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Using a lattice-gas description of the low-energy degrees of freedom of the quantum Heisenberg antiferromagnet on the frustrated two-leg ladder and bilayer lattices we examine the magnetization process at low temperatures for these spin…

Strongly Correlated Electrons · Physics 2011-12-30 Oleg Derzhko , Taras Krokhmalskii , Johannes Richter

A two-leg quenched random bond disordered antiferromagnetic spin$-1/2$ Heisenberg ladder system is investigated by means of stochastic series expansion (SSE) quantum Monte Carlo (QMC) method. Thermal properties of the uniform and staggered…

Strongly Correlated Electrons · Physics 2020-10-28 Ulvi Kanbur , Hamza Polat , Erol Vatansever

We investigate the spin-1/2 Heisenberg antiferromagnet on a distorted diamond-decorated honeycomb lattice in an external magnetic field. By combining density-matrix renormalization group, sign-problem-free quantum Monte Carlo in a mixed…

Statistical Mechanics · Physics 2026-03-03 Katarina Karlova , Jozef Strecka

We have developed a very efficient numerical algorithm of the strong disorder renormalization group method to study the critical behaviour of the random transverse-field Ising model, which is a prototype of random quantum magnets. With this…

Disordered Systems and Neural Networks · Physics 2011-09-21 István A. Kovács , Ferenc Iglói

The spin-1/2 antiferromagnetic Heisenberg systems are studied on three typical diamond-type hierarchical lattices (systems A, B and C) with fractal dimensions 1.63, 2 and 2.58, respectively, and the phase diagrams, critical phenomena and…

Statistical Mechanics · Physics 2021-07-13 Pan-Pan Zhang , Zhong-Yang Gao , Yu-Liang Xu , Chun-Yang Wang , Xiang-Mu Kong

We investigate quantum phase transitions in the spin-1/2 Heisenberg antiferromagnet on square lattices with inhomogeneous bond dilution. It is shown that quantum fluctuations can be continuously tuned by inhomogeneous bond dilution,…

Strongly Correlated Electrons · Physics 2009-11-11 Rong Yu , Tommaso Roscilde , Stephan Haas

We use large-scale density-matrix renormalization group simulations with bond dimensions up to $20\ 000$ to determine the magnetization curves of spin-1 and spin-$\tfrac{3}{2}$ pyrochlore Heisenberg antiferromagnets. Both models exhibit a…

Strongly Correlated Electrons · Physics 2026-02-19 Imre Hagymási

We have simulated the classical Heisenberg antiferromagnet on a triangular lattice using a local Monte Carlo algorithm. The behavior of the correlation length $\xi$, the susceptibility at the ordering wavevector $\chi(\bf Q)$, and the spin…

Condensed Matter · Physics 2009-10-28 M. Wintel , H. U. Everts , W. Apel

We study the $S=1/2$ pyrochlore Heisenberg antiferromagnet in a magnetic field. Using large scale density-matrix renormalization group (DMRG) calculations for clusters up to $128$ spins, we find indications for a finite triplet gap, causing…

Strongly Correlated Electrons · Physics 2022-09-14 Imre Hagymási , Robin Schäfer , Roderich Moessner , David J. Luitz

Monte Carlo simulations have been used to study a discretized Heisenberg ferromagnet (FM) with random uniaxial single-site anisotropy on $L \times L \times L$ simple cubic lattices, for $L$ up to 64. The spin variable on each site is chosen…

Disordered Systems and Neural Networks · Physics 2009-10-31 Ronald Fisch

Using functional renormalization group methods, we study an effective low-energy model describing the Ising-nematic quantum critical point in two-dimensional metals. We treat both gapless fermionic and bosonic degrees of freedom on equal…

Strongly Correlated Electrons · Physics 2012-06-25 Casper Drukier , Lorenz Bartosch , Aldo Isidori , Peter Kopietz

We expand upon on an earlier renormalization group analysis of a non-Fermi liquid fixed point that plausibly govers the two dimensional electron liquid in a magnetic field near filling fraction $\nu=1/2$. We give a more complete description…

Condensed Matter · Physics 2009-10-22 Chetan Nayak , Frank Wilczek

We address the ground-state properties of the long-standing and much-studied three-dimensional quantum spin liquid candidate, the $S=\frac 1 2$ pyrochlore Heisenberg antiferromagnet. By using $SU(2)$ density-matrix renormalization group…

Strongly Correlated Electrons · Physics 2021-03-24 Imre Hagymási , Robin Schäfer , Roderich Moessner , David J. Luitz

We study the Heisenberg $S=1/2$ chain with random ferro- and antiferromagnetic couplings using quantum Monte Carlo simulations at ultra-low temperatures, converging to the ground state. Finite-size scaling of correlation functions and…

Strongly Correlated Electrons · Physics 2025-02-26 Sibei Li , Hui Shao , Anders W. Sandvik

Achieving long-range ferrimagnetic order in purely organic systems remains a major challenge in molecular magnetism. Here we report the synthesis and characterization of heterospin-coupling motifs, formed by covalently linking spin-1/2 and…

Mesoscale and Nanoscale Physics · Physics 2026-04-10 Elia Turco , Fupeng Wu , Annika Bernhardt , Nils Krane , Ji Ma , Roman Fasel , Michal Juriček , Xinliang Feng , Pascal Ruffieux

The channel-decomposed functional renormalization group (FRG) approach, most recently in the variant of truncated-unity-(TU-)FRG, has so far been used for various two-dimensional model systems. Yet, for many interesting material systems the…

Strongly Correlated Electrons · Physics 2020-11-11 Jannis Ehrlich , Carsten Honerkamp

We investigate the critical relaxational dynamics of the S=1/2 Heisenberg ferromagnet on a simple cubic lattice within the Handscomb prescription on which it is a diagrammatic series expansion of the partition function that is computed by…

Statistical Mechanics · Physics 2009-10-31 A. J. F. de Souza , U. M. S. Costa , M. L. Lyra

One-dimensional Heisenberg spin 1/2 chains with random ferro- and antiferromagnetic bonds are realized in systems such as $Sr_3 CuPt_{1-x} Ir_x O_6$. We have investigated numerically the thermodynamic properties of a generic random bond…

Disordered Systems and Neural Networks · Physics 2009-10-31 Beat Ammon , Manfred Sigrist

Commensurate and incommensurate antiferromagnetic fluctuations in the two-dimensional repulsive t-t'-Hubbard model are investigated using functional renormalization group equations. For a sufficient deviation from half filling we establish…

Strongly Correlated Electrons · Physics 2013-05-29 H. C. Krahl , S. Friederich , C. Wetterich

The antiferromagnetic Heisenberg model on a pyrochlore lattice under external magnetic field is studied by classical Monte Carlo simulation. The model includes bilinear and biquadratic interactions; the latter effectively describes the…

Strongly Correlated Electrons · Physics 2007-05-23 Yukitoshi Motome , Karlo Penc , Nic Shannon