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arXiv · 1805.04408

Fidelity and criticality of quantum Ising chain with long-range interactions

Zhangqi Zhu·Gaoyong Sun·Wen-Long You·Da-Ning Shi
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Abstract

We study the criticality of long-range quantum ferromagnetic Ising chain with algebraically decaying interactions $1/r^{\alpha}$ via the fidelity susceptibility based on the exact diagonalization and the density matrix renormalization group techniques. We find that critical exponents change monotonously from the mean-field universality class to the short-range Ising universality class for intermediate $\alpha$, which are consistent with recent results obtained from renormalization group. In addition, we determine the critical values for $1.8 \le \alpha \le 3$ from the finite-size scaling of the fidelity susceptibility. Our work provides very nice numerical data from the fidelity susceptibility for the quantum long-range ferromagnetic Ising chain.

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Zhangqi Zhu, Gaoyong Sun, Wen-Long You, Da-Ning Shi. 2018-05-11. Fidelity and criticality of quantum Ising chain with long-range interactions. https://doi.org/10.1103/physreva.98.023607

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