Strong Odd Bond - Weak Even Bond Picture in the Half-Filled One-Dimensional Hubbard Model

다국어 초록 (Multilingual Abstract)

We study the strong odd bond - weak even bond picture by measuring the bond energy and the half-chain entanglement entropy in the one-dimensional Hubbard model. By using the infinite density matrix renormalization group with matrix product operator, we obtain the ground state of the matrix product state. As a function of the bond dimension, the bond energy and the half-chain entanglement entropy support the strong odd bond - weak even bond picture. From the expectation values of the occupation number, we numerically observe that the odd - even effect appears only for the half-filling case with a finite bond dimension. Our results confirm that the matrix product operator method is successful in exploring itinerant fermionic systems.

참고문헌 (Reference)

1 C. Yang, 12 : 7433-, 2000

2 J. Eisert, 82 : 277-, 2010

3 S. ¨ Ostlund, 75 : 3537-, 1995

4 U. Schollw¨ock, 326 : 96-, 2011

5 M. Schreiber, 21 : 842-, 2015

6 G. Vidal, 99 : 220405-, 2007

7 D. F. Mross, 84 : 041102-, 2011

8 N. Laflorencie, 96 : 100603-, 2006

9 M. C. Cha, 536 : 701-, 2018

10 D. P´erez-Garc´ıa, 8 : 0650-, 2008

11 I. P. McCulloch, "arXiv:0804.2509"

12 F. H. L. Essler, "The One-Dimensional Hubbard Model" Cambridge University Press 2005

13 S. Sachdev, "Quantum Phase Transitions" Cambridge University Press 2011