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In this paper the entanglement and quantum phase transition of the anisotropic s=1/2 XY model are studied by using the quantum renormalization group method. By solving the renormalization equations, we get the trivial fixed point and the…

Statistical Mechanics · Physics 2015-05-28 Fu-Wu Ma , Sheng-Xin Liu , Xiang-Mu Kong

We investigate entanglement and quantum phase transition (QPT) in a two-dimensional Heisenberg anisotropic spin-1/2 XY model, using quantum renormalization group method (QRG) on a square lattice of $N\times N$ sites. The entanglement…

Quantum Physics · Physics 2017-08-16 M. Usman , Asif Ilyas , Khalid Khan

We have studied occurrence of quantum phase transition in the one-dimensional spin-1/2 Ising model with added Dzyaloshinsky-Moriya (DM) interaction from bi- partite and multi-partite entanglement point of view. Using exact numerical…

Strongly Correlated Electrons · Physics 2015-01-23 Javad Vahedi , Mohammad Reza Soltani , Saeed Mahdavifar

In this article a comparative study of the renormalization of entanglement in one, two and three dimensional space and its relation with quantum phase transition (QPT) near the critical point is presented by implementing the Quantum…

Quantum Physics · Physics 2016-10-05 M. Usman , Asif Ilyas , Khalid Khan

We have studied the phase diagram of the one dimensional XXZ model with Dzyaloshinskii-Moriya (DM) interaction. We have applied the quantum renormalization group (QRG) approach to get the stable fixed points, critical point and the scaling…

Strongly Correlated Electrons · Physics 2008-12-11 R. Jafari , A. Langari

We have studied the phase diagram and entanglement of the one dimensional Ising model with Dzyaloshinskii-Moriya (DM) interaction. We have applied the quantum renormalization group (QRG) approach to get the stable fixed points, critical…

Strongly Correlated Electrons · Physics 2009-11-13 R. Jafari , M. Kargarian , A. Langari , M. Siahatgar

We report all phases and corresponding critical lines of the quantum anisotropic transverse XY model with Dzyaloshinskii-Moriya (DM) interaction along with uniform and alternating transverse magnetic fields (ATXY) by using appropriately…

Quantum Physics · Physics 2019-02-27 Saptarshi Roy , Titas Chanda , Tamoghna Das , Debasis Sadhukhan , Aditi Sen De , Ujjwal Sen

We study a one-dimensional spin-1/2 XXZ Heisenberg model with alternating Dzyaloshinskii- Moriya interaction, using the numerical Lanczos method. Recently, the ground state (GS) phase diagram of this model has been established using the…

Strongly Correlated Electrons · Physics 2020-11-17 F. Khastehdel Fumani , B. Beradze , S. Nemati , S. Mahdavifar , G. I. Japaridze

The quantum renormalization group method is applied to study the quantum criticality and entanglement entropy of the ground state of the Ising chain in the presence of antisymmetric anisotropic couplings and alternating exchange…

Strongly Correlated Electrons · Physics 2012-08-09 Xiang Hao

The quantum coherence of one dimensional planar spin models with the Dzyaloshinsky-Moriya interaction is investigated. The anisotropic XY model, the isotropic XX model and the transverse field model are studied in the large N-limit using…

Quantum Physics · Physics 2017-09-13 Chandrashekar Radhakrishnan , Igor Ermakov , Tim Byrnes

Recently, there has been an increased interest in studying quantum entanglement and quantum coherence. Since both of these properties are attributed to the existence of quantum superposition, it would be useful to determine if some type of…

Strongly Correlated Electrons · Physics 2020-06-29 Sonja Gombar , Petar Mali , Milan Pantic , Milica Pavkov Hrvojevic , Slobodan Radosevic

We study the effect of Dzyaloshinskii-Moriya (DM) interaction on pairwise quantum discord, entanglement, and classical correlation in the anisotropic XY spin-half chain. Analytical expressions for both quantum and classical correlations are…

Quantum Physics · Physics 2015-05-20 Ben-Qiong Liu , Bin Shao , Jun-Gang Li , Jian Zou , Lian-Ao Wu

The dynamics of entanglement in the one-dimensional spin-1/2 anisotropic XXZ model is studied using the quantum renormalization-group method. We obtain the analytical expression of the concurrence, for two different quenching methods, it is…

Statistical Mechanics · Physics 2020-04-09 Han Zhang , Yu-Liang Xu , Rong-Tao Zhang , Zhe Wang , Pan-Pan Fang , Zhong-Qiang Liu , Xiang-Mu Kong

We investigate disentanglement dynamics of two coupled qubits and qutrits which interact uniformly to a general XY spin-chain environment with the Dzyaloshinsky-Moriya (DM) interaction. We obtained exact expression of the time evolution…

Quantum Physics · Physics 2011-11-21 Ming-Liang Hu

We examine thermal quantum correlations characterized by Measurement-Induced Nonlocality (MIN) in an infinite spin-1/2 Ising-Heisenberg spin chain with Dzyaloshinskii-Moriya (DM) interaction. We evaluate MIN analytically in the…

Quantum Physics · Physics 2021-04-05 S. Bhuvaneswari , R. Muthuganesan , R. Radha

We investigate the entanglement dynamics of two interacting qubits in a spin environment, which is described by an XY model with Dzyaloshinsky-Moriya (DM) interaction. The competing effects of environmental noise and interqubit coupling on…

Quantum Physics · Physics 2011-10-06 Wen-Long You , Yu-Li Dong

The two-dimensional (2D) quantum spin-$S=1/2$ $XY$ model with the transverse-field $H$, in-plane-anisotropy $\gamma$, and Dzyaloshinskii-Moriya (DM) $D$ interactions was investigated by means of the exact diagonalization method, which…

Statistical Mechanics · Physics 2025-03-07 Yoshihiro Nishiyama

We investigate the behavior of quantum coherence of the ground states of 2D Heisenberg XY model and 2D Ising model with transverse field on square lattices, by using the method of Quantum Renormalization Group (QRG). We show that the…

Quantum Physics · Physics 2022-08-02 Narjes Taghadomi , Azam Mani , Ali Bakouei

We examine the impact of long-range Dzyaloshinskii-Moriya (DM) interaction in the extended $XY$ model on the phase diagram as well as the static and dynamical properties of quantum and classical correlation functions. It is known that in…

Quantum Physics · Physics 2025-05-06 Tanoy Kanti Konar , Leela Ganesh Chandra Lakkaraju , Aditi Sen De

Using the density-matrix renormalization-group algorithm (DMRG) and a finite-size scaling analysis, we study the properties of the one-dimensional completely-anisotropic spin-1/2 XYZ model with Dzyaloshinsky-Moriya (DM) interactions. The…

Statistical Mechanics · Physics 2014-09-11 Sebastiano Peotta , Leonardo Mazza , Ettore Vicari , Marco Polini , Rosario Fazio , Davide Rossini
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