Superconductivity involving finite-momentum pairing can lead to spatial-gap and pair-
density modulations, as well as Bogoliubov Fermi states within the superconducting gap …

Frustration is a ubiquitous phenomenon in many-body physics that influences the nature of
the system in a profound way with exotic emergent behavior. Despite its long research …

Frustrated magnets with degenerate ground states exhibit exotic ground states and rich
phase structures when perturbations and/or thermal fluctuations lift the degeneracy. In two …

We develop a new methodology to contract tensor networks within the corner transfer matrix
renormalization group approach for a wide range of two-dimensional lattice geometries. We …

The corner transfer matrix renormalization group (CTMRG) algorithm has been extensively
used to investigate both classical and quantum two-dimensional (2D) lattice models. The …

Geometrical frustration in correlated systems can give rise to a plethora of ordered states
and intriguing phases. Here, we theoretically analyze vertex-sharing frustrated Kagome …

We consider the vestigial phase with broken time reversal symmetry above the
superconducting transition temperature of a two-component superconductor in two spatial …

Superconductivity involving finite momentum pairing can lead to spatial gap and pair density
modulations, as well as Bogoliubov Fermi states within the superconducting gap. However …

Recently the experimental evidence of a charge-$6 e $ condensed phase in the kagome
superconductor $\mathrm {AV_3Sb_5} $(J. Ge, et. al., Phys. Rev. X 14, 021025 (2024)) has …

This four-chapter dissertation studies the efficient discretization of continuous variable
functions with tensor train representation. The first chapter describes all the methodology …