Using finite-temperature determinant quantum Monte Carlo algorithm, we study the effective pairing susceptibility of different pairing channels in the two-dimensional Hubbard model, to determine the dominant pairing channels in different parameter regimes. At half-filling, we can access low enough temperatures and find the dominant pairing is the $d_{x^2-y^2}$-wave. While in the doping case, we are limited to some finite temperatures due to the sign problem of the determinant quantum Monte Carlo algorithm. When the doping is not very heavy, the dominant pairing channel keeps to be the $d_{x^2-y^2}$-wave. While at low electron densities, the dominant pairing channel switches to the $d_{xy}$-wave. In additional, there's a small region of the $s^{⁎}$-wave pairing at weak interaction strength and close to half-filling. Except for the $s^{⁎}$-wave regime, the interaction strength and the temperature seem to only have slight effect on the dominant pairing channels.

利用有限温度行列式量子蒙特卡洛算法，研究了二维哈伯德模型中不同配对通道的有效配对敏感性，以确定不同参数体制下的主要配对通道。在半填充时，我们可以达到足够低的温度，并发现主要配对是$d_{X^2-{ÿ}^2}$-波。在掺杂情况下，由于行列式量子蒙特卡洛算法的正负号问题，我们被限制在一定的温度范围内。当掺杂不是很重时，主要的配对通道一直是$d_{X^2-{ÿ}^2}$-波。在低电子密度时，主要的配对通道切换到$d_{Xÿ}$-波。此外，在$s^{⁎}$弱的相互作用强度和接近半填充的波配对。除了$s^{⁎}$-波状态，相互作用强度和温度似乎仅对主要配对通道有轻微影响。