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Dielectric Catastrophe at the Mott Transition

2001; American Physical Society; Volume: 86; Issue: 3 Linguagem: Inglês

10.1103/physrevlett.86.468

1092-0145

C. Aebischer, D. Baeriswyl, R. M. Noack,

Advanced Condensed Matter Physics

We study the Mott transition as a function of interaction strength in the half-filled Hubbard chain with next-nearest-neighbor hopping ${t}^{\ensuremath{'}}$ by calculating the response to an external electric field using the density matrix renormalization group. The electric susceptibility $\ensuremath{\chi}$ diverges when approaching the critical point from the insulating side. We show that the correlation length $\ensuremath{\xi}$ characterizing this transition is directly proportional to fluctuations of the polarization and that $\ensuremath{\chi}\ensuremath{\sim}{\ensuremath{\xi}}^{2}$. The critical behavior shows that the transition is infinite order for all ${t}^{\ensuremath{'}}$, whether or not a spin gap is present, and that hyperscaling holds.