Typical medium dynamical cluster approximation: Difference between revisions

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The '''Typical Medium Dynamical Cluster Approximation''' ('''TMDCA''') is a non-perturbative approach designed to model and obtain the electronic ground state of strongly correlated many-body systems. It addresses critical aspects of mean-field treatments of [[strongly correlated materials|strongly correlated systems]], such as the lack of an intrinsic order parameter to characterize quantum phase transitions and the description of spatial (or momentum) dependent features. Additionally, the TMDCA tackles the challenge of accurately modeling strongly correlated systems when imperfections disrupt the fundamental assumptions of [[Electronic band structure|band theory]], as seen in [[density functional theory]], such as the independent particle approximation and material homogeneity.<ref>{{cite journal | last1=Ekuma | first1=C.E. | last2=Terletska | first2=H. | last3=Tam | first3=K.-M. | last4=Meng | first4=Z.-Y. | last5=Moreno | first5=J. | last6=Jarrell | first6=M. | title=Typical medium dynamical cluster approximation for the study of Anderson localization in three dimensions | journal=Physical Review B | volume=89 | issue=8 | pages=081107(R) | year=2014 | doi=10.1103/PhysRevB.89.081107|url= https://journals.aps.org/prb/abstract/10.1103/PhysRevB.89.081107| arxiv=1402.4190 | bibcode=2014PhRvB..89h1107E }}</ref> <ref>{{cite journal | last1=Ekuma | first1=C.E. | last2=Dobrosavljević | first2=V. | last3=Gunlycke | first3=D. | title=First-Principles-Based Method for Electron Localization: Application to Monolayer Hexagonal Boron Nitride | journal=Physical Review Letters | volume=118 | pages=106404 | year=2017 | issue=10 | doi=10.1103/PhysRevLett.118.106404|url= https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.118.106404| pmid=28339229 | arxiv=1701.03842 | bibcode=2017PhRvL.118j6404E }}</ref><ref>{{cite journal |last1=Ekuma |first1=C. E. |last2=Moore |first2=C. |last3=Terletska |first3=H. |last4=Tam |first4=K.-M. |last5=Moreno |first5=J. |last6=Jarrell |first6=M. |last7=Vidhyadhiraja |first7=N. S. |title=Finite-cluster typical medium theory for disordered electronic systems |journal=Phys. Rev. B |volume=92 |issue= |pages=014209 |year=2015 |doi=10.1103/PhysRevB.92.014209|url= https://journals.aps.org/prb/abstract/10.1103/PhysRevB.92.014209 }}</ref><ref>{{cite thesis | last=Ekuma | first=Chinedu | title=Towards the Realization of Systematic, Self-Consistent Typical Medium Theory for Interacting Disordered Systems | year=2015 | publisher=Louisiana State University and Agricultural and Mechanical College | degree=PhD | department=Physics and Astronomy | url=https://repository.lsu.edu/gradschool_dissertations/2391/| accessdate=2024-06-04}}</ref>