My field of interest is Quantum Materials.
Such materials reveal emergent properties due to the interplay of novel entanglement and topological properties.
My research has focused on strongly correlated electron systems and topological phases. In particular, I have applied and implemented advanced computational approaches such as the Density Matrix Renormalization Group (DMRG), variational MPS (as one of the tensor network methods), Dynamical DMRG, exact diagonalization, mean-field theory, and Hartree-Fock approximation to investigate charge and spin dynamics in low-dimensional systems.
The work on 'correlated atomic wires on substrates' established a framework for mapping complex surface problems to effective quasi-1D models. This approach makes such anisotropic 3D systems amenable to methods for quasi-1D systems such as DMRG.
The work on asymmetric Hubbard ladders explored the enhancement of pair correlations in such systems and elaborated their usefulness as models for the evolution of pairing in the crossover between charge-transfer and Mott insulators.
The work on alternating Hubbard ladders shows an example of how regular alternation between odd and even numbers of sites across the rungs changes the known behavior of uniform ladders with odd or even numbers of legs. It also provides quantitative results on the general Lieb's theorem on bipartite lattices and reveals the long-range ferrimagnetic order in one of the alternating ladders.
The work on "Strictly one dimensional behavior emerging from dispersive two dimensional system" used topological indices for a novel approach to understand how a 3D substrate can mediate effective coupling between wires on its surface. It established the possibility to realize exact 1D behavior despite the 2D dispersion.
On topological quantum matter, I worked on introducing the concept of 'Carbon Tetris Chains,' which provides a unified approach to study the Haldane phase in coarse-grained triangulene chain models, PPV polymers, and the site-dedged Hubbard ladder. Moreover, it offers a systematic approach to finding or engineering the Haldane state in real materials.
My most recent work, 'Topological phases of coupled Su-Schrieffer-Heeger wires,' establishes the exact phase diagrams for any arbitrary number of coupled SSH wires and lays the groundwork to investigate SPT phases by switching on the on-site interaction until reaching the Heisenberg limit. It also offers a playground to address nonequilibrium and transport properties of such systems.
Letzte Änderung: 08.10.25
