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We investigate quantum effects on magnon excitations in a minimal spin-1/2 Heisenberg model for 2D altermagnets on the square lattice. A continuous similarity transformation is applied in momentum space to derive an effective Hamiltonian…

Strongly Correlated Electrons · Physics 2025-11-06 Raymond Wiedmann , Dag-Björn Hering , Vanessa Sulaiman , Matthias R. Walther , Kai P. Schmidt , Götz S. Uhrig

We apply continuous similarity transformations (CSTs) to study the zero-temperature breakdown of long-range ordered quantum antiferromagnets. The CST flow equations are truncated in momentum space by the scaling dimension so that all…

Strongly Correlated Electrons · Physics 2024-08-09 Dag-Björn Hering , Matthias R. Walther , Kai P. Schmidt , Götz S. Uhrig

We investigate the physical properties of elementary magnon excitations of the ordered antiferromagnetic Heisenberg model on the honeycomb lattice using quantum Monte Carlo (QMC) simulations, series expansions (SE), and continuous…

Strongly Correlated Electrons · Physics 2025-12-23 Calvin Krämer , Dag-Björn Hering , Vanessa Sulaiman , Matthias R. Walther , Götz S. Uhrig , Kai Phillip Schmidt

We propose a versatile approach to treat commonly arising constraints. It is illustrated for interacting magnons of the Heisenberg antiferromagnet on a square lattice. For systems of $L\times L$ sites a non-perturbative continuous unitary…

Strongly Correlated Electrons · Physics 2009-11-11 Kai P. Schmidt , Götz S. Uhrig

The XXZ model on a square lattice in the presence of a transverse magnetic field is studied within the spin wave theory to investigate the resulting canted antiferromagnet. The small and large field regimes are probed separately both for…

Strongly Correlated Electrons · Physics 2017-07-26 Satyaki Kar , Keola Wierschem , Pinaki Sengupta

We solve few-magnon problems for a finite-size spin-$S$ periodic Heisenberg XXZ chain with single-ion anisotropy through constructing sets of exact Bloch states achieving block diagonalization of the system. Concretely, the two-magnon…

Statistical Mechanics · Physics 2022-02-15 Ning Wu , Hosho Katsura , Sheng-Wen Li , Xiaoming Cai , Xi-Wen Guan

We investigate the critical scaling of the spin-1/2 antiferromagnet on the square lattice in the easy-plane (XXZ) regime, via numerical measurements of the entanglement entropy constructed from the zeroes of a polynomial ring. We relate…

Statistical Mechanics · Physics 2009-08-22 P. R. Crompton

We address the quantum transition of a spin-1/2 antiferromagnetic Kondo lattice model with an easy-axis anisotropy using the extended dynamical mean field theory. We derive results in real frequency using the bosonic numerical…

Strongly Correlated Electrons · Physics 2009-11-11 Jian-Xin Zhu , Stefan Kirchner , Ralf Bulla , Qimiao Si

We present a detailed investigation of longitudinal magneto-thermal transport in the $S=1/2$ ferromagnetic XXZ model with easy-axis exchange anisotropy ($\Delta>1$) on a face-centered cubic lattice consisting of four sublattices. We employ…

Strongly Correlated Electrons · Physics 2025-10-28 M. R. Parymuda

We analyze the properties of low-energy bound states in the transverse-field Ising model and in the XXZ model on the square lattice. To this end, we develop an optimized implementation of perturbative continuous unitary transformations. The…

Strongly Correlated Electrons · Physics 2010-02-18 S. Dusuel , M. Kamfor , K. P. Schmidt , R. Thomale , J. Vidal

Square lattice Heisenberg and XY antiferromagnets with uniaxial anisotropy in a field along the easy axis are studied. Based on ground state considerations and Monte Carlo simulations, the role of biconical structures in the transition…

Statistical Mechanics · Physics 2007-12-20 M. Holtschneider , W. Selke

Using the Quantum Inverse Scattering Method we construct an integrable Heisenberg-XXZ-model, or equivalently a model for spinless fermions with nearest-neighbour interaction, with defects. Each defect involves three sites with a fine tuning…

Condensed Matter · Physics 2009-10-28 P. Schmitteckert , P. Schwab , U. Eckern

Ground-state and thermodynamical properties of the spin-1/2 two-dimensional easy-plane XXZ model are investigated by both a Green's-function approach and by Lanczos diagonalizations on lattices with up to 36 sites. We calculate the spatial…

Strongly Correlated Electrons · Physics 2024-04-10 H. Fehske , C. Schindelin , A. Weiße , H. Büttner , D. Ihle

The two-level model for a double quantum dot coupled to two leads, which is ubiquitously used to describe charge oscillations, transmission-phase lapses and correlation-induced resonances, is considered in its general form. The model…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Vyacheslavs Kashcheyevs , Avraham Schiller , Amnon Aharony , Ora Entin-Wohlman

We consider quantum Heisenberg ferro- and antiferromagnets on the square lattice with exchange anisotropy of easy-plane or easy-axis type. The thermodynamics and the critical behaviour of the models are studied by the pure-quantum…

Statistical Mechanics · Physics 2015-06-24 A. Cuccoli , T. Roscilde , V. Tognetti , R. Vaia , P. Verrucchi

Classical uniaxially anisotropic Heisenberg and XY antiferromagnets in a field along the easy axis on a square lattice are analysed, applying ground state considerations and Monte Carlo techniques. The models are known to display…

Statistical Mechanics · Physics 2009-11-13 M. Holtschneider , W. Selke

We use the coupled cluster method (CCM) to study the ground-state properties and lowest-lying triplet excited state of the spin-half {\it XXZ} antiferromagnet on the square lattice. The CCM is applied to it to high orders of approximation…

We consider the easy-plane anisotropic spin-1/2 Heisenberg chain in combined uniform longitudinal and transverse staggered magnetic fields. The low-energy limit of his model is described by the sine-Gordon quantum field theory. Using…

Strongly Correlated Electrons · Physics 2009-01-06 Igor Kuzmenko , Fabian H. L. Essler

The quantum-classical transitions of the escape rates in a uniaxial spin model relevant to the molecular magnet Mn$_{12}$Ac and a biaxial anisotropic ferromagnetic particle are investigated by applying the periodic instanton method. The…

Soft Condensed Matter · Physics 2009-10-31 Y. -B. Zhang , Y. -H. Nie , S. -P. Kou , J. -Q. Liang , H. J. W. Mueller-Kirsten , F. -C. Pu

We study classical and quantum Heisenberg antiferromagnets with exchange anisotropy of XXZ-type and crystal field single-ion terms of quadratic and cubic form in a field. The magnets display a variety of phases, including the spin-flop (or,…

Statistical Mechanics · Physics 2011-01-12 W. Selke , G. Bannasch , M. Holtschneider , I. P. McCulloch , D. Peters , S. Wessel
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