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Exact diagonalization of finite spin-1/2 chains with periodic boundary conditions is applied to the ground state (gs) of chains with ferromagnetic (F) exchange $J_1 < 0$between first neighbors, antiferromagnetic (AF) exchange $J_2 = \alpha…

Strongly Correlated Electrons · Physics 2012-05-15 Manoranjan Kumar , Zoltán G. Soos

In this contribution we review the theory of integrability of quantum systems in one spatial dimension. We introduce the basic concepts such as the Yang-Baxter equation, commuting currents, and the algebraic Bethe ansatz. Quite extensively…

Strongly Correlated Electrons · Physics 2009-11-11 Andreas Klümper

We study the equilibrium properties of the spin-$1/2$ XY chain with an infinite-range transverse interaction. At zero temperature, competition between the XY- and the $z$-ordered phases induced by the infinite-range interactions gives rise…

Statistical Mechanics · Physics 2023-10-17 Bojan Žunkovič , Pedro Ribeiro

We study a class of integrable alternating (S1,S2) quantum spin chains with critical ground state properties. Our main result is the description of the thermal Drude weight of the one-dimensional alternating spin chain as a function of…

Statistical Mechanics · Physics 2011-09-19 G. A. P. Ribeiro , N. Crampe , A. Klümper

Zero temperature phase diagram of XXZ spin chain in external magnetic field is investigated at low energies using path integral approach.It has been shown by spin wave analysis and then by nonlinear sigma model transformation that below…

Strongly Correlated Electrons · Physics 2007-05-23 B. Roostaei

We revisit the problem of the spin-Peierls instability in a one dimensional spin-1/2 chain coupled to phonons. The phonons are treated within the mean field approximation. We use bosonization techniques to describe the gapped spin chain and…

Superconductivity · Physics 2007-05-23 E. Orignac , R. Chitra

Heisenberg spin-1/2 chain materials are known to substantially alter their static and dynamic properties when experiencing an effective transverse staggered field originating from the varying local environment of the individual spins. We…

Strongly Correlated Electrons · Physics 2016-11-26 F. Casola , T. Shiroka , V. Glazkov , A. Feiguin , G. Dhalenne , A. Revcolevschi , A. Zheludev , H. -R. Ott , J. Mesot

We investigate the transfer of genuine multipartite entanglement across a spin-1/2 chain with nearest-neighbor XX-type interaction. We focus on the perturbative regime, where a block of spins is weakly coupled at each edge of a quantum…

Quantum Physics · Physics 2020-04-10 Tony J. G. Apollaro , Claudio Sanavio , Wayne Jordan Chetcuti , Salvatore Lorenzo

We study the low-energy properties of a Heisenberg spin-1/2 zigzag ladder with different exchange constants on the two chains. Using a nonlinear sigma-model field theory and abelian bosonization, we find that the excitations are gapless,…

Strongly Correlated Electrons · Physics 2009-11-07 Sujit Sarkar , Diptiman Sen

Within the conventional framework of standard linear response theory we have derived exact results for the initial static susceptibilities of nonuniform spin-1/2 Ising chains. The results obtained permit one to study regularly…

Statistical Mechanics · Physics 2009-10-31 Oleg Derzhko , Oles' Zaburannyi , J. W. Tucker

We consider the easy-plane anisotropic spin-1/2 Heisenberg chain in combined uniform longitudinal and transverse staggered magnetic fields. The low-energy limit of his model is described by the sine-Gordon quantum field theory. Using…

Strongly Correlated Electrons · Physics 2009-01-06 Igor Kuzmenko , Fabian H. L. Essler

We study the dynamics of entanglement in the one-dimensional spin-1/2 XY model in the presence of a transverse magnetic field. A pair of spins are considered as an open quantum system, while the rest of the chain plays the role of the…

Statistical Mechanics · Physics 2019-10-22 Z. Saghafi , Z. Shadman , E. Hosseini Lapasar , S. Mahdavifar

We study quantum communication through an anisotropic Heisenberg XY chain in a transverse magnetic field. We find that for some time $t$ and anisotropy parameter $\gamma$, one can transfer a state with a relatively high fidelity. In the…

Quantum Physics · Physics 2009-11-13 Z. -M. Wang , M. S. Byrd , B. Shao , J. Zou

A few paradigmatic one-dimensional lattice-statistical spin models have recently attracted a vigorous scientific interest owing to their peculiar thermodynamic behavior, which is highly reminiscent of a temperature-driven phase transition.…

Statistical Mechanics · Physics 2020-08-17 Jozef Strecka

In this study, we investigate pairwise non-classical correlations measured using a one-way quantum deficit as well as quantum coherence in the $XY$ spin-1/2 chain in a transverse magnetic field for both zero and finite temperatures. The…

Quantum Physics · Physics 2017-02-13 Biao-Liang Ye , Bo Li , Li-Jun Zhao , Hai-Jun Zhang , Shao-Ming Fei

We investigate the presence of multipartite entanglement in macroscopic spin chains. We discuss the Heisenberg and the XY model and derive bounds on the internal energy for systems without multipartite entanglement. Based on this we show…

Quantum Physics · Physics 2007-05-23 Otfried Guehne , Geza Toth , Hans J. Briegel

Quantum phase transition in dimerized antiferromagnetic Heisenberg spin chain has been studied. A staircase structure in the variation of concurrence within strongly coupled pairs with that of external magnetic field has been observed…

Quantum Physics · Physics 2015-03-31 Aparajita Das , Sreeparna Bhadra , Sonali Saha

The magnetization behavior of q-periodic antiferromagnetic spin 1/2 Heisenberg chains under uniform magnetic fields is investigated in a background of disorder exchange distributions. By means of both real space decimation procedures and…

Strongly Correlated Electrons · Physics 2009-10-31 D. C. Cabra , A. De Martino , M. D. Grynberg , S. Peysson , P. Pujol

The physics of quantum dots is succinctly depicted by the {\it Universal Hamiltonian}, where only zero mode interactions are included. In the case where the latter involve charging and isotropic spin-exchange terms, this would lead to a…

Mesoscale and Nanoscale Physics · Physics 2011-08-29 Boaz Nissan-Cohen , Yuval Gefen , Mikhail N. Kiselev , Igor V. Lerner

We investigate the long-distance asymptotic behavior of the dimer correlations in the spin-1/2 alternating $XY$chain both at T=0 and at sufficiently low-temperatures. The correlations consist of the dimer long-range order part and the…

Condensed Matter · Physics 2007-05-23 Yohei Saika , Kiyomi Okamoto