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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: In this article, the Mott transition can be realized in a holographic model of a fermion with bulk mass, $m$, and a dipole interaction of coupling strength $p$.
Abstract: We show that the Mott transition can be realized in a holographic model of a fermion with bulk mass, $m$, and a dipole interaction of coupling strength $p$. The phase diagram contains gapless, pseudo-gap and gapped phases and the first one can be further divided into four sub-classes. We compare the spectral densities of our holographic model with the Dynamical Mean Field Theory (DMFT) results for Hubbard model as well as the experimental data of Vanadium Oxide materials. Interestingly, single-site and cluster DMFT results of Hubbard model share some similarities with the holographic model of different parameters, although the spectral functions are quite different due to the asymmetry in the holography part. The theory can fit the X-ray absorption spectrum (XAS) data quite well, but once the theory parameters are fixed with the former it can fit the photoelectric emission spectrum (PES) data only if we symmetrize the spectral function.
11 citations
TL;DR: In this article, a quantum spin liquid state was found in an organic Mott insulator with nearly triangular lattice by means of nuclear-magnetic-resonance experiments and the absence of long-range magnetic ordering was evidenced at low temperatures down to 30 mK in spite of an antiferromagnetic exchange interaction of 250 K between the neighboring spins.
Abstract: Magnetism of interacting localized spins on triangular lattice has been of keen interest. We found a quantum spin liquid state in an organic Mott insulator with nearly triangular lattice by means of nuclear-magnetic-resonance experiments. The absence of long-range magnetic ordering was evidenced at low temperatures down to 30 mK in spite of an antiferromagnetic exchange interaction of 250 K between the neighboring spins. Realization of the spin liquid is attributable to the proximity of the present system to the Mott transition, consistent with the theoretical study of the triangular-lattice Hubbard model. Field-induced inhomogeneous spin state is argued in terms of the effect of disorder on the spin liquid.
11 citations
TL;DR: In this paper, the phase diagram of a Bose-Fermi mixture of hardcore spinless bosons and spin-polarized fermions with nearest-neighbor intraspecies interaction and on-site interspecies repulsion in an optical lattice at half filling using a slave-boson mean-field theory was obtained.
Abstract: We obtain the phase diagram of a Bose-Fermi mixture of hardcore spinless bosons and spin-polarized fermions with nearest-neighbor intraspecies interaction and on-site interspecies repulsion in an optical lattice at half filling using a slave-boson mean-field theory. We show that such a system can have four possible phases which are (a) supersolid bosons coexisting with fermions in the Mott state, (b) Mott state of bosons coexisting with fermions in a metallic or charge-density wave state, (c) a metallic fermionic state coexisting with superfluid phase of bosons, and (d) Mott insulating state of fermions and bosons. We chart out the phase diagram of the system and provide analytical expressions for the phase boundaries within mean-field theory. We demonstrate that the transitions between these phases are generically first order with the exception of that between the supersolid and the Mott states which, within mean-field theory, is a continuous quantum phase transition. We also obtain the low-energy collective excitations of the system in these phases. Finally, we study the particle-hole excitations in the Mott insulating phase and use it to determine the dynamical critical exponent $z$ for the supersolid-Mott insulator transition. We discuss experiments which can test our theory.
11 citations
TL;DR: In this article, the authors investigated a one-dimensional system of anyons that interact with each other under a local three-body term using a fractional Jordan-Wigner transformation, which exhibits gapped and gapless phases.
Abstract: We investigated a one-dimensional system of anyons that interact with each other under a local three-body term. Using a fractional Jordan-Wigner transformation, we arrived at a modified Bose-Hubbard model, which exhibits gapped and gapless phases. We built the phase diagram of the system fixing the hopping parameter or the statistics, showing the evolution of the critical points, which were estimated with von Neumann block entropy. A superfluid to Mott insulator quantum phase transition with one particle per site can be driven by the statistics or the interaction. Specifically, we show that for larger angles there is a finite critical value of the interaction at which the Mott phase appears. Also, we found that the critical angles increase with the hopping. Diverse gapless phases were observed away from the pseudofermion limit.
11 citations
TL;DR: In this paper, the physical properties of arbitrary half-integer spins F = N − 1 / 2 fermionic cold atoms loaded into a one-dimensional optical lattice are investigated by means of a conformal field theory approach.
11 citations