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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

A systematic study of fractional revival at two sites in $XX$ quantum spin chains is presented and analytic models with this phenomenon are exhibited. The generic models have two essential parameters and a revival time that does not depend…

Mathematical Physics · Physics 2016-07-20 Vincent X. Genest , Luc Vinet , Alexei Zhedanov

We study two similar spin ladder systems with the ferromagnetic leg coupling. First model includes two sorts of spins, s= 1/2 and s= 1, and the second model comprises only s=1/2 legs coupled by a "triangular" rung exchange. The…

Strongly Correlated Electrons · Physics 2007-05-23 D. N. Aristov , M. N. Kiselev

The ground state of the uniform antiferromagnetic spin-1/2 Heisenberg chain can be viewed as a strongly fluctuating liquid of valence bonds, while in disordered chains these bonds lock into random singlet states on long length scales. We…

Disordered Systems and Neural Networks · Physics 2011-10-18 Huan Tran , N. E. Bonesteel

We study a class of spin-1/2 quantum antiferromagnetic chains using DMRG technique. The exchange interaction in these models decreases linearly as a function of the separation between the spins, $J_{ij} = R-|i-j|$ for $|i-j| \le R$. For the…

Strongly Correlated Electrons · Physics 2013-03-04 Bimla Danu , Brijesh Kumar , Ramesh V. Pai

The magnetization process of the one-dimensional antiferromagnetic Heisenberg model with the Ising-like anisotropic exchange interaction is studied by the exact diagonalization technique. It results in the evidence of the first-order spin…

Statistical Mechanics · Physics 2009-10-31 Toru Sakai , Minoru Takahashi

Recent developments of high-order CCM have been to extend existing formalism and codes to $s \ge \frac 12$ for both the ground and excited states. In this article, we describe how "generalised" expectation values for a wide range of one-…

Strongly Correlated Electrons · Physics 2009-11-30 D. J. J. Farnell

We perform a systematic DMRG investigation of the two natural spin-1 generalizations of the spin-1/2 Majumdar-Ghosh chain, the spin-1 $J_1-J_2$ Heisenberg chain, where $J_2$ is a next-nearest neighbor Heisenberg coupling, and the spin-1…

Strongly Correlated Electrons · Physics 2019-09-24 Natalia Chepiga , Frédéric Mila

Functional renormalization group (FRG) has become a diverse and powerful tool to derive effective low-energy scattering vertices of interacting many-body systems. Starting from a non-interacting expansion point of the action, the flow of…

Strongly Correlated Electrons · Physics 2014-01-22 Johannes Reuther , Ronny Thomale

In random quantum magnets, like the random transverse Ising chain, the low energy excitations are localized in rare regions and there are only weak correlations between them. It is a fascinating question whether these correlations are…

Disordered Systems and Neural Networks · Physics 2021-08-18 István A. Kovács , Tamás Pető , Ferenc Iglói

We study one-magnon excitations in a random ferromagnetic Heisenberg chain with long-range correlations in the coupling constant distribution. By employing an exact diagonalization procedure, we compute the localization length of all…

Disordered Systems and Neural Networks · Physics 2009-11-07 Rodrigo P. A. Lima , Marcelo L. Lyra , Elton M. Nascimento , Antonio D. de Jesus

We explore the physics of a spin-1/2 Heisenberg chain with Kondo interaction, $J_k$, to a two-dimensional electron gas. At weak $J_k$ the problem maps onto a Heisenberg chain locally coupled to a dissipative Ohmic bath. At the decoupled…

Strongly Correlated Electrons · Physics 2022-11-24 Bimla Danu , Matthias Vojta , Tarun Grover , Fakher F. Assaad

The antiferromagnetic Heisenberg model on a chain with nearest and next nearest neighbor couplings is mapped onto the $SO(3)$ nonlinear sigma model in the continuum limit. In one spatial dimension this model is always in its disordered…

Condensed Matter · Physics 2009-10-22 D. Allen , D. Senechal

We investigate the behavior of antiferromagnetic integer-spin chains in a staggered magnetic field, by means of the density-matrix renormalization group, carefully addressing the role of finite-size effects within the Haldane phase at small…

Strongly Correlated Electrons · Physics 2007-08-07 M. Capone , S. Caprara

The ground state phase diagram of the alternating spin-1/2 chains with anisotropic ferromagnetic coupling under the influence of a symmetry breaking transverse magnetic field is studied. We have used the exact diagonalization technique. In…

Strongly Correlated Electrons · Physics 2008-03-31 Saeed Mahdavifar , Alireza Akbari

We use the density matrix renormalization group method (DMRG) to compute the frequency and momentum resolved spin-spin correlation functions of a dimerized spin-1/2 chain under a magnetic field at finite temperature. The spectral features…

Strongly Correlated Electrons · Physics 2018-10-09 Emanuele Coira , Peter Barmettler , Thierry Giamarchi , Corinna Kollath

We study weakly coupled antiferromagnetic spin chains in their ordered phase by combinining an exact solution of the single-chain problem with an RPA analysis of the interchain interaction. A single chain is described by a quantum…

Strongly Correlated Electrons · Physics 2009-10-30 Fabian H. L. Essler , Alexei M. Tsvelik , Gesulado Delfino

We construct a field-theoretic description of two coupled spin-1 Heisenberg chains, starting with the known representation of a single spin-1 chain in terms of Majorana fermions (or Ising models). After reexamining the bosonization rules…

Strongly Correlated Electrons · Physics 2009-10-31 D. Allen , D. Sénéchal

A multi-chain mean-field theory is developed and applied to a two-dimensional system of weakly coupled S=1/2 Heisenberg chains. The environment of a chain C_0 is modeled by a number of neighbor chains C_d, d = +/-1,...,+/-n, with the edge…

Strongly Correlated Electrons · Physics 2009-10-31 Anders W. Sandvik

Spin-1/2 Heisenberg antiferromagnetic chains are excellent one-dimensional platforms for exploring quantum magnetic states and quasiparticle fractionalization. Understanding its quantum magnetism and quasiparticle excitation at the atomic…

Mesoscale and Nanoscale Physics · Physics 2025-02-24 Xuelei Su , Zhihao Ding , Ye Hong , Nan Ke , KaKing Yan , Can Li , Yifan Jiang , Ping Yu
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