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cond-mat.dis-nn2026
Irrationality Measure Controls Long-Wavelength Charge Fluctuations in Quasiperiodic Systems
Junmo Jeon, Shiro Sakai
Quasiperiodic order is characterized by irrational frequencies whose rational approximability known as irrationality measure defines distinct arithmetic classes. We establish that…
cond-mat.str-el2026
Non-Fermi-Liquid Behaviors in Weakly Interacting Two-Dimensional Quasicrystals
Junmo Jeon, Shiro Sakai
Non-Fermi-liquid (NFL) behavior is usually associated with strong electronic correlations, quantum criticality, or singular fluctuations that invalidate the quasiparticle picture.…
cond-mat.dis-nn2026
Hyperuniform charge distributions and phase transitions in a generalized Aubry-André model
Lujia Xiang, Junmo Jeon, Shiro Sakai
We show the existence of distinct inhomogeneous charge distributions and a phase transition between them in aperiodic fermion systems. Using a generalized Aubry-André model as an e…