Thermal-contact capacity of one-dimensional attractive Gaudin—Yang model
Xiao-Min Zhang(张小敏)1, Song Cheng(程颂)2,†, and Yang-Yang Chen(陈洋洋)1,3,4,‡
1 Institute of Modern Physics, Northwest University, Xi'an 710069, China; 2 Beijing Computational Science Research Center, Beijing 100193, China; 3 Peng Huanwu Center for Fundamental Theory, Northwest University, Xi'an 710069, China; 4 Shaanxi Key Laboratory for Theoretical Physics Frontiers, Northwest University, Xi'an 710069, China
Abstract Tan's contact is an important quantity measuring the two-body correlations at short distances in a dilute system. Here we make use of the technique of exactly solved models to study the thermal-contact capacity , i.e., the derivative of with respect to temperature in the attractive Gaudin—Yang model. It is found that is useful in identifying the low temperature phase diagram, and using the obtained analytical expression of , we study its critical behavior and the scaling law. Especially, we show versus temperature and thus the non-monotonic tendency of in a tiny interval, for both spin-balanced and imbalanced phases. Such a phenomenon is merely observed in multi-component systems such as Fermi gases and spinor bosons, indicating the crossover from the Tomonaga—Luttinger liquid to the spin-coherent liquid.
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 12104372, 12047511, and 12247103) and the Youth Innovation Team of Shaanxi Universities.
Corresponding Authors:
Song Cheng, Yang-Yang Chen
E-mail: scheng@csrc.ac.cn;chenyy@nwu.edu.cn
Cite this article:
Xiao-Min Zhang(张小敏), Song Cheng(程颂), and Yang-Yang Chen(陈洋洋) Thermal-contact capacity of one-dimensional attractive Gaudin—Yang model 2024 Chin. Phys. B 33 040203
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