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J 1 -J 2 frustrated two-dimensional Heisenberg model: Random phase approximation and functional renormalization group

- J. Reuther, P. Wolfle
- Physics
- 4 December 2009

We study the ground-state properties of the two-dimensional spin-1/2 ${J}_{1}\text{\ensuremath{-}}{J}_{2}$ Heisenberg model on a square lattice, within diagrammatic approximations using an… Expand

Physical realization of a quantum spin liquid based on a complex frustration mechanism

A detailed and systematic study of Ca10Cr7O28 reveals all the hallmarks of spin-liquid behaviour, in spite of the compound’s unusually complex structure.

Quantum and Classical Phases of the Pyrochlore Heisenberg Model with Competing Interactions

- Y. Iqbal, Tobias Muller, +5 authors R. Thomale
- PhysicsPhysical Review X
- 26 February 2018

We investigate the quantum Heisenberg model on the pyrochlore lattice for a generic spin-$S$ in the presence of nearest-neighbor $J_{1}$ and second-nearest-neighbor $J_{2}$ exchange interactions. By… Expand

Finite-temperature phase diagram of the Heisenberg-Kitaev model

- J. Reuther, R. Thomale, S. Trebst
- Physics
- 10 May 2011

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… Expand

Anisotropic susceptibilities in the honeycomb Kitaev system
α−RuCl3

- P. Lampen-Kelley, S. Rachel, +6 authors D. Mandrus
- PhysicsPhysical Review B
- 13 March 2018

The magnetic insulator $\ensuremath{\alpha}\ensuremath{-}{\mathrm{RuCl}}_{3}$ is a promising candidate to realize Kitaev interactions on a quasi-two-dimensional honeycomb lattice. We perform… Expand

Functional renormalization group analysis of Dzyaloshinsky-Moriya and Heisenberg spin interactions on the kagome lattice

- Max Hering, J. Reuther
- Physics
- 28 October 2016

We investigate the effects of Dzyaloshinsky-Moriya (DM) interactions on the frustrated $J_1$-$J_2$ kagome-Heisenberg model using the pseudo-fermion functional-renormalization-group (PFFRG) technique.… Expand

Relevance of the Heisenberg-Kitaev model for the honeycomb lattice iridates A2IrO3.

- Y. Singh, S. Manni, +5 authors P. Gegenwart
- Physics, MedicinePhysical review letters
- 2 June 2011

TLDR

Paramagnetism in the kagome compounds (Zn,Mg,Cd)Cu3(OH)6Cl2

- Y. Iqbal, H. Jeschke, +4 authors R. Thomale
- Physics
- 10 June 2015

Frustrated magnetism on the kagome lattice has been a fertile ground for rich and fascinating physics, ranging from experimental evidence of a spin liquid to theoretical predictions of exotic… Expand

Spiral order in the honeycomb iridate Li2IrO3

- J. Reuther, R. Thomale, S. Rachel
- Physics
- 23 April 2014

The honeycomb iridates A_2IrO_3 (A = Na, Li) constitute promising candidate materials to realize the Heisenberg-Kitaev model (HKM) in nature, hosting unconventional magnetic as well as spin-liquid… Expand

Numerical treatment of spin systems with unrestricted spin length S : A functional renormalization group study

- M. L. Baez, J. Reuther
- Physics
- 15 December 2016

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… Expand

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