arXiv subjects

Abolfath Hosseinzadeh

Publications and source records attributed to Abolfath Hosseinzadeh.

2 recordsLinked to original sources

arXiv2024

Semiclassical transport in two-dimensional Dirac materials with spatially variable tilt

We use Boltzmann theory to study the semi-classical dynamics of electrons in a two-dimensional (2D) tilted Dirac material in which the tilt varies in space. The spatial variation of the tilt parameter induces a non-trivial spacetime geometry on the background of which the electrons roam about. As the first manifestation of graivto-electric phenomena, we find a geometric planar Hall effect according to which a current flows in a direction transverse to the chemical potential gradient and is proportional to $g^{xy}$ component of the emergent spacetime structure. The longitudinal conductivity contains information about the gravitational red-shift factors. Furthermore, in the absence of externally applied electric field there can be "free-fall" or zero-bias currents that can be used as detectors of terahertz radiation.

cond-mat.mes-hall↗

arXiv2020

Generalization of Lieb-Wu wave function inspired by one-dimensional ionic Hubbard model

With the ionic Hubbard model (IHM) in mind, we construct a non-trivial generalization of the Bethe ansatz (BA) wave function which naturally generalizes the Lieb-Wu wave function with an ionic parameter $Δ$, and reduces to Lieb-Wu solution in the limit $Δ\to 0$. The resulting two-particle scattering matrix satisfies the Yang-Baxter equation. To the extent that the unit cells with more than two electrons (Choy-Haldane issue) are avoided on average, our wave function represents an effective soluiton for the one-dimensional IHM. The Choy-Haldane issue restricts the validity of our solution to low-filling and large $U\gtrsim 4$. This regime is attainable in cold atom realizations of the IHM. For this regime, we numerically solve the generalized Bethe equations and compute the ground state energy in the thermodynamic limit.

cond-mat.str-el↗