Spinless Fermionic ladders in a magnetic field: Phase Diagram
Sam T. Carr, Boris N. Narozhny, Alexander A. Nersesyan
TL;DR
This paper investigates the phase diagram of spinless fermions on a ladder under a magnetic field, revealing various quantum phase transitions including Gaussian and BKT types at half filling.
Contribution
It provides a detailed analysis of the phase transitions and the nature of ordered and gapless phases in this specific fermionic ladder system.
Findings
Identification of Gaussian phase transitions at half filling
Observation of Berezinskii-Kosterlitz-Thouless transitions
Characterization of long-range order and gapless phases
Abstract
The system of interacting spinless fermions hopping on a two-leg ladder exhibits a series of quantum phase transitions when subjected to an external magnetic field. At half filling, these are either U(1) Gaussian phase transitions between two phases with distinct types of long-range order or Berezinskii-Kosterlitz-Thouless transitions between ordered and gapless phases.
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