Cluster functional renormalization group and absence of a bilinear spin liquid in the J1−J2 Heisenberg model

@article{Roscher2019ClusterFR,
  title={Cluster functional renormalization group and absence of a bilinear spin liquid in the 
J1−J2
 Heisenberg model},
  author={Dietrich Dr. Roscher and Nico Gneist and Michael M Scherer and Simon Trebst and Sebastian Diehl},
  journal={Physical Review B},
  year={2019}
}
The pseudofermion functional renormalization group (pf-FRG) has been put forward as a semi-analytical scheme that, for a given microscopic spin model, allows to discriminate whether the low-temperature states exhibit magnetic ordering or a tendency towards the formation of quantum spin liquids. However, the precise nature of the putative spin liquid ground state has remained hard to infer from the original (single-site) pf-FRG scheme. Here we introduce a cluster pf-FRG approach, which allows… 
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References

SHOWING 1-10 OF 48 REFERENCES
Functional renormalization group approach to SU(N) Heisenberg models: Momentum-space renormalization group for the large-N limit
In frustrated magnetism, making a stringent connection between microscopic spin models and macroscopic properties of spin liquids remains an important challenge. A recent step towards this goal has
Cluster functional renormalization group
Functional renormalization group (FRG) has become a diverse and powerful tool to derive effective low-energy scattering vertices of interacting many-body systems. Starting from a free expansion point
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
Competing magnetic orders and spin liquids in two- and three-dimensional kagome systems: Pseudofermion functional renormalization group perspective
Quantum magnets on kagome lattice geometries in two and three spatial dimensions are archetypal examples of spin systems in which geometric frustration inhibits conventional magnetic ordering and
Gapless spin liquid ground state of the spin- 12 J1−J2 Heisenberg model on square lattices
The spin-1/2 $J_1$-$J_2$ Heisenberg model on square lattices are investigated via the finite projected entangled pair states (PEPS) method. Using the recently developed gradient optimization method
Functional renormalization group approach to SU(N) Heisenberg models: Real-space renormalization group at arbitrary N
The pseudofermion functional renormalization group (pf-FRG) is one of the few numerical approaches that has been demonstrated to quantitatively determine the ordering tendencies of frustrated quantum
Finite-temperature phase diagram of the Heisenberg-Kitaev model
We discuss the finite-temperature phase diagram of the Heisenberg-Kitaev model on the hexagonal lattice, which has been suggested to describe the spin-orbital exchange of the effective spin-1/2
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.
Dual lattice functional renormalization group for the Berezinskii-Kosterlitz-Thouless transition: Irrelevance of amplitude and out-of-plane fluctuations.
TLDR
A functional renormalization group (FRG) approach for the two-dimensional XY model is developed by combining the lattice FRG proposed by Machado and Dupuis with a duality transformation that explicitly introduces vortices via an integer-valued field, demonstrating that previous failures to obtain a line of true fixed points within the FRG are a mathematical artifact of insufficient truncation schemes.
The spin- 1/2 Heisenberg antiferromagnet on a square lattice and its application to the cuprous oxides
The spin-1/2 antiferromagnetic Heisenberg model on a square lattice is used to describe the dynamics of the spin degrees of freedom of undoped copper oxides. Even though the model lacks an exact
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