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• W2735469549 abstract "A repulsive Hubbard model with both spin-asymmetric hopping $({t}_{ensuremath{uparrow}}ensuremath{ne}{t}_{ensuremath{downarrow}})$ and a staggered potential (of strength $mathrm{ensuremath{Delta}})$ is studied in one dimension. The model is a compound of the mass-imbalanced $({t}_{ensuremath{uparrow}}ensuremath{ne}{t}_{ensuremath{downarrow}},phantom{rule{0.16em}{0ex}}mathrm{ensuremath{Delta}}=0)$ and ionic $({t}_{ensuremath{uparrow}}={t}_{ensuremath{downarrow}},phantom{rule{0.16em}{0ex}}mathrm{ensuremath{Delta}}>0)$ Hubbard models, and may be realized by cold atoms in engineered optical lattices. We use mostly mean-field theory to determine the phases and phase transitions in the ground state for a half-filled band (one particle per site). We find that a period-two modulation of the particle (or charge) density and an alternating spin density coexist for arbitrary Hubbard interaction strength, $Uensuremath{ge}0$. The amplitude of the charge modulation is largest at $U=0$, decreases with increasing $U$ and tends to zero for $Uensuremath{rightarrow}ensuremath{infty}$. The amplitude for spin alternation increases with $U$ and tends to saturation for $Uensuremath{rightarrow}ensuremath{infty}$. Charge order dominates below a value ${U}_{c}$, whereas magnetic order dominates above. The mean-field Hamiltonian has two gap parameters, ${mathrm{ensuremath{Delta}}}_{ensuremath{uparrow}}$ and ${mathrm{ensuremath{Delta}}}_{ensuremath{downarrow}}$, which have to be determined self-consistently. For $U<{U}_{c}$ both parameters are positive, for $U>{U}_{c}$ they have different signs, and for $U={U}_{c}$ one gap parameter jumps from a positive to a negative value. The weakly first-order phase transition at ${U}_{c}$ can be interpreted in terms of an avoided criticality (or metallicity). The system is reluctant to restore a symmetry that has been broken explicitly." @default.
• W2735469549 created "2017-07-21" @default.
• W2735469549 creator A5034214624 @default.
• W2735469549 creator A5034600236 @default.
• W2735469549 creator A5046515566 @default.
• W2735469549 creator A5051851311 @default.
• W2735469549 date "2017-07-11" @default.
• W2735469549 modified "2023-10-16" @default.
• W2735469549 title "Mass-imbalanced ionic Hubbard chain" @default.
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