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Spinful fermionic ladders at incommensurate filling: Phase diagram,local perturbations,and ionic potentials
Authors:Sam T Carr  Boris N Narozhny  Alexander A Nersesyan
Institution:1. School of Physical Sciences, University of Kent, Canterbury CT2 7NH, UK;2. Institut für Theorie der Kondensierten Materie, Karlsruher Institut für Technologie, 76128 Karlsruhe, Germany;3. DFG Center for Functional Nanostructures, Karlsruher Institut für Technologie, 76128 Karlsruhe, Germany;4. The Abdus Salam International Centre for Theoretical Physics, 34100, Trieste, Italy
Abstract:We study the effect of external potential on transport properties of the fermionic two-leg ladder model. The response of the system to a local perturbation is strongly dependent on the ground state properties of the system and especially on the dominant correlations. We categorize all phases and transitions in the model (for incommensurate filling) and introduce “hopping-driven transitions” that the system undergoes as the inter-chain hopping is increased from zero. We also describe the response of the system to an ionic potential. The physics of this effect is similar to that of the single impurity, except that the ionic potential can affect the bulk properties of the system and in particular induce true long range order.
Keywords:Luttinger liquid  Spin gap  Ladder materials  Charge transport
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