Competition between<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>d</mml:mi></mml:math>-wave and topological<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi></mml:math>-wave superconducting phases in the doped Kitaev-Heisenberg model

Hyart, Timo; Wright, Anthony R.; Khaliullin, Giniyat; Rosenow, Bernd

doi:10.1103/physrevb.85.140510

Cited by 66 publications

(135 citation statements)

References 35 publications

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“…Interesting future directions extending this study could involve a tensor network approach to the doped system, a direction which even at the mean field level has brought to light an interesting variety of superconducting phases arising in the model [43][44][45].…”

Section: Summary and Discussionmentioning

confidence: 99%

Probing the stability of the spin-liquid phases in the Kitaev-Heisenberg model using tensor network algorithms

2014

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Probing the stability of the spin liquid phases in the Kitaev-Heisenberg model using tensor network algorithms Iregui, J.O.; Corboz, P.R.; Troyer, M. 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. We study the extent of the spin liquid phases in the Kitaev-Heisenberg model using infinite projected entangledpair states tensor network ansatz wave functions directly in the thermodynamic limit. To assess the accuracy of the ansatz wave functions, we perform benchmarks against exact results for the Kitaev model and find very good agreement for various observables. In the case of the Kitaev-Heisenberg model, we confirm the existence of six different phases: Néel, stripy, ferromagnetic, zigzag, and two spin liquid phases. We find finite extents for both spin liquid phases and discontinuous phase transitions connecting them to symmetry-broken phases.

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Section: Summary and Discussionmentioning

confidence: 99%

Probing the stability of the spin-liquid phases in the Kitaev-Heisenberg model using tensor network algorithms

2014

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“…For example, the iridates Li 2 IrO 3 and Na 2 IrO 3 , where the Ir atoms form a honeycomb lattice, have been shown to be described by a Kitaev model [212] with an admixture of Heisenberg coupling [213,214,215,216,217]. For dominating Kitaev coupling the ground state is a spin liquid, which has been shown to support a time-reversal invariant p-wave superconducting state at finite doping [218,219,220]. But if the Heisenberg term is allowed to dominate, the spin-singlet chiral d-wave state would instead be expected to appear with doping.…”

Section: (111)mentioning

confidence: 99%

Chirald-wave superconductivity in doped graphene

Black‐Schaffer

Honerkamp

2014

J. Phys.: Condens. Matter

175

176

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Abstract. A highly unconventional superconducting state with a spin-singlet d x 2 −y 2 ± id xy -wave, or chiral d-wave, symmetry has recently been proposed to emerge from electron-electron interactions in doped graphene. Especially graphene doped to the van Hove singularity at 1/4 doping, where the density of states diverges, has been argued to likely be a chiral d-wave superconductor. In this review we summarize the currently mounting theoretical evidence for the existence of a chiral d-wave superconducting state in graphene, obtained with methods ranging from mean-field studies of effective Hamiltonians to angle-resolved renormalization group calculations. We further discuss multiple distinctive properties of the chiral d-wave superconducting state in graphene, as well as its stability in the presence of disorder. We also review means of enhancing the chiral d-wave state using proximity-induced superconductivity. The appearance of chiral d-wave superconductivity is intimately linked to the hexagonal crystal lattice and we also offer a brief overview of other materials which have also been proposed to be chiral d-wave superconductors.

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“…In this paper, we investigate the possibility to utilize inhomogeneous perturbations, like those caused by impurity lattices, for this purpose. We point out that such perturbations are often naturally present in candidate materials for topological superconductors, since these are typically unconventional superconductors obtained by doping Mott insulators [8,[10][11][12][13][14]. Moreover, high quality topological insulators have recently been created by intentionally doping Si into InAs/GaSb heterostructures [15].…”

Section: Introductionmentioning

confidence: 99%

Existence of zero-energy impurity states in different classes of topological insulators and superconductors and their relation to topological phase transitions

Kimme

Hyart

2016

Phys. Rev. B

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Existence of zero-energy impurity states in different classes of topological insulators and superconductors and their relation to topological phase transitions Kimme, Lukas; Hyart, Timo Kimme, L., & Hyart, T. (2016 We consider the effects of impurities on topological insulators and superconductors. We start by identifying the general conditions under which the eigenenergies of an arbitrary Hamiltonian H belonging to one of the Altland-Zirnbauer symmetry classes undergo a robust zero energy crossing as a function of an external parameter which can be, for example, the impurity strength. We define a generalized root of det H and use it to predict or rule out robust zero-energy crossings in all symmetry classes. We complement this result with an analysis based on almost degenerate perturbation theory, which allows a derivation of the asymptotic low-energy behavior of the ensemble averaged density of states ρ ∼ E α for all symmetry classes and makes it transparent that the exponent α does not depend on the choice of the random matrix ensemble. Finally, we show that a lattice of impurities can drive a topologically trivial system into a nontrivial phase, and in particular we demonstrate that impurity bands carrying extremely large Chern numbers can appear in different symmetry classes of two-dimensional topological insulators and superconductors. We use the generalized root of det H (k) to reveal a spiderweblike momentum space structure of the energy gap closings that separate the topologically distinct phases in p x + ip y superconductors in the presence of an impurity lattice.

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Competition betweend-wave and topologicalp-wave superconducting phases in the doped Kitaev-Heisenberg model

Cited by 66 publications

References 35 publications

Probing the stability of the spin-liquid phases in the Kitaev-Heisenberg model using tensor network algorithms

Probing the stability of the spin-liquid phases in the Kitaev-Heisenberg model using tensor network algorithms

Chirald-wave superconductivity in doped graphene

Existence of zero-energy impurity states in different classes of topological insulators and superconductors and their relation to topological phase transitions

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