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Matrix product state approach to the finite-size scaling properties of the one-dimensional critical quantum Ising model

Title
Matrix product state approach to the finite-size scaling properties of the one-dimensional critical quantum Ising model
Author
차민철
Keywords
Matrix product states; Quantum phase transition; Finite-size scaling; RENORMALIZATION-GROUP
Issue Date
2015-11
Publisher
KOREAN PHYSICAL SOC
Citation
JOURNAL OF THE KOREAN PHYSICAL SOCIETY, v. 67, No. 9, Page. 1619-1623
Abstract
We investigate the finite-size scaling properties of the quantum phase transition in the one-dimensional quantum Ising model with periodic boundary conditions by representing the ground state in matrix product state forms. The infinite time-evolving block decimation technique is used to optimize the states. A trace over a product of the matrices multiplied as many times as the number of sites yields the finite-size effects. For sufficiently large Schmidt ranks, the finite-size scaling behavior determines the critical point and the critical exponents whose values are consistent with the analytical results.
URI
https://link.springer.com/article/10.3938/jkps.67.1619http://hdl.handle.net/20.500.11754/40926
ISSN
0374-4884; 1976-8524
DOI
10.3938/jkps.67.1619
Appears in Collections:
COLLEGE OF SCIENCE AND CONVERGENCE TECHNOLOGY[E](과학기술융합대학) > PHOTONICS AND NANOELECTRONICS(나노광전자학과) > Articles
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