Journal
PHYSICAL REVIEW RESEARCH
Volume 3, Issue 1, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevResearch.3.013114
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Funding
- Agence Nationale de la Recherche (ANR) under the project TRYAQS [ANR-16-CE30-0026]
- LabEx PALM [ANR-10-LABX-0039-PALM]
- Region Ile-de-France
- Agence Nationale de la Recherche (ANR) [ANR-16-CE30-0026] Funding Source: Agence Nationale de la Recherche (ANR)
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This study investigates the phase diagrams of a one-dimensional lattice model of fermions and a spin chain model with interactions extending up to next-nearest-neighbor range. The analysis reveals a rich collection of phases including Luttinger liquids, phase separation, charge-density waves, and exotic cluster Luttinger liquids with paired particles, showing emergent transition lines with a central charge c = 3/2. These results suggest potential experimental investigations using highly tunable quantum simulators.
We investigate the phase diagrams of a one-dimensional lattice model of fermions and of a spin chain with interactions extending up to next-nearest-neighbor range. In particular, we investigate the appearance of regions with dominant pairing physics in the presence of nearest-neighbor and next-nearest-neighbor interactions. Our analysis is based on analytical calculations in the classical limit, bosonization techniques and large-scale density-matrix renormalization group numerical simulations. The phase diagram, which is investigated in all relevant filling regimes, displays a remarkably rich collection of phases, including Luttinger liquids, phase separation, charge-density waves, bond-order phases, and exotic cluster Luttinger liquids with paired particles. In relation with recent studies, we show several emergent transition lines with a central charge c = 3/2 between the Luttinger liquid and the cluster Luttinger liquid phases. These results could be experimentally investigated using highly tunable quantum simulators.
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