TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.16.4.107
TI  - Effect of next-nearest neighbor hopping on the single-particle excitations at finite temperature
PY  - 2024/04/22
UR  - https://www.scipost.org/SciPostPhys.16.4.107
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 16
IS  - 4
SP  - 107
A1  - Rashid, Harun Al
AU  - Singh, Dheeraj  Kumar
AB  - In the half-filled one-orbital Hubbard model on a square lattice, we study the effect of next-nearest neighbor hopping on the single-particle spectral function at finite temperature using an exact-diagonalization + Monte-Carlo based approach to the simulation process. We find that the pseudogap-like dip, existing in the density of states in between the Néel temperature $T_N$ and a relatively higher temperature scale $T^*$, is accompanied with a significant asymmetry in the hole- and particle-excitation energy along the high-symmetry directions as well as along the normal-state Fermi surface. On moving from ($\pi/2, \pi/2$) toward $(\pi, 0)$ along the normal state Fermi surface, the hole-excitation energy increases, a behavior remarkably similar to what is observed in the $d$-wave state and pseudogap phase of high-$T_c$ cuprates, whereas the particle-excitation energy decreases. The quasiparticle peak height is the largest near ($\pi/2, \pi/2$) whereas it is the smallest near $(\pi, 0)$. These spectral features survive beyond $T_N$. The temperature window $T_N \lesssim T \lesssim T^*$ shrinks with an increase in the next-nearest neighbor hopping, which indicates that the next-nearest neighbor hopping may not be supportive to the pseudogap-like features.
ER  -

@Article{10.21468/SciPostPhys.16.4.107,
	title={{Effect of next-nearest neighbor hopping on the single-particle excitations at finite temperature}},
	author={Harun Al Rashid and Dheeraj Kumar Singh},
	journal={SciPost Phys.},
	volume={16},
	pages={107},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.16.4.107},
	url={https://scipost.org/10.21468/SciPostPhys.16.4.107},
}