Functional renormalization group approach to SU(N) Heisenberg models: Momentum-space renormalization group for the large-N limit

Dietrich Roscher, Finn Lasse Buessen, Michael M. Scherer, Simon Trebst, and Sebastian Diehl
Phys. Rev. B 97, 064416 – Published 20 February 2018

Abstract

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 been the development of the pseudofermion functional renormalization group approach (pf-FRG) which, building on a fermionic parton construction, enables the numerical detection of the onset of spin liquid states as temperature is lowered. In this work, focusing on the SU(N) Heisenberg model at large N, we extend this approach in a way that allows us to directly enter the low-temperature spin liquid phase, and to probe its character. Our approach proceeds in momentum space, making it possible to keep the truncation minimalistic, while also avoiding the bias introduced by an explicit decoupling of the fermionic parton interactions into a given channel. We benchmark our findings against exact mean-field results in the large-N limit, and show that even without prior knowledge the pf-FRG approach identifies the correct mean-field decoupling channel. On a technical level, we introduce an alternative finite temperature regularization scheme that is necessitated to access the spin liquid ordered phase. In a companion paper [Buessen et al., Phys. Rev. B 97, 064415 (2018)] we present a different set of modifications of the pf-FRG scheme that allow us to study SU(N) Heisenberg models (using a real-space RG approach) for arbitrary values of N, albeit only up to the phase transition towards spin liquid physics.

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  • Received 13 November 2017

DOI:https://doi.org/10.1103/PhysRevB.97.064416

©2018 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Dietrich Roscher1,2, Finn Lasse Buessen1, Michael M. Scherer1, Simon Trebst1, and Sebastian Diehl1

  • 1Institute for Theoretical Physics, University of Cologne, 50937 Cologne, Germany
  • 2Department of Physics, Simon Fraser University, Burnaby, British Columbia, Canada V5A 1S6

See Also

Functional renormalization group approach to SU(N) Heisenberg models: Real-space renormalization group at arbitrary N

Finn Lasse Buessen, Dietrich Roscher, Sebastian Diehl, and Simon Trebst
Phys. Rev. B 97, 064415 (2018)

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Vol. 97, Iss. 6 — 1 February 2018

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