Mott Transitions in the Hubbard Model with Spatially Modulated Interactions

Koga, Akihisa; Saitou, Takamitsu; Yamamoto, Atsushi

doi:10.7566/jpsj.82.024401

Cited by 10 publications

(3 citation statements)

References 53 publications

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“…A spatial modulation of the local interaction has also been achieved [33]. This leads to a possibility of realizing the Hubbard model with spatially alternating local interactions by quantum simulations [34]. Hamiltonian in Eq.…”

Section: Model and Dynamical Mean-field Theorymentioning

confidence: 99%

Fractionalized long-range ordered state in a Falicov-Kimball model

Tran

2019

Phys. Rev. B

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A Falicov-Kimball model which thermodynamically reduces the local Coulomb interaction of particles to attraction or repulsion is studied within the dynamical mean-field theory. In the strong interaction regime a fractionalization of particles into charge and spin objects, the physical properties of which are different from the whole particles, is observed in both high-and low-temperature phases. At high temperature and strong interaction the single-particle density of states opens an excitation gap, but the charge compressibility and the spin susceptibility exhibit the features of gapless excitations. The low-temperature phase has a long-range order, and the single-particle spectra are always gapped, while the charge and spin excitations are gapless in the strong interaction regime. In the fractionalized long-range ordered phase both the charge compressibility and the spin susceptibility are universal scaling functions of temperature.

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Section: Model and Dynamical Mean-field Theorymentioning

confidence: 99%

Fractionalized long-range ordered state in a Falicov-Kimball model

Tran

2019

Phys. Rev. B

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“…One can see that both ρ A,arith (0), ρ B,arith (0) as well as both ρ A,geom (0), ρ B,geom (0) simultaneously vanish at the phase transition. It is well established that in the Hubbard model with spatially alternating interactions both ρ A,arith (0), ρ B,arith (0) simultaneously vanish at the Mott MIT [34][35][36]. This feature is nevertheless kept in the system in the presence of disorder, as shown above.…”

Section: Resultsmentioning

confidence: 55%

Anderson localization in the Anderson–Hubbard model with site-dependent interactions

Nguyen

Hoang

2022

New J. Phys.

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We consider Anderson localization in the half-filled Anderson-Hubbard model in the presence of either random on-site interactions or spatially alternating interactions in the lattice. By using dynamical mean field theory with the equation of motion method as an impurity solver, we calculate the arithmetically and geometrically averaged local density of states and derive the equations determining the critical value for the phase transition between metallic, Anderson and Mott insulating phases. The nonmagnetic ground state phase diagrams are constructed numerically. We figure out that the presence of Coulomb disorder drives the system toward the Anderson localized phase that can occur even in the absence of Anderson structural disorder. For the spatially alternating interactions, we find that the metallic region is reduced and the Mott and Anderson insulator ones are enlarged with increasing interaction modulation. Our obtained results are relevant to current research in ultracold atoms in disordered optical lattices where metal-insulator transition can be observed experimentally by using ultracold atom techniques.

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“…The electron Green's function is self-consistently obtained via this impurity problem. The treatment is exact in the infinite dimensions and DMFT has successfully been explained magnetic properties in single-band [13,18,19,20,21] and multiorbital models [22,23,24,25,26,27,28].…”

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confidence: 99%

Ferromagnetically ordered metal in the single-band hubbard model

Koga

Kamogawa

Nasu

2021

Proceedings of the 14th Asia-Pacific Physics Conference

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We study a ferromagnetic instability in a single-band Hubbard model on the hypercubic lattice away from half filling. Using dynamical mean-field theory with the continuous-time quantum Monte Carlo simulations based on the segment algorithm, we calculate the magnetic susceptibility in the weak and strong coupling regions systematically. We then find how ferromagnetic fluctuations are enhanced when the interaction strength and density of holes are varied. The efficiency of the double flip updates in the Monte Carlo simulations is also addressed.

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Mott Transitions in the Hubbard Model with Spatially Modulated Interactions

Cited by 10 publications

References 53 publications

Fractionalized long-range ordered state in a Falicov-Kimball model

Fractionalized long-range ordered state in a Falicov-Kimball model

Anderson localization in the Anderson–Hubbard model with site-dependent interactions

Ferromagnetically ordered metal in the single-band hubbard model

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