Characterization of quantum spin liquids and their spinon band structures via functional renormalization

@article{Hering2019CharacterizationOQ,
  title={Characterization of quantum spin liquids and their spinon band structures via functional renormalization},
  author={Max Hering and Jonas Sonnenschein and Yasir Iqbal and Johannes Reuther},
  journal={Physical Review B},
  year={2019}
}
We combine the pseudofermion functional renormalization group (PFFRG) method with a self-consistent Fock-like mean-field scheme to calculate low-energy effective theories for emergent spinon excitations in spin-1/2 quantum spin liquids. Using effective spin interactions from PFFRG as an input for the Fock equation and allowing for the most general types of free spinon ans\"atze as classified by the projective symmetry group (PSG) method, we are able to systematically determine spinon band… 

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References

SHOWING 1-10 OF 162 REFERENCES
Numerical treatment of spin systems with unrestricted spin length S : A functional renormalization group study
We develop a generalized pseudo-fermion functional renormalization group (PFFRG) approach that can be applied to arbitrary Heisenberg models with spins ranging from the quantum case $S=1/2$ to the
Projective symmetry group classification of chiral spin liquids
We present a general review of the projective symmetry group classification of fermionic quantum spin liquids for lattice models of spin $S=1/2$. We then introduce a systematic generalization of the
Gapless spin-liquid phase in the kagome spin-(1)/(2) Heisenberg antiferromagnet
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
Gapped spin liquid with Z 2 topological order for the kagome Heisenberg model
We apply symmetric tensor network state (TNS) to study the nearest neighbor spin-1/2 antiferromagnetic Heisenberg model on Kagome lattice. Our method keeps track of the global and gauge symmetries in
Projected wave function study of Z 2 spin liquids on the kagome lattice for the spin- 1 2 quantum Heisenberg antiferromagnet
Motivated by recent density-matrix renormalization group (DMRG) calculations [Yan, Huse, and White, Science 332, 1173 (2011)], which claimed that the ground state of the nearest-neighbor spin-$1/2$
Fractional spinon excitations in the quantum Heisenberg antiferromagnetic chain
One of the simplest quantum many-body systems is the spin-1/2 Heisenberg antiferromagnetic chain, a linear array of interacting magnetic moments. Its exact ground state is a macroscopic singlet
Theory of the spin liquid state of the Heisenberg antiferromagnet.
TLDR
The energy-momentum dispersion of quasiparticles and spin-1 collective modes, obtained variationally, supports the hypothesis that the spin liquid state has a finite energy gap.
Microscopic theory of the nearest-neighbor valence bond sector of the spin-12 kagome antiferromagnet
© 2018 American Physical Society. The spin-12 Heisenberg model on the kagome lattice, which is closely realized in layered Mott insulators such as ZnCu3(OH)6Cl2, is one of the oldest and most
Spectral signatures of fractionalization in the frustrated Heisenberg model on the square lattice
We employ a variational Monte Carlo approach to efficiently obtain the dynamical structure factor for the spin-1/2 $J_1-J_2$ Heisenberg model on the square lattice. Upon increasing the frustrating
Quantum Spin Liquids in Frustrated Spin-1 Diamond Antiferromagnets.
TLDR
Applying a recently developed pseudospin functional renormalization group approach for arbitrary spin-S magnets, it is found that systems with S≥3/2 reside in the classical regime, where the low-temperature physics is dominated by the formation of coplanar spirals and a thermal transition.
...
1
2
3
4
5
...