Low temperature pseudo-phase transition in an extended Hubbard diamond chain

Abstract

We consider the extended Hubbard diamond chain with an arbitrary number of particles driven by chemical potential. The interaction between dimer diamond chain and nodal couplings is considered in the atomic limit (no hopping), while the dimer interaction includes the hopping term. We demonstrate that this model exhibits a pseudo-transition effect in the low-temperature regime. Here, we explore the pseudo-transition rigorously by analyzing several physical quantities. The internal energy and entropy depict sudden, although continuous, jumps which closely resembles discontinuous or first-order phase transition. At the same time, the correlation length and specific heat exhibit astonishing strong sharp peaks, quite similar to a second-order phase transition. We associate the ascending and descending part of the peak with power-law \textquotedbl pseudo-critical\textquotedbl exponents. We determine the pseudo-critical exponents in the temperature range where these peaks are developed, namely $\nu =1$ for the correlation length and $\alpha =3$ for the specific heat. We also study the behavior of the electron density and isothermal compressibility around the pseudo-critical temperature.

14 pages, 12 figures

References in corpus (16)

• Nature of the spin dynamics and 1/3 magnetization plateau in azurite
• Universal low-temperature behavior of frustrated quantum antiferromagnets in the vicinity of the saturation field
• Geometric frustration in the class of exactly solvable Ising-Heisenberg diamond chains
• Magnetism and Thermodynamics of Spin-1/2 Heisenberg Diamond Chains in a Magnetic Field
• Exact many-electron ground states on the diamond Hubbard chain
• Vigorous thermal excitations in a double-tetrahedral chain of localized Ising spins and mobile electrons mimic a temperature-driven first-order phase transition
• Quasi-phases and pseudo-transitions in one-dimensional models with nearest neighbor interactions
• One-dimensional extended Hubbard model in the atomic limit
• Thermal entanglement and sharp specific-heat peak in an exactly solved spin-1/2 Ising-Heisenberg ladder with alternating Ising and Heisenberg inter-leg couplings
• Exact low-temperature properties of a class of highly frustrated Hubbard models
• Doped AB_2 Hubbard Chain: Spiral, Nagaoka and RVB States, Phase Separation and Luttinger Liquid Behavior
• Geometrical frustration of an extended Hubbard diamond chain in the quasi-atomic limit
• Spinless fermion model on diamond chain
• Topology of many-body edge and extended quantum states in an open spin chain: 1/3--plateau, Kosterlitz-Thouless transition, and Luttinger liquid
• Dispersion-driven ferromagnetism in a flat-band Hubbard system
• Finite size effects around pseudo-transition in one-dimensional models with nearest neighbor interaction

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