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Jordan-Wigner transformation and Bogolyubov transformation are the main steps of the diagonalization of Hamiltonian and paly an important role in the statistical mechanics calculations for one-dimensional Heisenberg spin chain model. Many…

Quantum Physics · Physics 2009-05-13 Chuan-Jia Shan , Wei-Wen Cheng , Ji-Bing Liu , Tang-Kun Liu , Yan-Xia Huang , Hong Li

The dynamical properties of the S=1/2 antiferromagnetic XXZ chain are studied by the exact diagonalization and the recursion method of finite systems up to 24 sites. Two types of the exchange interaction are considered: one is the…

Strongly Correlated Electrons · Physics 2009-10-31 Yasuhiro Saiga , Yoshio Kuramoto

We calculate exactly the density of magnon states of the regularly alternating spin-1/2 XX chain with Dzyaloshinskii-Moriya interaction. The obtained results permit us to examine the stability of the chain with respect to spin-Peierls…

Condensed Matter · Physics 2007-05-23 O. Derzhko , J. Richter , O. Zaburannyi

This work is a sequel to our work "The Spin Density Matrix I: General Theory and Exact Master Equations" (eprint arXiv:0708.0644 [cond-mat]). Here we compare pure- and pseudo-spin dynamics using as an example a system of two quantum dots, a…

Strongly Correlated Electrons · Physics 2009-11-13 Sharif D. Kunikeev , Daniel A. Lidar

We examine numerically the dynamics of zz correlations in the spin-1/2 isotropic XY chain with random intersite coupling and on-site transverse field that depends linearly on the neighbouring couplings (correlated off-diagonal and diagonal…

Condensed Matter · Physics 2007-05-23 Oleg Derzhko , Taras Krokhmalskii

We study the magnetic properties of two types of one dimensional XX spin 1/2 chains. The first type has only nearest neighbor interactions which can be either antiferromagnetic or ferromagnetic and the second type which has both nearest…

Disordered Systems and Neural Networks · Physics 2009-02-26 C. A. Lamas , D. C. Cabra , M. D. Grynberg , G. L. Rossini

We investigate how the transition from integrability to nonintegrability occurs by changing the parameters of the Hamiltonian of a Heisenberg spin-1/2 chain with defects. Randomly distributed defects may lead to quantum chaos. A similar…

Condensed Matter · Physics 2009-11-10 L. F. santos

We study a Yang-Baxter integrable quantum spin-1/2 chain with random interactions. The Hamiltonian is local and involves two and three-spin interactions with random parameters. We show that the energy eigenstates of the model are never…

Disordered Systems and Neural Networks · Physics 2018-09-27 Fabian H. L. Essler , Rianne van den Berg , Vladimir Gritsev

Driving a quantum system periodically in time can profoundly alter its long-time dynamics and trigger topological order. Such schemes are particularly promising for generating non-trivial energy bands and gauge structures in quantum-matter…

Quantum Gases · Physics 2015-06-11 N. Goldman , J. Dalibard

We analysed the ground state energy of some dimerized spin-1/2 transverse XX and Heisenberg chains with Dzyaloshinskii-Moriya (DM) interaction to study the influence of the latter interaction on the spin-Peierls instability. We found that…

Condensed Matter · Physics 2009-10-31 O. Derzhko , J. Richter , O. Zaburannyi

S=1/2 quantum spin chains and ladders with random exchange coupling are studied by using an effective low-energy field theory and transfer matrix methods. Effects of the nonlocal correlations of exchange couplings are investigated…

Disordered Systems and Neural Networks · Physics 2007-05-23 K. Takeda , I. Ichinose

The random antiferromagnetic spin-1/2 XX and XXZ chain is studied numerically for varying strength of the disorder, using exact diagonalization and stochastic series expansion methods. The spin-spin correlation function as well as the…

Strongly Correlated Electrons · Physics 2009-11-10 Nicolas laflorencie , Heiko Rieger , Anders W. Sandvik , Patrik Henelius

The Jordan-Wigner transformation is applied to study magnetic properties of the quantum spin-1/2 $XX$ model on the diamond chain. Generally, the Hamiltonian of this quantum spin system can be represented in terms of spinless fermions in the…

Strongly Correlated Electrons · Physics 2011-05-09 Taras Verkholyak , Jozef Strecka , Michal Jascur , Johannes Richter

Random matrix ensembles are introduced that respect the local tensor structure of Hamiltonians describing a chain of $n$ distinguishable spin-half particles with nearest-neighbour interactions. We prove a central limit theorem for the…

Mathematical Physics · Physics 2017-06-19 J. P. Keating , N. Linden , H. J. Wells

We study the spin-1 pyrochlore material NaCaNi$_2$F$_7$ with a combination of molecular dynamics simulations, stochastic dynamical theory and linear spin wave theory. The dynamical structure factor from inelastic neutron scattering is well…

Strongly Correlated Electrons · Physics 2019-05-01 Shu Zhang , Hitesh J. Changlani , Kemp W. Plumb , Oleg Tchernyshyov , Roderich Moessner

We present results on the low-frequency dynamical and transport properties of random quantum systems whose low temperature ($T$), low-energy behavior is controlled by strong disorder fixed points. We obtain the momentum and frequency…

Disordered Systems and Neural Networks · Physics 2009-10-31 Olexei Motrunich , Kedar Damle , David A. Huse

We consider the spin-1/2 XY chain in a transverse field with regularly varying exchange interactions and on-site fields. In two limiting cases of the isotropic XX and extremely anisotropic (Ising) exchange interaction the thermodynamic…

Condensed Matter · Physics 2009-11-07 Oleg Derzhko

Using quantum Monte Carlo simulations along with higher-order spin-wave theory, bond-operator and strong-coupling expansions, we analyse the dynamical spin structure factor of the spin-half Heisenberg model on the square-lattice bilayer. We…

Strongly Correlated Electrons · Physics 2016-01-06 M. Lohöfer , T. Coletta , D. G. Joshi , F. F. Assaad , M. Vojta , S. Wessel , F. Mila

Harnessing power-law interactions ($1/r^\alpha$) in a large variety of physical systems are increasing. We study the dynamics of chiral spin chains as a possible multi-directional quantum channel. This arises from the nonlinear character of…

Strongly Correlated Electrons · Physics 2022-06-13 Javad Vahedi

The spin dynamics of the prototypical quasi one-dimensional antiferromagnetic Heisenberg spin S=1/2 chain KCuF3 is investigated by electron spin resonance spectroscopy. Our analysis shows that the peculiarities of the spin dynamics require…

Strongly Correlated Electrons · Physics 2009-11-13 M. V. Eremin , D. V. Zakharov , H. -A. Krug von Nidda , R. M. Eremina , A. Shuvaev , A. Pimenov , P. Ghigna , J. Deisenhofer , A. Loidl