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Ordering of the geometrically frustrated two-dimensional Heisenberg antiferromagnet on a pyrochlore slab is studied by Monte Carlo simulations. The model is expected to serve as a reference system of SrCrGaO compound studied extensively. In…

Statistical Mechanics · Physics 2015-06-24 Takuya Arimori , Hikaru Kawamura

We present a functional renormalization group scheme that allows us to calculate frustrated magnetic systems of arbitrary lattice geometry beyond O(200) sites from first principles. We study the magnetic susceptibility of the…

Strongly Correlated Electrons · Physics 2015-05-19 Johannes Reuther , Ronny Thomale

The pseudofermion functional renormalization group (pffRG) is a computational method for determining zero-temperature phase diagrams of frustrated quantum magnets. In a recent methodological advance, the commonly employed Katanin truncation…

Strongly Correlated Electrons · Physics 2022-07-04 Marc K. Ritter , Dominik Kiese , Tobias Müller , Fabian B. Kugler , Ronny Thomale , Simon Trebst , Jan von Delft

We implement an extension of the pseudofermion functional renormalization group (PFFRG) method for quantum spin systems that takes into account two-loop diagrammatic contributions. An efficient numerical treatment of the additional terms is…

Strongly Correlated Electrons · Physics 2018-04-18 Marlon Rueck , Johannes Reuther

We develop a finite-temperature perturbation theory for quasi-one-dimensional quantum spin systems, in the manner suggested by H.J. Schulz (1996) and use this formalism to study their dynamical response. The corrections to the random-phase…

Strongly Correlated Electrons · Physics 2009-11-07 Marc Bocquet

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

We investigate the thermodynamic properties of the frustrated bilayer quantum Heisenberg antiferromagnet at low temperatures in the vicinity of the saturation magnetic field. The low-energy degrees of freedom of the spin model are mapped…

Strongly Correlated Electrons · Physics 2007-05-23 Johannes Richter , Oleg Derzhko , Taras Krokhmalskii

We study quantum ferrimagnets in one, two, and three dimensions by using a variety of methods and approximations. These include: (i) a treatment based on the spin coherent state path-integral formulation of quantum ferrimagnets by taking…

Condensed Matter · Physics 2007-05-23 M. Abolfath , H. Hamidian , A. Langari

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

The quantitative description of long-range order remains a challenge in quantum many-body physics. We provide zero-temperature results from two complementary methods for the ground-state energy per site, the sublattice magnetization, the…

Strongly Correlated Electrons · Physics 2025-10-24 Nils Caci , Dag-Björn Hering , Matthias R. Walther , Kai P. Schmidt , Stefan Wessel , Götz S. Uhrig

We explore low temperature properties of quantum triangular Heisenberg antiferromagnets in two dimension in the vicinity of the quantum phase transition at zero temperature. Using the effective field theory described by the $SO(3)\times…

Strongly Correlated Electrons · Physics 2009-11-11 Satoshi Fujimoto

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

We discuss spin-$\frac12$ Heisenberg antiferromagnet on simple square lattice in magnetic field $H$ using recently proposed bond-operator technique. It is well known that magnetically ordered phases of quantum magnets are well described at…

Strongly Correlated Electrons · Physics 2020-07-15 A. V. Syromyatnikov

Magnetic properties of the ferrimagnetic mixed spin-(1/2,S) Heisenberg chains are examined using quantum Monte Carlo simulations for two different quantum spin numbers S = 1 and 3/2. The calculated magnetization curves at finite…

Statistical Mechanics · Physics 2017-06-21 Jozef Strecka , Taras Verkholyak

We investigate the spin $S=1/2$ Heisenberg model on the body centered cubic lattice in the presence of ferromagnetic and antiferromagnetic nearest-neighbor $J_{1}$, second-neighbor $J_{2}$, and third-neighbor $J_{3}$ exchange interactions.…

Long-wavelength spin fluctuations prohibit antiferromagnetic long-range order at finite temperature in two dimensions. Nevertheless, the correlation length starts to grow rapidly at a crossover temperature, leading to critical slowing down…

Strongly Correlated Electrons · Physics 2024-09-30 Y. M. Vilk , Camille Lahaie , A. -M. S. Tremblay

Using a combination of quantum Monte Carlo simulations in adapted cluster bases, the finite temperature Lanczos method, and an effective Hamiltonian approach, we explore the thermodynamic properties of the spin-1/2 Heisenberg…

Strongly Correlated Electrons · Physics 2023-11-23 Adrien Reingruber , Nils Caci , Stefan Wessel , Johannes Richter

We examine the nature of the transition to the antiferromagnetically ordered state in the half-filled three-dimensional Hubbard model using the dual-fermion multiscale approach. Consistent with analytics, in the weak-coupling regime we find…

Strongly Correlated Electrons · Physics 2015-10-14 Daniel Hirschmeier , Hartmut Hafermann , Emanuel Gull , Alexander I. Lichtenstein , Andrey E. Antipov

Ordering of the geometrically frustrated two-dimensional Heisenberg antiferromagnet on a pyrochlore slab is studied by Monte Carlo simulations. In contrast to the kagom\'e Heisenberg antiferromagnet, the model exhibits locally non-coplanar…

Statistical Mechanics · Physics 2009-11-07 Hikaru Kawamura , Takuya Arimori

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…

Strongly Correlated Electrons · Physics 2019-09-18 Dietrich Roscher , Nico Gneist , Michael M. Scherer , Simon Trebst , Sebastian Diehl