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Mott transition
About: Mott transition is a research topic. Over the lifetime, 2444 publications have been published within this topic receiving 78401 citations.
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TL;DR: A Comment on the Letter by R. Chau et al. as discussed by the authors, Phys. Rev. Lett. 90, 245501 (2003) is the closest to ours.
Abstract: A Comment on the Letter by R. Chau et al., Phys. Rev. Lett. 90, 245501 (2003). The authors of the Letter offer a Reply.
22 May 2023
TL;DR: In this paper , the authors analyzed the bandwidth-tuned transition from the Wigner-Mott (WM) insulator to the Luttinger liquid via a distinct intermediate gapless phase.
Abstract: Electrons can organize themselves into charge-ordered states to minimize the effects of long-ranged Coulomb interactions. In the presence of a lattice, commensurability constraints lead to the emergence of incompressible Wigner-Mott (WM) insulators at various rational electron fillings, $
u~=p/q$. The mechanism for quantum fluctuation-mediated melting of the WM insulators with increasing electron kinetic energy remains an outstanding problem. Here we analyze numerically the bandwidth-tuned transition out of the WM insulator at $
u=1/5$ on infinite cylinders with varying circumference. For the two-leg ladder, the transition from the WM insulator to the Luttinger liquid proceeds via a distinct intermediate gapless phase -- the Luther-Emery liquid. We place these results in the context of a low-energy bosonization based theory for the transition. We also comment on the bandwidth-tuned transition(s) on the five-leg cylinder, and connections to ongoing experiments in dual-gated bilayer moir\'e transition metal dichalcogenide materials.
30 Jun 2023
TL;DR: In this article , the altermagnetic properties of strongly-correlated transition metal oxides considering the family of A2BO4 and three-dimensional ABO3 were investigated and the presence of an orbital-selective altermagnetism in the case of Ca2RuO4 was shown.
Abstract: We investigate the altermagnetic properties of strongly-correlated transition metal oxides considering the family of the quasi two-dimensional A2BO4 and three-dimensional ABO3. As a test study, we analyze the Mott insulators Ca2RuO4 and YVO3. In both cases, the orbital physics is extremely relevant in the t2g subsector with the presence of an orbital-selective Mott physics in the first case and of a robust orbital-order in the second case. Using first-principles calculations, we show the presence of an orbital-selective altermagnetism in the case of Ca2RuO4. In the case of YVO3, we study the altermagnetism as a function of the magnetic ordering and of the Coulomb repulsion U. We find that the altermagnetism is present in all magnetic orders with the symmetries of the Brillouin zone depending on the magnetic order. Finally, the Coulomb repulsion enhances the non-relativistic spin-splitting making the strongly-correlated systems an exciting playground for the study of the altermagnetism.
TL;DR: In this paper , the authors used the dynamical cluster approximation with continuous time auxiliary field quantum Monte Carlo to solve the Mott transition in the triangular lattice at half-filling model.
Abstract: The Mott transition is observed experimentally in materials that are magnetically frustrated so that long-range order does not hide the Mott transition at finite temperature. The Hubbard model on the triangular lattice at half-filling is a paradigmatic model to study the interplay of interactions and frustration on the normal-state phase diagram. We use the dynamical cluster approximation with continuous time auxiliary field quantum Monte Carlo to solve this model for 1, 4, 6, 12, and 16 site clusters with detailed analysis performed for the 6 site cluster. We show that a) for every cluster there is an inflection point in the double occupancy as a function of interaction, defining a Widom line that extends above the critical point of the first-order Mott transition; b) the presence of this line and the cluster size dependence argue for the observability of the Mott transition at finite temperature in the thermodynamic limit; c) the loss of spectral weight in the metal to Mott insulator transition as a function of temperature and for strong interactions is momentum dependent, the hallmark of a pseudogap. That pseudogap spans a large region of the phase diagram near the Mott transition.
TL;DR: In this article, the projective quantum Monte Carlo method was used for solving the Anderson impurity model at zero temperature and employed as an impurity solver within the dynamical mean field theory, becoming exact in the limit spatial dimension d → ∞.
Abstract: We discuss the projective quantum Monte Carlo method for solving the Anderson impurity model at zero temperature and employ it as an impurity solver within the dynamical mean-field theory, becoming exact in the limit spatial dimension d → ∞ . Results for the Mott–Hubbard transition in the one-band Hubbard model are presented.