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We show that Quantum-Monte-Carlo calculations of the dynamic structure factor of the isotropic spin-1/2 antiferromagnetic chain at intermediate temperatures corroborate a picture of diffusive spin dynamics at finite frequencies in the…

Strongly Correlated Electrons · Physics 2013-05-29 Simon Grossjohann , Wolfram Brenig

We evaluate numerically certain multiple integrals representing nearest and next-nearest neighbor correlation functions of the spin-1/2 $XXZ$ Heisenberg infinite chain at finite temperatures.

Statistical Mechanics · Physics 2009-11-11 Michael Bortz , Frank Göhmann

We compute the von Neumann and generalized R\'{e}nyi entanglement entropies in the ground-state of the spin-1/2 antiferromagnetic Heisenberg model on the square lattice using the modified spin-wave theory for finite lattices. The addition…

Strongly Correlated Electrons · Physics 2011-07-06 H. Francis Song , Nicolas Laflorencie , Stephan Rachel , Karyn Le Hur

A nonlinear susceptibilities (the third derivative of a magnetization $m_S$ by a magnetic field $h$ ) of the $S$=1/2 ferromagnetic Heisenberg chain and the classical Heisenberg chain are calculated at low temperatures $T.$ In both chains…

Condensed Matter · Physics 2015-06-25 H. Nakamure , M. Takahashi

A linear spin-wave approach, a variational method and exact diagonlization are used to investigate the magnetic long-range order (LRO) of the spin-1/2 Heisenberg antiferromagnet on a two-dimensional 1/7-depleted triangular (maple leaf)…

Strongly Correlated Electrons · Physics 2009-11-07 D. Schmalfuss , P. Tomczak , J. Schulenburg , J. Richter

We analyse the low-temperature behaviour of the Heisenberg model on a two-dimensional lattice of finite size. Presence of a residual magnetisation in a finite-size system enables us to use the spin wave approximation, which is known to give…

High Energy Physics - Theory · Physics 2008-11-26 Oleksandr Kapikranian , Bertrand Berche , Yurij Holovatch

The diagram technique for the one-band Hubbard model is formulated for the case of moderate to strong Hubbard repulsion. The expansion in powers of the hopping constant is expressed in terms of site cumulants of electron creation and…

Strongly Correlated Electrons · Physics 2009-11-11 A. Sherman

We simulated the field-dependent magnetization m(H,T) and the uniform susceptibility \chi(H,T) of classical Heisenberg antiferromagnets in the chain and square-lattice geometry using Monte Carlo methods. The results confirm the singular…

Statistical Mechanics · Physics 2008-05-10 D. Hinzke , U. Nowak , D. A. Garanin

The density-matrix renormalization-group technique is used to calculate the spin correlation functions <S^x_jS^x_k> and <S^z_jS^z_k> of the one-dimensional S=1/2 XXZ model in the gapless regime. The numerical results for open chains of 200…

Statistical Mechanics · Physics 2009-10-31 T. Hikihara , A. Furusaki

With a super-high-efficient numerical algorithm, we are able to self-consistently calculate the Green's function in the renormalized-ring-diagram approximation for a two-dimensional electron system with long-range Coulomb interactions. The…

Strongly Correlated Electrons · Physics 2011-11-09 Xin-Zhong Yan , C. S. Ting

We analyse the ground-state energy and correlation energy of the Heisenberg model as a function of spin, both in the ferromagnetic and in the antiferromagnetic case, and in one, two and three dimensions. First, we present a comparative…

Materials Science · Physics 2009-11-10 Valter L. Libero , K. Capelle

We make a modified spin-wave description of the nuclear spin relaxation in Heisenberg alternating-spin chains with antiferromagnetic exchange coupling. In contrast with the conventional one-dimensional antiferromagnetic spin-wave theory,…

Statistical Mechanics · Physics 2009-10-31 Shoji Yamamoto

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

The magnon Hedin's equations are derived via the Schwinger functional derivative technique, and the resulting self-consistent Green's function method is used to calculate ground state spin patterns and magnetic structure factors for…

Strongly Correlated Electrons · Physics 2022-11-30 Zhen Zhao , Claudio Verdozzi , Ferdi Aryasetiawan

After decades of debate, now there is a rough consensus that at zero temperature the spin-$1/2$ Heisenberg antiferromagnet on the triangular lattice is three-sublattice $120^\circ$ magnetically ordered, in contrast to a quantum spin liquid…

Strongly Correlated Electrons · Physics 2024-06-19 Qian Li , Hong Li , Jize Zhao , Hong-Gang Luo , Z. Y. Xie

Second-order spin-wave expansions are used to compute the ground-state energy and sublattice magnetizations of the quantum one-dimensional Heisenberg ferrimagnet with nearest-neighbor antiferromagnetic interactions and two types of…

Strongly Correlated Electrons · Physics 2009-10-30 N. B. Ivanov

We slightly strengthen an operator inequality identified by Correggi et al. that lower bounds the energy of a Heisenberg-coupled graph of $s=1/2$ spins using the total spin. In particular, $\Delta H \ge C \Delta\vec{S}^2$ for a…

Quantum Physics · Physics 2023-02-23 Daniel Ranard , C. Jess Riedel

We address the coherence of the dynamics of spin-currents with components transverse to an external magnetic field for the spin-1/2 Heisenberg chain. We study current autocorrelations at finite temperatures and the real-time dynamics of…

Strongly Correlated Electrons · Physics 2011-06-10 R. Steinigeweg , S. Langer , F. Heidrich-Meisner , I. P. McCulloch , W. Brenig

We introduce a novel parametrization scheme for the Hilbert space of a spin-1/2 Heisenberg antiferromagnet (AFM) based on an octapartite description of the square lattice. Our formulation provides an efficient yet systematic way to model…

Strongly Correlated Electrons · Physics 2011-09-14 Bayo Lau , Mona Berciu , George A. Sawatzky

Using the density-matrix renormalization-group technique we study the long-wavelength properties of the spin S=3/2 nearest-neighbor Heisenberg chain. We obtain an accurate value for the spin velocity v=3.8+- 0.02, in agreement with…

Condensed Matter · Physics 2009-10-28 K. Hallberg , X. Q. G. Wang , P. Horsch , A. Moreo