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The nonlinear sigma-model and its generalization on N-component spins, the O(N) model, are considered to describe thermodynamics of a quantum quasi-two-dimensional (quasi-2D) Heisenberg antiferromagnet. A comparison with standard spin-wave…

Condensed Matter · Physics 2009-10-30 V. Yu. Irkhin , A. A. Katanin

We studied the thermodynamics of the one-dimensional J1-J2 spin-1/2 Heisenberg chain for ferromagnetic nearest-neighbor bonds J1 < 0 and frustrating antiferromagnetic next-nearest-neighbor bonds J1 > 0 using full diagonalization of finite…

Strongly Correlated Electrons · Physics 2011-09-15 J. Richter , M. Härtel , D. Ihle , S. -L. Drechsler

Using the spin-rotation-invariant Green's function method we calculate the thermodynamic quantities (correlation functions <S_0 S_R>, uniform static spin susceptibility \chi, correlation length \xi, and specific heat C_V) of the…

Strongly Correlated Electrons · Physics 2010-05-27 M. Härtel , J. Richter , D. Ihle , S. -L. Drechsler

Quantum antiferromagnets have proven to be some of the cleanest realizations available for theoretical, numerical, and experimental studies of quantum fluctuation effects. At finite temperatures, however, the additional effects of thermal…

Strongly Correlated Electrons · Physics 2016-04-28 A. Honecker , S. Wessel , R. Kerkdyk , T. Pruschke , F. Mila , B. Normand

We use the spin-rotation-invariant Green's function method as well as the high-temperature expansion to discuss the thermodynamic properties of the frustrated spin-$S$ $J_{1}$-$J_{2}$ Heisenberg magnet on the body-centered cubic lattice. We…

Statistical Mechanics · Physics 2015-07-17 P. Müller , J. Richter , A. Hauser , D. Ihle

The thermodynamic quantities (spin-spin correlation functions <{\bf S}_0{\bf S}_n>, correlation length {\xi}, spin susceptibility {\chi}, and specific heat C_V) of the frustrated one-dimensional J1-J2 Heisenberg ferromagnet with arbitrary…

Strongly Correlated Electrons · Physics 2015-05-28 M. Haertel , J. Richter , D. Ihle , J. Schnack , S. -L. Drechsler

We calculate the low-temperature thermodynamic quantities (magnetization, correlation functions, transverse and longitudinal correlation lengths, spin susceptibility, and specific heat) of the frustrated one-dimensional spin-half J1-J2…

Strongly Correlated Electrons · Physics 2015-05-27 M. Härtel , J. Richter , D. Ihle

The frustrated ferromagnetic spin-1/2 Heisenberg chain is studied by means of a low-energy field theory as well as the density-matrix renormalization group and exact diagonalization methods. Firstly, we study the ground-state phase diagram…

Strongly Correlated Electrons · Physics 2007-05-23 F. Heidrich-Meisner , A. Honecker , T. Vekua

We investigate the ground-state and finite-temperature properties of the $J_1$-$J_2$ Heisenberg antiferromagnet on the square lattice in the presence of an external magnetic field. We focus on the highly frustrated regime around $J_2…

Strongly Correlated Electrons · Physics 2026-02-18 Andreas Honecker , M. E. Zhitomirsky , Alexander Wietek , Johannes Richter

The spin 1/2 Heisenberg model on a square lattice with antiferromagnetic nearest- and next-nearest neighbour interactions (the $J_1$--$J_2$ model) has long been studied as a paradigm of a two-dimensional frustrated quantum magnet. Only very…

Strongly Correlated Electrons · Physics 2007-05-23 Nic Shannon , Burkhard Schmidt , Karlo Penc , Peter Thalmeier

The quantum Heisenberg antiferromagnet on the stacked triangular lattice with the intralayer nearest-neighbor exchange interaction J and interlayer exchange J' is considered within the non-linear $\sigma$-model with the use of the…

Statistical Mechanics · Physics 2011-03-30 A. N. Ignatenko , V. Yu. Irkhin , A. A. Katanin

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

Using the spherically symmetric self-consistent Green's function method, we consider thermodynamic properties of the $S=1/2$ $J_1$-$J_2$ Heisenberg model on the 2D square lattice. We calculate the temperature dependence of the spin-spin…

Strongly Correlated Electrons · Physics 2016-08-11 A. V. Mikheyenkov , A. V. Shvartsberg , V. E. Valiulin , A. F. Barabanov

We develop a general framework, which combines exact diagonalization in small clusters with a density matrix variational principle, to study frustrated magnets at finite temperature. This thermodynamic hierarchical mean-field technique is…

Strongly Correlated Electrons · Physics 2012-10-05 L. Isaev , G. Ortiz

Recent studies have revealed that the randomness-induced quantum spin liquid (QSL)-like state is stabilized in certain frustrated quantum magnets in two and three dimensions. In order to clarify the nature of this gapless QSL-like state, we…

Strongly Correlated Electrons · Physics 2021-11-24 Kazuki Uematsu , Toshiya Hikihara , Hikaru Kawamura

We investigate the interplay between frustration and zero-point quantum fluctuations in the ground state of the triangular and $J_1{-}J_2$ Heisenberg antiferromagnets, using finite-size spin-wave theory, exact diagonalization, and quantum…

Strongly Correlated Electrons · Physics 2009-11-07 Luca Capriotti

The thermodynamics of coupled frustrated ferromagnetic chains is studied within a spin-rotation-invariant Green's function approach. We consider an isotropic Heisenberg spin-half system with a ferromagnetic in-chain coupling $J_1<0$ between…

Strongly Correlated Electrons · Physics 2017-04-28 P. Müller , J. Richter , D. Ihle

We investigate magnetic properties of a frustrated Heisenberg antiferromagnet with a face-centered cubic (FCC) lattice and exchange interactions between the nearest- and next-nearest neighbours, J1 and J2. In a collinear phase with the wave…

Strongly Correlated Electrons · Physics 2013-04-15 A. N. Ignatenko , A. A. Katanin , V. Yu. Irkhin

We have studied the static and dynamic magnetic properties of two-dimensional (2D) and quasi-two-dimensional, spin-S, quantum Heisenberg antiferromagnets (QHAF) diluted with spinless vacancies. Using spin-wave theory and T-matrix…

Strongly Correlated Electrons · Physics 2009-11-07 A. L. Chernyshev , Y. C. Chen , A. H. Castro Neto

By applying a quantum Monte Carlo procedure based on the loop algorithm we investigate thermodynamic properties of the two-dimensional antiferromagnetic S=1/2 Heisenberg model coupled to Einstein phonons on the bonds. The temperature…

Strongly Correlated Electrons · Physics 2009-11-10 Carsten H. Aits , Ute Löw
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