Rahul Soni

ORCID: 0000-0003-1771-4299
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Research Areas
  • Advanced Condensed Matter Physics
  • Physics of Superconductivity and Magnetism
  • Topological Materials and Phenomena
  • Iron-based superconductors research
  • Quantum many-body systems
  • Rare-earth and actinide compounds
  • Magnetic and transport properties of perovskites and related materials
  • Quantum and electron transport phenomena
  • Magnetism in coordination complexes
  • Rings, Modules, and Algebras
  • Electric Motor Design and Analysis
  • 2D Materials and Applications
  • Superconducting Materials and Applications
  • Inorganic Chemistry and Materials
  • Cosmology and Gravitation Theories
  • Quantum Electrodynamics and Casimir Effect
  • Theoretical and Computational Physics
  • Black Holes and Theoretical Physics
  • Control and Stability of Dynamical Systems

University of Tennessee at Knoxville
2020-2024

Oak Ridge National Laboratory
2020-2023

Indian Institute of Science Education and Research, Bhopal
2013

10.1007/jhep12(2013)060 article EN Journal of High Energy Physics 2013-12-01

We study ribbons of the dice two-dimensional lattice (that we call ``dice ladders'') known to have nontrivial topological properties, such as Chern numbers 2 [Wang and Ran, Phys. Rev. B 84, 241103(R) (2011)]. Our main results are two fold. (1) Analyzing tight-binding model in presence Rashba spin-orbit coupling an external magnetic field, observed that ladders qualitatively display properties similar their counterpart all way limit only legs short direction. This includes flat bands near...

10.1103/physrevb.102.045105 article EN Physical review. B./Physical review. B 2020-07-06

Motivated by recent experimental progress in transition metal oxides with the ${\mathrm{K}}_{2}\mathrm{Ni}{\mathrm{F}}_{4}$ structure, we investigate magnetic and orbital ordering $\ensuremath{\alpha}\text{\ensuremath{-}}{\mathrm{Sr}}_{2}\mathrm{Cr}{\mathrm{O}}_{4}$. Using first-principles calculations, first derive a three-orbital Hubbard model, which reproduces ab initio band structure near Fermi level. The unique reverse splitting of ${t}_{2g}$ orbitals...

10.1103/physrevb.103.045115 article EN Physical review. B./Physical review. B 2021-01-13

Abstract Lattice geometry continues providing exotic topological phases in condensed matter physics. Exciting recent examples are the higher-order phases, manifesting via localized lower-dimensional boundary states. Moreover, flat electronic bands with a non-trivial topology arise various lattices and can hold finite superfluid density, bounded by Chern number C . Here we consider attractive interaction dice lattice that hosts = ± 2 show induced superconducting state exhibits second-order...

10.1038/s42005-023-01356-0 article EN cc-by Communications Physics 2023-09-06

The magnetic and electronic phase diagram of a model for the quasi-one-dimensional alkali-metal iron selenide compound ${\mathrm{Na}}_{2}{\mathrm{FeSe}}_{2}$ is presented. novelty this material that valence ${\mathrm{Fe}}^{2+}$, contrary to most other iron-chain compounds with ${\mathrm{Fe}}^{3+}$. Using first-principles techniques, we developed three-orbital tight-binding reproduces ab initio band structure near Fermi level. Including Hubbard Hund couplings studying via density-matrix...

10.1103/physrevb.102.035149 article EN Physical review. B./Physical review. B 2020-07-24

We studied a multi-orbital Hubbard model at half-filling for two and three orbitals per site on two-site cluster via full exact diagonalization, in wide range the onsite repulsion $U$, from weak to strong coupling, multiple ratios of Hund coupling $J_H$ $U$. The hopping matrix elements among were also varied extensively. At intermediate large we mapped results into Heisenberg model. For site, mapping is $S=1$ where by symmetry both nearest-neighbor $(\mathbf{S}_{i}\cdot\mathbf{S}_{j})$...

10.1088/1367-2630/ac7b9c article EN cc-by New Journal of Physics 2022-06-23

The condensation of spin-orbit-induced excitons in ${t}_{2g}^{4}$ electronic systems is attracting considerable attention. At large Hubbard $U$, antiferromagnetism was proposed to emerge from the Bose-Einstein Condensation (BEC) triplons (${J}_{\text{eff}}=1$). Here, we show that even at intermediate $U$ regimes, spin-orbit exciton possible leading also staggered magnetic order. canonical electron-hole excitations (excitons) transform into local triplon and this BEC strong coupling regime...

10.1103/physrevb.101.245147 article EN Physical review. B./Physical review. B 2020-06-18

We report the results of a Hartree-Fock study applied to interacting electrons moving in two different bipartite lattices: dice and Lieb lattices, at half-filling. Both lattices develop ferrimagnetic order phase diagram $U$-$\lambda$, where $U$ is Hubbard onsite repulsion $\lambda$ Rashba spin-orbit coupling strength. Our main result observation an unexpected multitude topological phases for both lattices. All these are ferrimagnetic, but they differ among themselves their set six Chern...

10.1103/physrevb.104.235115 article EN Physical review. B./Physical review. B 2021-12-07

We investigate the effects of electronic correlations on Bernevig-Hughes-Zhang model using real-space density matrix renormalization group (DMRG) algorithm. introduce a method to probe topological phase transitions in systems with strong DMRG, substantiated by an unsupervised machine learning methodology that analyzes orbital structure edges. Including full multi-orbital Hubbard interaction term, we construct diagram as function gap parameter ($m$) and strength ($U$) via exact DMRG...

10.1103/physrevb.109.245115 article EN Physical review. B./Physical review. B 2024-06-10

Motivated by recent experimental progress on iron-based ladder compounds, we study the doped two-orbital Hubbard model for two-leg ${\mathrm{BaFe}}_{2}{\mathrm{S}}_{3}$. The is constructed using ab initio hopping parameters and ground state properties are investigated density matrix renormalization group method. We show that $(\ensuremath{\pi},0)$ magnetic ordering at half filling, with ferromagnetic rungs antiferromagnetic legs, becomes incommensurate upon hole doping. Moreover, depending...

10.1103/physrevb.103.214513 article EN Physical review. B./Physical review. B 2021-06-15

Spin-1/2 chains with alternating antiferromagnetic (AFM) and ferromagnetic (FM) couplings have attracted considerable interest due to the topological character of their spin excitations. Here, using density functional theory density-matrix renormalization-group (DMRG) methods, we systematically studied dimerized chain system ${\mathrm{Na}}_{2}{\mathrm{Cu}}_{2}{\mathrm{TeO}}_{6}$ a ${d}^{9}$ electronic configuration. Near Fermi level, in nonmagnetic phase dominant states are mainly...

10.1103/physrevb.105.245113 article EN Physical review. B./Physical review. B 2022-06-10

We investigate the effects of electronic correlations on Bernevig-Hughes-Zhang model using real-space density matrix renormalization group (DMRG) algorithm. introduce a method to probe topological phase transitions in systems with strong DMRG, substantiated by an unsupervised machine learning methodology that analyzes orbital structure edges. Including full multi-orbital Hubbard interaction term, we construct diagram as function gap parameter ($m$) and strength ($U$) via exact DMRG...

10.48550/arxiv.2310.17614 preprint EN other-oa arXiv (Cornell University) 2023-01-01
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