Transport through a 1D Mott-Hubbard insulator of a finite length $L$ is studied beyond the perturbative approach. At a special value of the low-energy constant of the interaction we have mapped the problem onto exactly solvable models and found current vs voltage at a high temperature $T>\mathrm{max}({m,T}_{L})$ and at a low energy $T,V<{T}_{L}$ ( ${T}_{L}{\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}v}_{c}/L$ ; ${v}_{c}$ : charge velocity). The result shows that for the strong interaction creating a large Mott-Hubbard gap $2m\ensuremath{\gg}{T}_{L}$ inside the wire, the transport is suppressed near half filling everywhere inside the gap except for a small region where $V,T<{T}_{L}\mathrm{exp}(\ensuremath{-}2m/{T}_{L})$.Transport through a 1D Mott-Hubbard insulator of a finite length $L$ is studied beyond the perturbative approach. At a special value of the low-energy constant of the interaction we have mapped the problem onto exactly solvable models and found current vs voltage at a high temperature $T>\mathrm{max}({m,T}_{L})$ and at a low energy $T,V<{T}_{L}$ ( ${T}_{L}{\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}v}_{c}/L$; ${v}_{c}$: charge velocity). The result shows that for the strong interaction creating a large Mott-Hubbard gap $2m\ensuremath{\gg}{T}_{L}$ inside the wire, the transport is suppressed near half filling everywhere inside the gap except for a small region where $V,T<{T}_{L}\mathrm{exp}(\ensuremath{-}2m/{T}_{L})$.

arXiv:cond-mat/9711167Physical Review LettersSep 14, 199816 citations

Superexchange in Mott-Hubbard Insulators

Demetra Psiachos

arXiv:1407.3665Jul 14, 20140 citations

Mott-hubbard metal-insulator transition

Arianna Montorsi, Mario Rasetti

Il Nuovo Cimento DOct 1, 19943 citations

Spin-charge separation and Kondo effect in transport through a 1D Mott-Hubbard insulator

Vadim V. Ponomarenko

We study low energy spin and charge transport through a 1D Mott-Hubbard insulator of finite length $L$ attached to Fermi liquid reservoirs characterized by different chemical potentials for electrons of opposite spin polarizations as it happens in quantum spin Hall insulators. We calculate the average currents (charge and spin) and their correlators and demonstrate how a transition induced by the reservoirs to the low energy Fermi liquid regime results in breakdown of the spin-charge separation, which is visible in the presence of the spin dependent voltages and a weak one electron scattering in the system. These calculations are carried out under assumption that the Hubbard gap 2M is large enough: $M > T_L \equiv v_c/L$ ( $v_c$ : charge velocity in the wire) and the scattering rate $Γ_s \ll T_L$ . Relation of these results to Kondo dot transport in the Toulouse limit is also clarified.We study low energy spin and charge transport through a 1D Mott-Hubbard insulator of finite length $L$ attached to Fermi liquid reservoirs characterized by different chemical potentials for electrons of opposite spin polarizations as it happens in quantum spin Hall insulators. We calculate the average currents (charge and spin) and their correlators and demonstrate how a transition induced by the reservoirs to the low energy Fermi liquid regime results in breakdown of the spin-charge separation, which is visible in the presence of the spin dependent voltages and a weak one electron scattering in the system. These calculations are carried out under assumption that the Hubbard gap 2M is large enough: $M > T_L \equiv v_c/L$ ($v_c$: charge velocity in the wire) and the scattering rate $Γ_s \ll T_L$. Relation of these results to Kondo dot transport in the Toulouse limit is also clarified.

arXiv:1105.3863May 19, 20110 citations

Nonequilibrium Electron Transport in Mott Insulators

K. A. Al-Hassanieh, Fabian Heidrich‐Meisner, Iván González +3 more

Bulletin of the American Physical SocietyMar 6, 20070 citations

Transport through a 1D Mott-Hubbard insulator of a finite length

L

is studied beyond the perturbative approach. At a special value of the low-energy constant of the interaction we have mapped the problem onto exactly solvable models and found current vs voltage at a high temperature

T>\mathrm{max}({m,T}_{L})

and at a low energy

T,V<{T}_{L}

(

{T}_{L}{\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}v}_{c}/L

;

{v}_{c}

: charge velocity). The result shows that for the strong interaction creating a large Mott-Hubbard gap $2m\ensuremath{\gg}{T}_{L}$ inside the wire, the transport is suppressed near half filling everywhere inside the gap except for a small region where $V,T<{T}_{L}\mathrm{exp}(\ensuremath{-}2m/{T}_{L})$.

We study low energy spin and charge transport through a 1D Mott-Hubbard insulator of finite length

L

attached to Fermi liquid reservoirs characterized by different chemical potentials for electrons of opposite spin polarizations as it happens in quantum spin Hall insulators. We calculate the average currents (charge and spin) and their correlators and demonstrate how a transition induced by the reservoirs to the low energy Fermi liquid regime results in breakdown of the spin-charge separation, which is visible in the presence of the spin dependent voltages and a weak one electron scattering in the system. These calculations are carried out under assumption that the Hubbard gap 2M is large enough:

M > T_L \equiv v_c/L

(

v_c

: charge velocity in the wire) and the scattering rate

Γ_s \ll T_L

. Relation of these results to Kondo dot transport in the Toulouse limit is also clarified.