Quantum spin dynamics of the transverse Ising model in two dimensions

João Florencio; Surajit Sen; Zhi Xiong Cai

doi:10.1007/BF00694087

Quantum spin dynamics of the transverse Ising model in two dimensions

João Florencio
, Surajit Sen
, Zhi Xiong Cai

Physics

University at Buffalo

Pennsylvania State University
Brookhaven National Laboratory

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

We use the method of recurrence relations to obtain the time-dependent spin correlation function of the Ising model in a transverse field in 2D. We find that the correlation function decays algebraically at long times as t_-α where α ≤2.2. This is to be contrasted with the 1D case where the decay is Gaussian. We expect that in 3D the dynamical correlation will also exhibit a power law decay. Our results can be used to understand the experimental shape functions for the induced moment in LiTb_pY_1-pF₄.

Original language	English
Pages (from-to)	561-564
Number of pages	4
Journal	Journal of Low Temperature Physics
Volume	89
Issue number	3-4
DOIs	https://doi.org/10.1007/BF00694087
State	Published - Nov 1992

Access to Document

10.1007/BF00694087

Cite this

@article{1ea36d6d43fe4ec9adf817556682fca9,

title = "Quantum spin dynamics of the transverse Ising model in two dimensions",

abstract = "We use the method of recurrence relations to obtain the time-dependent spin correlation function of the Ising model in a transverse field in 2D. We find that the correlation function decays algebraically at long times as t-α where α ≤2.2. This is to be contrasted with the 1D case where the decay is Gaussian. We expect that in 3D the dynamical correlation will also exhibit a power law decay. Our results can be used to understand the experimental shape functions for the induced moment in LiTbpY1-pF4.",

author = "Jo{\~a}o Florencio and Surajit Sen and Cai, \{Zhi Xiong\}",

year = "1992",

month = nov,

doi = "10.1007/BF00694087",

language = "English",

volume = "89",

pages = "561--564",

journal = "Journal of Low Temperature Physics",

issn = "0022-2291",

publisher = "Springer",

number = "3-4",

}

TY - JOUR

T1 - Quantum spin dynamics of the transverse Ising model in two dimensions

AU - Florencio, João

AU - Sen, Surajit

AU - Cai, Zhi Xiong

PY - 1992/11

Y1 - 1992/11

N2 - We use the method of recurrence relations to obtain the time-dependent spin correlation function of the Ising model in a transverse field in 2D. We find that the correlation function decays algebraically at long times as t-α where α ≤2.2. This is to be contrasted with the 1D case where the decay is Gaussian. We expect that in 3D the dynamical correlation will also exhibit a power law decay. Our results can be used to understand the experimental shape functions for the induced moment in LiTbpY1-pF4.

AB - We use the method of recurrence relations to obtain the time-dependent spin correlation function of the Ising model in a transverse field in 2D. We find that the correlation function decays algebraically at long times as t-α where α ≤2.2. This is to be contrasted with the 1D case where the decay is Gaussian. We expect that in 3D the dynamical correlation will also exhibit a power law decay. Our results can be used to understand the experimental shape functions for the induced moment in LiTbpY1-pF4.

UR - https://www.scopus.com/pages/publications/30244555353

U2 - 10.1007/BF00694087

DO - 10.1007/BF00694087

M3 - Article

SN - 0022-2291

VL - 89

SP - 561

EP - 564

JO - Journal of Low Temperature Physics

JF - Journal of Low Temperature Physics

IS - 3-4

ER -

Quantum spin dynamics of the transverse Ising model in two dimensions

Abstract

Access to Document

Other files and links

Fingerprint

Cite this