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Related papers: Functional renormalization group for frustrated ma…

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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. In order to treat the off-diagonal…

Strongly Correlated Electrons · Physics 2017-02-22 Max Hering , Johannes Reuther

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 instead benefits the emergence of long-range…

Strongly Correlated Electrons · Physics 2016-12-16 Finn Lasse Buessen , Simon Trebst

For decades, frustrated quantum magnets have been a seed for scientific progress and innovation in condensed matter. As much as the numerical tools for low-dimensional quantum magnetism have thrived and improved in recent years due to…

Strongly Correlated Electrons · Physics 2024-06-14 Tobias Müller , Dominik Kiese , Nils Niggemann , Björn Sbierski , Johannes Reuther , Simon Trebst , Ronny Thomale , Yasir Iqbal

The functional renormalization group (FRG) approach for spin models relying on a pseudo-fermionic description has proven to be a powerful technique in simulating ground state properties of strongly frustrated magnetic lattices. A drawback…

Strongly Correlated Electrons · Physics 2025-12-17 Janik Potten , Yasir Iqbal , Ronny Thomale , Tobias Müller

We formulate a pseudofermion functional renormalization group (PFFRG) scheme to address frustrated quantum magnetism in three dimensions. In a scenario where many numerical approaches fail due to sign problem or small system size,…

Strongly Correlated Electrons · Physics 2016-12-08 Yasir Iqbal , Ronny Thomale , Francesco Parisen Toldin , Stephan Rachel , Johannes Reuther

The pseudo-fermion functional renormalization group is generalized to treat spin Hamiltonians with finite magnetic fields, enabling its application to arbitrary spin lattice models with linear and bilinear terms in the spin operators. We…

Strongly Correlated Electrons · Physics 2025-01-30 Vincent Noculak , Johannes Reuther

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 magnets in two and three spatial…

Strongly Correlated Electrons · Physics 2018-02-21 Finn Lasse Buessen , Dietrich Roscher , Sebastian Diehl , Simon Trebst

The numerical study of high-dimensional frustrated quantum magnets remains a challenging problem. Here we present an extension of the pseudo-Majorana functional renormalization group to spin-1/2 XXZ type Hamiltonians with field or…

Strongly Correlated Electrons · Physics 2025-02-18 Frederic Bippus , Benedikt Schneider , Björn Sbierski

We investigate dimerized quantum spin systems using the spin functional renormalization group approach proposed by Krieg and Kopietz [Phys. Rev. B 99, 060403(R) (2019)] which directly focuses on the physical spin correlation functions and…

Strongly Correlated Electrons · Physics 2022-06-16 Andreas Rückriegel , Jonas Arnold , Raphael Goll , Peter Kopietz

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.…

Strongly Correlated Electrons · Physics 2019-04-03 Max Hering , Jonas Sonnenschein , Yasir Iqbal , Johannes Reuther

The observation of strongly-correlated states in moir\'e systems has renewed the conceptual interest in magnetic systems with higher SU(4) spin symmetry, e.g. to describe Mott insulators where the local moments are coupled spin-valley…

Strongly Correlated Electrons · Physics 2022-08-02 Lasse Gresista , Dominik Kiese , Simon Trebst

We present a functional renormalization group flow for many-fermion lattice models into phases with broken spin-rotational symmetry. The flow is expressed purely in terms of fermionic vertex functions. The symmetry breaking is seeded by a…

Strongly Correlated Electrons · Physics 2012-10-11 Stefan A. Maier , Carsten Honerkamp

Recent discoveries in neutron scattering experiments for Kapellasite and Herbertsmithite as well as theoretical calculations of possible spin liquid phases have revived interest in magnetic phenomena on the kagome lattice. We study the…

Strongly Correlated Electrons · Physics 2015-06-15 Raik Suttner , Christian Platt , Johannes Reuther , Ronny Thomale

Spin-$1/2$ kagome antiferromagnets are leading candidates for realizing quantum spin liquid (QSL) ground states. While QSL ground states are predicted for the pure Heisenberg model, understanding the robustness of the QSL to additional…

Strongly Correlated Electrons · Physics 2026-02-16 Shengtao Jiang , Arthur C. Campello , Wei He , Jiajia Wen , Daniel M. Pajerowski , Young S. Lee , Hong-Chen Jiang

Spin-1/2 kagome antiferromagnet (AFM) is one of the most studied models in frustrated magnetism since it is a promising candidate to host exotic spin liquid states. However, despite numerous studies using both analytical and numerical…

Strongly Correlated Electrons · Physics 2025-03-11 Tanja Duric , Jia Hui Chung , Bo Yang , Pinaki Sengupta

We present a multiloop pseudofermion functional renormalization group (pffRG) approach to quantum spin systems. As a test case, we study the spin-$\tfrac{1}{2}$ Heisenberg model on the kagome lattice, a prime example of a geometrically…

Strongly Correlated Electrons · Physics 2020-11-04 Julian Thoenniss , Marc K. Ritter , Fabian B. Kugler , Jan von Delft , Matthias Punk

We analyse the antiferromagnetic spin-$1/2$ XXZ model on the kagome lattice at finite external magnetic field with the help of a nonperturbative zero-temperature renormalization group (RG) technique. Following the work of Kumar \emph{et al}…

Strongly Correlated Electrons · Physics 2019-09-30 Santanu Pal , Anirban Mukherjee , Siddhartha Lal

We present the SpinParser open-source software [ https://github.com/fbuessen/SpinParser ]. The software is designed to perform pseudofermion functional renormalization group (pf-FRG) calculations for frustrated quantum magnets in two and…

Computational Physics · Physics 2022-09-02 Finn Lasse Buessen

We devise a functional renormalization group treatment for a chain of interacting spinless fermions which is correct up to second order in the interaction strength. We treat both inhomogeneous systems in real-space as well as the…

Mesoscale and Nanoscale Physics · Physics 2017-12-20 Björn Sbierski , Christoph Karrasch

The field of frustrated magnetism has been enriched significantly by the discovery of various kagome lattice compounds. These materials exhibit a great variety of macroscopic behaviours ranging from magnetic orders to quantum spin liquids.…

Strongly Correlated Electrons · Physics 2015-08-10 Tsezar F. Seman , Cheng-Chien Chen , Rajiv R. P. Singh , Michel van Veenendaal
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