Anderson Localization and the Quantum Phase Diagram of Three Dimensional Disordered Dirac Semimetals

Physical Review Letters
J H PixleyS Das Sarma

Abstract

We study the quantum phase diagram of a three dimensional noninteracting Dirac semimetal in the presence of either quenched axial or scalar potential disorder, by calculating the average and the typical density of states as well as the inverse participation ratio using numerically exact methods. We show that as a function of the disorder strength a half-filled (i.e., undoped) Dirac semimetal displays three distinct ground states, namely an incompressible semimetal, a compressible diffusive metal, and a localized Anderson insulator, in stark contrast to a conventional dirty metal that only supports the latter two phases. We establish the existence of two distinct quantum critical points, which respectively govern the semimetal-metal and the metal-insulator quantum phase transitions and also reveal their underlying multifractal nature. Away from half-filling the (doped) system behaves as a diffusive metal that can undergo Anderson localization only, which is shown by determining the mobility edge and the phase diagram in terms of energy and disorder.

References

Feb 7, 2007·Physical Review Letters·I L Aleiner, K B Efetov
Feb 7, 2007·Physical Review Letters·Alexander Altland
Dec 21, 2011·Physical Review Letters·Pallab Goswami, Sudip Chakravarty
Dec 12, 2012·Physical Review Letters·Matthew BrahlekSeongshik Oh
May 9, 2014·Nature Communications·Madhab NeupaneM Zahid Hasan
May 27, 2014·Nature Materials·Z K LiuY L Chen
Jul 26, 2014·Physical Review Letters·Björn SbierskiPiet W Brouwer
Jul 26, 2014·Physical Review Letters·Sergey BorisenkoRobert J Cava
Jan 17, 2015·Science·Su-Yang XuM Zahid Hasan
May 9, 2015·Physical Review Letters·S V SyzranovV Gurarie

❮ Previous
Next ❯

Citations

Feb 27, 2016·Physical Review Letters·Shang LiuRyuichi Shindou
Nov 1, 2017·Scientific Reports·Ying SuX R Wang
Jun 5, 2018·Physical Review Letters·J H PixleySarang Gopalakrishnan
Dec 6, 2018·Physical Review Letters·Michael BuchholdAlexander Altland
Dec 27, 2015·Physical Review Letters·Chui-Zhen ChenX C Xie
Aug 31, 2016·Scientific Reports·Bitan RoySankar Das Sarma
Jun 18, 2017·Physical Review Letters·Bitan RoyJay D Sau
Apr 18, 2020·Physical Review Letters·Miguel GonçalvesMiguel A N Araújo

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

© 2021 Meta ULC. All rights reserved