arXiv subjects

Tirthaprasad Chattaraj

Publications and source records attributed to Tirthaprasad Chattaraj.

4 recordsLinked to original sources

arXiv2019

Pair functions computed recursively in ordered and disordered lattices

In this article I study pairing of two interacting particles in ideal 1D, 2D and Bethe lattices. I employ the method of recursion that has been formulated recently by Berciu et. al. to compute the pair functions in real space without performing any integrations. Although, in higher dimensions the system sizes that can be addressed with this method become limited, for disordered systems this size limit can be increased by employing approximations.

physics.comp-ph↗

arXiv2018

Numerical Studies on Correlations in Dynamics and Localization of Two Interacting Particles in Lattices

Correlation of interacting particles is studied in their dynamics and localization in ideal and disordered lattice systems with the help of numerical tools. Both 1D and 2D systems are considered. In 1D lattices with long-range hopping, differences between dynamics of attractively and repulsively interacting particles are noted. For calculations of 2D systems, a recursion based numerical algorithm for two-particle Greens functions is implemented which provides accurate results. Using this algorithm, spectral properties of 2D Hubbard and Hofstadter models is computed, along with localization parameters of 2D disordered systems.

cond-mat.quant-gas↗

arXiv2018

Spectral weights of doublon in interacting Hofstadter model

In this article, two-particle Greens functions are computed for different strengths of interactions for particles in Hofstadter lattices, providing informations on spectral weights of doublons. The calculations are performed for a finite lattice without disorder. The splitting in spectra under the effect of external magnetic field for non-interacting and interacting pairs are compared.

cond-mat.str-el↗

arXiv2018

Localization parameters for two interacting particles in disordered two-dimensional lattices

In two dimensional disordered lattices, presence of interaction makes particles less localized than the non-interacting ones within the range of disorder strength $W \le 4$ and interaction strength $V \le 4$. If the interaction strength is higher, then particles localize more. Although, a localization- delocalization transition is not found, a transition with changes in the dominant correlations is observed. The nature of correlations between the particles as nearest neighbors become dominant beyond certain disorder strengths.

cond-mat.dis-nn↗