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The thermodynamics of the classical frustrated spin chain near the transition point between the ferromagnetic and the helical phases is studied. The calculation of the partition and spin correlation functions at low temperature limit is…

Statistical Mechanics · Physics 2015-05-19 D. V. Dmitriev , V. Ya. Krivnov

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

We present a new application of the traditional thermodynamic Bethe ansatz to the spin-1/2 antiferromagnetic uniform Heisenberg chain and derive exact nonlinear integral equations for just {\em two} functions describing the elementary…

Condensed Matter · Physics 2010-11-17 A. Klümper , D. C. Johnston

We discuss our numerical results on the properties of the S = 1/2 frustrated J1-J2 Heisenberg model on a square lattice as a function of temperature and frustration angle phi = atan(J2/J1) in an applied magnetic field. We cover the full…

Strongly Correlated Electrons · Physics 2007-06-21 Burkhard Schmidt , Nic Shannon , Peter Thalmeier

Low-temperature thermodynamics of the classical frustrated ferromagnetic spin chain is studied. Using transfer-matrix method we found the behavior of the correlation function and zero-field susceptibility at the ferromagnetic-helical…

Statistical Mechanics · Physics 2010-07-27 D. V. Dmitriev , V. Ya. Krivnov

We investigate the low temperature thermodynamics and correlation functions of one-dimensional spin-1/2 fermions with strong repulsion in an external magnetic field via the thermodynamic Bethe ansatz method. The exact thermodynamics of the…

Quantum Gases · Physics 2013-05-16 J. Y. Lee , X. W. Guan , K. Sakai , M. T. Batchelor

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

The thermodynamics of low dimensional spin-1/2 Heisenberg ferromagnets (HFM) in an external magnetic field is investigated within a second-order two-time Green function formalism in the wide temperature and field range. A crucial point of…

Strongly Correlated Electrons · Physics 2009-11-13 T. N. Antsygina , M. I. Poltavskaya , I. I. Poltavsky , K. A. Chishko

We present numerical and analytical results for the thermodynamical properties of the spin-1/2 Heisenberg chain at arbitrary external magnetic field. Special emphasis is placed on logarithmic corrections in the susceptibility and specific…

Statistical Mechanics · Physics 2009-10-31 A. Klümper

Motivated by recent experiments on low-dimensional frustrated quantum magnets with competing nearest-neighbor exchange coupling J1 and next nearest-neighbor exchange coupling J2 we investigate the magnetic susceptibility of two-dimensional…

Strongly Correlated Electrons · Physics 2014-08-20 J. Richter , A. Lohmann , H. -J. Schmidt , D. C. Johnston

We study the thermodynamics of the spin-$S$ two-dimensional quantum Heisenberg antiferromagnet on the square lattice with nearest ($J_1$) and next-nearest ($J_2$) neighbor couplings in its collinear phase ($J_2/J_1>0.5$), using the…

Strongly Correlated Electrons · Physics 2007-05-23 Luca Capriotti , Tommaso Roscilde , Andrea Fubini , Valerio Tognetti

The hyperkagome-lattice $S=1/2$ Heisenberg ferromagnet is studied by means of the linear spin-wave theory, the double-time temperature Green's function method, high-temperature expansions series analysis, and quantum Monte Carlo simulations…

Strongly Correlated Electrons · Physics 2025-08-26 Maksym Parymuda , Taras Krokhmalskii , Oleg Derzhko

We consider the thermodynamic properties of the quasi-two-dimensional spin-half Heisenberg ferromagnet on the stacked square and the stacked kagom\'e lattices by using the spin-rotation-invariant Green's function method. We calculate the…

Strongly Correlated Electrons · Physics 2009-11-11 D. Schmalfuß , J. Richter , D. Ihle

The $S=1/2$ hyperkagome-lattice Heisenberg antiferromagnet allows to study the interplay of geometrical frustration and quantum as well as thermal fluctuations in three dimensions. We use 16 terms of a high-temperature series expansion…

Strongly Correlated Electrons · Physics 2024-09-04 Taras Hutak , Taras Krokhmalskii , Jürgen Schnack , Johannes Richter , Oleg Derzhko

The thermodynamic properties of S>=1 ferromagnetic chains with an easy-axis single-ion anisotropy are investigated at arbitrary temperatures by both a Green-function approach, based on a decoupling of three-spin operator products, and by…

Strongly Correlated Electrons · Physics 2009-11-11 I. Juhász Junger , D. Ihle , J. Richter

We present a spin-rotation-invariant Green-function theory for the dynamic spin susceptibility in the spin-1/2 antiferromagnetic Heisenberg model on a stacked honeycomb lattice. Employing a generalized mean-field approximation for arbitrary…

Strongly Correlated Electrons · Physics 2017-03-27 A. A. Vladimirov , D. Ihle , N. M. Plakida

The magnetic susceptibility chi and specific heat C versus temperature T of the spin-1/2 antiferromagnetic alternating-exchange (J1 and J2) Heisenberg chain are studied for the entire range 0 \leq alpha \leq 1 of the alternation parameter…

Strongly Correlated Electrons · Physics 2010-11-12 D. C. Johnston , R. K. Kremer , M. Troyer , X. Wang , A. Klümper , S. L. Bud'ko , A. F. Panchula , P. C. Canfield

The magnetic and thermodynamic properties of spin-1/2 Heisenberg diamond chains are investigated in three different cases: (a) J1, J2, J3>0 (frustrated); (b) J1, J3<0, J2>0 (frustrated); and (c) J1, J2>0, J3<0 (non-frustrated). The density…

Strongly Correlated Electrons · Physics 2009-11-13 Bo Gu , Gang Su

We study the frustrated J1-J2 Heisenberg model with ferromagnetic nearest neighbor coupling J1<0 and antiferromagnetic next-nearest neighbor coupling J2>0 at and close to the z=4 quantum critical point (QCP) at J1/J2=-4. The J1-J2 model…

Strongly Correlated Electrons · Physics 2011-10-13 J. Sirker , V. Y. Krivnov , D. V. Dmitriev , A. Herzog , O. Janson , S. Nishimoto , S. -L. Drechsler , J. Richter

Thermodynamic properties of the quantum Heisenberg spin chains with S = 1/2, 1, and 3/2 are investigated using the transfer-matrix renormalization-group method. The temperature dependence of the magnetization, susceptibility, specific heat,…

Strongly Correlated Electrons · Physics 2009-10-31 Tao Xiang