for unified theories, to search for the common origin of intertwined orders in cuprates 5,32,62,65,[74][75][76] .…”

Section: Discussionmentioning

confidence: 99%

Subgap structures and pseudogap in cuprate superconductors: Role of density waves

et al. 2017

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In scanning tunneling microscopy (STM) conductance curves, the superconducting gap of cuprates is sometimes accompanied by small sub-gap structures at very low energy. This was documented early on near vortex cores and later at zero magnetic field. Using mean-field toy models of coexisting d-wave superconductivity (dSC), d -form factor density wave (dFF-DW), and extended s-wave pair density wave (s PDW), we find agreement with this phenomenon, with s PDW playing a critical role. We explore the high variability of the gap structure with changes in band structure and density wave (DW) wave vector, thus explaining why sub-gap structures may not be a universal feature in cuprates. In the absence of nesting, non-superconducting results never show signs of pseudogap, even for large density waves magnitudes, therefore reinforcing the idea of a distinct origin for the pseudogap, beyond mean-field theory. Therefore, we also briefly consider the effect of DWs on a pre-existing pseudogap.

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“…Details are included in the Appendix. This method has been proven useful in the search for high-T c superconductivity in the t-J model (with no flux) [22,23] and, therefore, we shall also adopt it to investigate the t-J Hamiltonian in the presence of an applied flux. Our RMFT results will always be compared with Lanczos ED of small clusters, which has been carried out for exactly the same values of flux and electron density.…”

Section: Model Hamiltonian Methods and Parameter Setsmentioning

confidence: 99%

“…In fact, numerous different phases have been obtained by investigating Hubbard and t-J type Hamiltonians in attempts to find the proper theoretical description of high-T c cuprates [22][23][24][25][26][27][28][29][30][31][32], revealing low-energy intertwined inhomogeneous states, such as stripes, bidirectional charge-ordered states, checkerboard patterns, and so on. Recently, tensor network studies [33] and density matrix embedding theory [34] provided new evidence that the ground state (GS) of the Hubbard model could indeed be inhomogeneous at finite doping and that its phase diagram shows co-existence of d-wave superconducting (SC) order with other instabilities.…”

Section: Introductionmentioning

confidence: 99%

Competing orders in the Hofstadter t–J model

Schindler

Neupert

et al. 2018

Phys. Rev. B

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The Hofstadter model describes non-interacting fermions on a lattice in the presence of an external magnetic field. Motivated by the plethora of solid-state phases emerging from electron interactions, we consider an interacting version of the Hofstadter model including a Hubbard repulsion U . We investigate this model in the large-U limit corresponding to a t-J Hamiltonian with an external (orbital) magnetic field. By using renormalized mean field theory supplemented by exact diagonalization calculations of small clusters, we find evidence for competing symmetry-breaking phases, exhibiting (possibly co-existing) charge, bond and superconducting orders. Topological properties of the states are also investigated and some of our results are compared to related experiments involving ultra-cold atoms loaded on optical lattices in the presence of a synthetic gauge field.

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Genesis of charge orders in high temperature superconductors

Cited by 31 publications

References 47 publications

Spectral evolution with doping of an antiferromagnetic Mott state

Spectral evolution with doping of an antiferromagnetic Mott state

Subgap structures and pseudogap in cuprate superconductors: Role of density waves

Competing orders in the Hofstadter t–J model

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