Quantum critical behavior of the quantum Ising model on fractal lattices
- Authors
- Yi, Hangmo
- Issue Date
- 9-Jan-2015
- Publisher
- AMER PHYSICAL SOC
- Citation
- PHYSICAL REVIEW E, v.91, no.1
- Journal Title
- PHYSICAL REVIEW E
- Volume
- 91
- Number
- 1
- URI
- http://scholarworks.bwise.kr/ssu/handle/2018.sw.ssu/8822
- DOI
- 10.1103/PhysRevE.91.012118
- ISSN
- 1539-3755
- Abstract
- I study the properties of the quantum critical point of the transverse-field quantum Ising model on various fractal lattices such as the Sierpinski carpet, Sierpinski gasket, and Sierpinski tetrahedron. Using a continuous-time quantum Monte Carlo simulation method and finite-size scaling analysis, I identify the quantum critical point and investigate its scaling properties. Among others, I calculate the dynamic critical exponent and find that it is greater than one for all three structures. The fact that it deviates from one is a direct consequence of the fractal structures not being integer-dimensional regular lattices. Other critical exponents are also calculated. The exponents are different from those of the classical critical point and satisfy the quantum scaling relation, thus confirming that I have indeed found the quantum critical point. I find that the Sierpinski tetrahedron, of which the dimension is exactly 2, belongs to a different universality class than that of the two-dimensional square lattice. I conclude that the critical exponents depend on more details of the structure than just the dimension and the symmetry.
- Files in This Item
-
Go to Link
- Appears in
Collections - College of Natural Sciences > Department of Physics > 1. Journal Articles
![qrcode](https://api.qrserver.com/v1/create-qr-code/?size=55x55&data=https://scholarworks.bwise.kr/ssu/handle/2018.sw.ssu/8822)
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.