scholarly journals Exactly soluble model of a three-dimensional symmetry-protected topological phase of bosons with surface topological order

2014 ◽  
Vol 90 (24) ◽  
Author(s):  
F. J. Burnell ◽  
Xie Chen ◽  
Lukasz Fidkowski ◽  
Ashvin Vishwanath
Keyword(s):  
Three Dimensional ◽  
Topological Order ◽  
Topological Phase ◽  
Soluble Model ◽  
Exactly Soluble Model ◽  
Symmetry Protected

Exactly soluble model of multi-species anyons and the braid group on a torus

1994 ◽  
Vol 419 (3) ◽  
pp. 529-552 ◽  
Author(s):  
Ikuo Ichinose ◽  
Toshiyuki Ohbayashi
Keyword(s):  
Braid Group ◽  
Soluble Model ◽  
Exactly Soluble Model

Study of Electron Correlation in Helium-Like Systems Using an Exactly Soluble Model

1962 ◽  
Vol 128 (6) ◽  
pp. 2687-2692 ◽  
Author(s):  
Neil R. Kestner ◽  
Oktay Sinanoḡlu
Keyword(s):  
Electron Correlation ◽  
Soluble Model ◽  
Exactly Soluble Model

scholarly journals Unveiling Signatures of Topological Phases in Open Kitaev Chains and Ladders

Nanomaterials ◽  
2019 ◽  
Vol 9 (6) ◽  
pp. 894 ◽  
Author(s):  
Alfonso Maiellaro ◽  
Francesco Romeo ◽  
Carmine Antonio Perroni ◽  
Vittorio Cataudella ◽  
Roberta Citro
Keyword(s):  
Electrical Response ◽  
Differential Conductance ◽  
Model Parameters ◽  
Topological Phases ◽  
Topological Order ◽  
Topological Phase ◽  
Moderate Amount ◽  
Topological System ◽  
Isolated Systems

In this work, the general problem of the characterization of the topological phase of an open quantum system is addressed. In particular, we study the topological properties of Kitaev chains and ladders under the perturbing effect of a current flux injected into the system using an external normal lead and derived from it via a superconducting electrode. After discussing the topological phase diagram of the isolated systems, using a scattering technique within the Bogoliubov–de Gennes formulation, we analyze the differential conductance properties of these topological devices as a function of all relevant model parameters. The relevant problem of implementing local spectroscopic measurements to characterize topological systems is also addressed by studying the system electrical response as a function of the position and the distance of the normal electrode (tip). The results show how the signatures of topological order affect the electrical response of the analyzed systems, a subset of which being robust also against the effects of a moderate amount of disorder. The analysis of the internal modes of the nanodevices demonstrates that topological protection can be lost when quantum states of an initially isolated topological system are hybridized with those of the external reservoirs. The conclusions of this work could be useful in understanding the topological phases of nanowire-based mesoscopic devices.

scholarly journals Detecting subsystem symmetry protected topological order via entanglement entropy

2019 ◽  
Vol 100 (11) ◽  
Author(s):  
David T. Stephen ◽  
Henrik Dreyer ◽  
Mohsin Iqbal ◽  
Norbert Schuch
Keyword(s):  
Entanglement Entropy ◽  
Topological Order ◽  
Symmetry Protected
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