The presence of algebraically decaying long-range interactions may alter the critical as well
as topological behaviour of a quantum many-body systems. However, when the interaction …

In this Tutorial, we give a pedagogical introduction to Majorana bound states (MBSs) arising
in semiconducting nanostructures. We start by briefly reviewing the well-known Kitaev chain …

Within the ultimate goal of classifying universality in quantum many-body dynamics,
understanding the relation between out-of-equilibrium and equilibrium criticality is a crucial …

Critical phase transitions contain a variety of deep and universal physics and are intimately
tied to thermodynamic quantities through scaling relations. Yet, these notions are …

In this paper we complete the study on the asymptotic behavior of the entanglement entropy
for Kitaev chains with long-range pairing. We discover that when the couplings decay with …

Topological phase transitions occur in real materials as well as quantum engineered
systems, all of which differ greatly in terms of dimensionality, symmetries, interactions, and …

In an attempt to theoretically investigate the quantum phase transition and criticality in
topological models, we study a Kitaev chain with longer-range couplings (finite number of …

We report on the discovery of a quantum tricritical point (QTP) separating a line of first-order
topological quantum phase transitions from a continuous transition regime in a strongly …

We study the one-dimensional Kitaev chain with long-range superconductive pairing terms
at a finite temperature where the system is prepared in a mixed state in equilibrium with a …

We investigate the order of the topological quantum phase transition in a two-dimensional
quadrupolar topological insulator within a thermodynamic approach. Using numerical …