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Quantum Integrability of 1D Ionic Hubbard Model
Author(s) -
Hosseinzadeh Abolfath,
Jafari Seyed Akbar
Publication year - 2020
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.201900601
Subject(s) - hubbard model , physics , ionic bonding , quantum , distribution (mathematics) , integrable system , statistical physics , matrix (chemical analysis) , quantum mechanics , mathematical physics , ion , materials science , mathematics , mathematical analysis , superconductivity , composite material
The quantum integrability of the 1D ionic Hubbard model (IHM) is established using two independent numerical methods, namely i) energy level spacing statistics and ii) occupation profile of one‐particle density matrix (OPDM) eigen‐values. Both methods suggest that the 1D IHM is integrable. The calculations of energy level statistics reproduce the known results for the standard Hubbard model. Upon turning on the the ionic term, the energy level spacing distribution of this model continues to obey the Poissonian distribution. Occupation patterns as extracted from OPDM indicate that quasi‐particles are sharpened upon increasing the ionic potential. This is evidenced by a larger jump in the occupation number distribution.