Gapless spin-liquid phase in the kagome spin-(1)/(2) Heisenberg antiferromagnet

By Y. Iqbal, F. Becca, Sandro Sorella, D. Poilblanc. 2012

198 citations recorded by the source corpus.

We study the energy and the static spin structure factor of the ground state of the spin-1/2 quantum Heisenberg antiferromagnetic model on the kagome lattice. By the iterative application of a few Lanczos steps on accurate projected fermionic wave functions and the Green's function Monte Carlo technique, we find that a gapless (algebraic) U(1) Dirac spin liquid is competitive with previously proposed gapped (topological) Z2 spin liquids. By performing a finite-size extrapolation of the ground-state energy, we obtain an energy per site E/J=-0.4365(2), which is equal, within three error bars, to the estimates given by the density-matrix renormalization group (DMRG). Our estimate is obtained for a translationally invariant system, and, therefore, does not suffer from boundary effects, like in DMRG. Moreover, on finite toric clusters at the pure variational level, our energies are lower compared to those from DMRG calculations.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/ab452f28527fbd02ea0fff87155e721c4d449b86

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In Atomic and Molecular Physics, and Optics

In Condensed Matter Physics

Citations in the corpus

Gradient methods for variational optimization of projected entangled-pair states (2016, background): “Examples such as the density-matrix renormalization group [3,4] and Gutzwiller-projected wave functions [5,6] seem to meet the latter, but it is unclear to what extent they are the natural choice for simulating two-dimensional quantum systems.”
Quantum spin liquid states (2016, methodology): “…recently, through the combination of the Lanczos algorithm for projected fermionic wavefunctions with the Green’s function Monte Carlo technique, Iqbal, Becca, Sorella, and Poilblanc (Iqbal et al., 2013, 2014) found that the gapless U(1)-Dirac spin liquid is competitive with gapped Z2 spin liquids.”
Physical realization of a quantum spin liquid based on a complex frustration mechanism (2016, background): “[23] Yasir Iqbal, Federico Becca, Sandro Sorella, and Didier Poilblanc, “Gapless spin-liquid phase in the kagome spin-”