Quantum phase transition between topologically distinct quantum critical points
arxiv(2024)
摘要
By constructing an exactly solvable spin model, we investigate the critical
behaviors of transverse field Ising chains interpolated with cluster
interactions, which exhibit various types of topologically distinct Ising
critical points. Using fidelity susceptibility as an indicator, we establish
the global phase diagram, including ferromagnetic, trivial paramagnetic, and
symmetry-protected topological phases. Different types of critical points exist
between these phases, encompassing both topologically trivial and non-trivial
Ising critical points, as well as Gaussian critical points. Importantly, we
demonstrate the existence of a Lifshitz transition between these topologically
distinct Ising critical points, with central charge and critical exponents
determined through finite-size scaling. This work serves as a valuable
reference for further research on phase transitions within the gapless quantum
phase of matter.
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