Structural domain and finite-size effects of the antiferromagnetic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mtext>S</mml:mtext><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:math>honeycomb lattice in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mtext>InCu</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>/</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:

Möller, Angela; Löw, U.; Taetz, Timo; Kriener, Markus; André, G.; Damay, F.; Heyer, Oliver; Braden, M.; Mydosh, J. A.

doi:10.1103/physrevb.78.024420

Cited by 69 publications

(78 citation statements)

References 29 publications

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“…Here a singly occupied Cu orbitals forms a spin S = 1/2 honeycomb lattice. Experimentally, the ground state has been identified to likely be a Néel antiferromagnet; no three-dimensional ordering has been found, but strong two-dimensional magnetic correlations are present even down to low temperatures [210,211]. Theory results for the strong-coupling limit t-(t )-J model have proposed that a chiral d-wave state will likely emerge upon doping this magnetic ground state.…”

Section: Mosmentioning

confidence: 99%

Chirald-wave superconductivity in doped graphene

Black‐Schaffer

Honerkamp

2014

J. Phys.: Condens. Matter

172

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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Section: Mosmentioning

confidence: 99%

Chirald-wave superconductivity in doped graphene

Black‐Schaffer

Honerkamp

2014

J. Phys.: Condens. Matter

172

176

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“…16 A more appropriate system could be InCu 2/3 V 1/3 O 3 but it shows intrinsic disorder due to the intermixing of spin- 1 2 Cu +2 and nonmagnetic V +5 cations. Although the Cu atoms are believed to form small magnetic clusters on a honeycomb lattice, 17,18 the influence of the non-magnetic part of this lattice is unclear and impedes the decisive comparison between experimental results and theoretical predictions. Thus, structurally ordered and well-characterized spin- In low-dimensional magnets, the spatial arrangement of magnetic atoms is often deceptive, since the magnetic couplings do not show a clear correlation with distances between these atoms.…”

Section: Introductionmentioning

confidence: 99%

β-Cu2V2O7: A spin-1

2010

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We report on band structure calculations and a microscopic model of the low-dimensional magnet β-Cu2V2O7. Magnetic properties of this compound can be described by a spin-1 2 anisotropic honeycomb lattice model with the averaged couplingJ1 = 60 − 66 K. The low symmetry of the crystal structure leads to two inequivalent couplings J1 and J ′ 1 , but this weak spatial anisotropy does not affect the essential physics of the honeycomb spin lattice. The structural realization of the honeycomb lattice is highly non-trivial: the leading interactions J1 and J ′ 1 run via double bridges of VO4 tetrahedra between spatially separated Cu atoms, while the interactions between structural nearest neighbors are negligible. The non-negligible inter-plane coupling J ⊥ ≃ 15 K gives rise to the long-range magnetic ordering at TN ≃ 26 K. Our model simulations improve the fit of the magnetic susceptibility data, compared to the previously assumed spin-chain models. Additionally, the simulated ordering temperature of 27 K is in remarkable agreement with the experiment. Our study evaluates β-Cu2V2O7 as the best available experimental realization of the spin-1 2 Heisenberg model on the honeycomb lattice. We also provide an instructive comparison of different band structure codes and computational approaches to the evaluation of exchange couplings in magnetic insulators.

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“…An elaborate study of the two-dimensional honeycomb lattice in the presence of site-percolation can be found in [7]. Also, only recently InCu 2/3 V 1/3 O 3 has been discussed as a possible candidate for a spin-1 2 substance [8,9] on a honeycomb lattice. The advent of this and possible other upcoming new substances as well as the availability of high precision Monte-Carlo methods [10,11] prompted us to make a renewed study of spin systems on the honeycomb lattice.…”

Section: Introductionmentioning

confidence: 99%

Properties of the two-dimensional spin-1/2 Heisenberg model on a honeycomb lattice with interlayer coupling

Löw¹

2009

Condens. Matter Phys.

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The magnetic properties of the two-dimensional S = 1 2 (quantum) antiferromagnetic Heisenberg model on a honeycomb lattice with and without interlayer coupling are studied by means of a continuous Euclidean time Quantum-Monte-Carlo algorithm. The internal energy, the magnetic susceptibility and the staggered magnetization are determined in the full temperature range. For the two-dimensional system the groundstate energy/bond is found to be E hc 0 = −0.36303 (13), and the zero temperature staggered magnetization m st = 0.2681(8). For coupled planes of honeycomb systems a phase transition from an ordered phase to a disordered phase is found at T /J = 0.695(10).

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Structural domain and finite-size effects of the antiferromagneticS=1/2honeycomb lattice inInCu2/3

Cited by 69 publications

References 29 publications

Chirald-wave superconductivity in doped graphene

Chirald-wave superconductivity in doped graphene

β-Cu2V2O7: A spin-1

Properties of the two-dimensional spin-1/2 Heisenberg model on a honeycomb lattice with interlayer coupling

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