# Bold diagrammatic Monte Carlo method applied to fermionized frustrated spins.

@article{Kulagin2013BoldDM, title={Bold diagrammatic Monte Carlo method applied to fermionized frustrated spins.}, author={Sergey A. Kulagin and Nikolay Prokof'ev and Oleg A. Starykh and Boris Svistunov and Christopher N. Varney}, journal={Physical review letters}, year={2013}, volume={110 7}, pages={ 070601 } }

We demonstrate, by considering the triangular lattice spin-1/2 Heisenberg model, that Monte Carlo sampling of skeleton Feynman diagrams within the fermionization framework offers a universal first-principles tool for strongly correlated lattice quantum systems. We observe the fermionic sign blessing--cancellation of higher order diagrams leading to a finite convergence radius of the series. We calculate the magnetic susceptibility of the triangular-lattice quantum antiferromagnet in the…

## 38 Citations

Resummation of Diagrammatic Series with Zero Convergence Radius for Strongly Correlated Fermions.

- Medicine, PhysicsPhysical review letters
- 2018

It is demonstrated that a summing up series of Feynman diagrams can yield unbiased accurate results for strongly correlated fermions even when the convergence radius vanishes, and the theoretically conjectured fourth virial coefficient is reconciled.

Spin-charge transformation of lattice fermion models: duality approach for diagrammatic simulation of strongly correlated systems.

- Physics, MedicineJournal of physics. Condensed matter : an Institute of Physics journal
- 2017

I derive a dual description of lattice fermions, specifically focusing on the t-J and Hubbard models, that allow diagrammatic techniques to be employed efficiently in the strongly correlated regime,…

Strange Metal Solution in the Diagrammatic Theory for the $2d$ Hubbard Model.

- Physics
- 2020

We show that the numerically exact bold-line diagrammatic theory for the $2d$ Hubbard model exhibits a non-Fermi-liquid (NFL) strange metal state, which is connected to the SYK NFL in the…

Diagrammatic Monte Carlo Approach to Angular Momentum in Quantum Many-Particle Systems.

- Physics, MedicinePhysical review letters
- 2018

A diagrammatic Monte Carlo approach to angular momentum properties of quantum many-particle systems possessing a macroscopic number of degrees of freedom is introduced, applicable at arbitrary coupling, is free of systematic errors and of finite-size effects, and naturally provides access to the impurity Green function.

High-precision numerical solution of the Fermi polaron problem and large-order behavior of its diagrammatic series

- Physics
- 2020

We introduce a simple determinant diagrammatic Monte Carlo algorithm to compute the ground-state properties of a particle interacting with a Fermi sea through a zero-range interaction. The fermionic…

Frustrated quantum magnetism with Bose gases in triangular optical lattices at negative absolute temperatures

- Physics
- 2019

Quantum antiferromagnets with geometrical frustration exhibit rich many-body physics but are hard to simulate by means of classical computers. Although quantum-simulation studies for analyzing such…

Phase diagram topology of the Haldane-Hubbard-Coulomb model

- PhysicsPhysical Review B
- 2019

We study the phase diagram of the interacting spin-$1/2$ Haldane model with chiral phase $\phi = \pi/2$ at half-filling. Both on-site and long-range Coulomb repulsive interactions…

Magnetization Process of the Spin-1/2 Triangular-Lattice Heisenberg Antiferromagnet with Next-Nearest-Neighbor Interactions -- Plateau or Nonplateau

- Physics
- 2017

An $S=1/2$ triangular-lattice Heisenberg antiferromagnet with next-nearest-neighbor interactions is investigated under a magnetic field by the numerical-diagonalization method. It is known that, in…

Two-temperature scales in the triangular-lattice Heisenberg antiferromagnet

- PhysicsPhysical Review B
- 2019

The anomalous thermodynamic properties of the paradigmatic frustrated spin-1/2 triangular lattice Heisenberg antiferromagnet (TLH) has remained an open topic of research over decades, both…

Grassmannization of classical models

- Physics
- 2016

Applying Feynman diagrammatics to non-fermionic strongly correlated models with local constraints might seem generically impossible for two separate reasons: (i) the necessity to have a Gaussian…

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