Spinless fermion model on diamond chain

Abstract

The decoration or iteration transformation was widely applied to solve exactly the magnetic spin models in one-dimensional and two-dimensional lattice. The motif of this letter is to extend the decoration transformation approach for models that describe interacting electron systems instead of spin magnetic systems, one illustrative model to be studied, will be the spinless fermion model on diamond chain. Using the decoration transformation, we are able to solve this model exactly. The phase diagram of this model was explored at zero temperature as well as the thermodynamics properties of the model for any particle density. The particular case when particle-hole symmetry is satisfied was also discussed.

References in corpus (11)

• Geometric frustration in the class of exactly solvable Ising-Heisenberg diamond chains
• Generalized Transformation for Decorated Spin Models
• Generalized algebraic transformations and exactly solvable classical-quantum models
• Phase diagram of the asymmetric tetrahedral Ising-Heisenberg chain
• Lattice distortions in a sawtooth chain with Heisenberg and Ising bonds
• Exact evidence for the spontaneous antiferromagnetic long-range order in the two-dimensional hybrid model of localized Ising spins and itinerant electrons
• One-dimensional spinless fermion model with competing interactions beyond half-filling
• Spin Frustration in an Exactly Solvable Ising-Heisenberg Diamond Chain
• Spin-1/2 Ising-Heisenberg model with the pair XYZ Heisenberg interaction and quartic Ising interactions as the exactly soluble zero-field eight-vertex model
• Breakdown of Luttinger liquid state in one-dimensional frustrated spinless fermion model
• Two dimensional XXZ-Ising model on square-hexagon lattice

Cited by in corpus (16)

• Thermal entanglement in exactly solvable Ising-XXZ diamond chain structure
• Pairwise thermal entanglement in Ising-XYZ diamond chain structure in an external magnetic field
• Vigorous thermal excitations in a double-tetrahedral chain of localized Ising spins and mobile electrons mimic a temperature-driven first-order phase transition
• Direct algebraic mapping transformation for decorated spin models
• Magnetization non-rational quasi-plateau and spatially modulated spin order in the model of the single-chain magnet, [{(CuL)_2 Dy}{Mo(CN)_8}] 2CH_3CN H_2O
• Zero temperature non-plateau magnetization and magnetocaloric effect in an Ising-XYZ diamond chain structure
• Correlation functions in one-dimensional spin lattices with Ising and Heisenberg bonds
• Entangled state teleportation through a couple of quantum channels composed of XXZ dimers in an Ising-XXZ diamond chain
• On the effects of an impurity in an Ising-$XXZ$ diamond chain on the thermal entanglement, on the quantum coherence and on the quantum teleportation
• Thermal entanglement in a spin-1/2 Ising-XYZ distorted diamond chain with the second-neighbor interaction between nodal Ising spins
• Magnetic properties, Lyapunov exponent and superstability of the spin-1/2 Ising-Heisenberg model on diamond chain
• Geometrical frustration of an extended Hubbard diamond chain in the quasi-atomic limit
• Thermal entanglement in an orthogonal dimer-plaquette chain with alternating Ising-Heisenberg coupling
• Low temperature pseudo-phase transition in an extended Hubbard diamond chain
• Investigation of the Quantum Correlations for a S=1/2 Ising- Heisenberg Model on a Symmetrical Diamond Chain
• Zero temperature phase transitions and their anomalous influence on thermodynamic behavior in the q-state Potts model on a diamond chain