scholarly journals Calculation of two-particle quantities in the typical medium dynamical cluster approximation

2017 ◽  
Vol 95 (14) ◽  
Author(s):  
Y. Zhang ◽  
Y. F. Zhang ◽  
S. X. Yang ◽  
K.-M. Tam ◽  
N. S. Vidhyadhiraja ◽  
...  
Keyword(s):  
Cluster Approximation ◽  
Dynamical Cluster Approximation

scholarly journals Mottness collapse and statistical quantum criticality

2011 ◽  
Vol 369 (1941) ◽  
pp. 1599-1625 ◽  
Author(s):  
J. Zaanen ◽  
B. J. Overbosch
Keyword(s):  
Scale Invariance ◽  
Quantum Dynamics ◽  
Cuprate Superconductors ◽  
Quantum Criticality ◽  
Cluster Approximation ◽  
Integral Formalism ◽  
Model Sets ◽  
Sign Structure ◽  
Normal Fermi ◽  
Dynamical Cluster Approximation

We put forward here the case that the anomalous electron states found in cuprate superconductors and related systems are rooted in a deeply non-classical fermion sign structure. The collapse of Mottness, as advocated by Phillips and supported by recent dynamical cluster approximation results on the Hubbard model, sets the necessary microscopic conditions. The crucial insight is due to Weng, who demonstrated that, in the presence of Mottness, the fundamental workings of quantum statistics change, and we will elaborate on the effects of this Weng statistics with an emphasis on characterizing it further using numerical methods. The pseudo-gap physics of the underdoped regime appears as a consequence of the altered statistics and the profound question is how to connect this by a continuous quantum phase transition to the overdoped regime ruled by normal Fermi–Dirac statistics. Proof of principle follows from Ceperley’s constrained path integral formalism, in which states can be explicitly constructed showing a merger of Fermi–Dirac sign structure and scale invariance of the quantum dynamics.

scholarly journals Study of multiband disordered systems using the typical medium dynamical cluster approximation

2015 ◽  
Vol 92 (20) ◽  
Author(s):  
Yi Zhang ◽  
Hanna Terletska ◽  
C. Moore ◽  
Chinedu Ekuma ◽  
Ka-Ming Tam ◽  
...  
Keyword(s):  
Disordered Systems ◽  
Cluster Approximation ◽  
Dynamical Cluster Approximation

scholarly journals Mott transition in the triangular lattice Hubbard model: A dynamical cluster approximation study

2015 ◽  
Vol 91 (15) ◽  
Author(s):  
Hung T. Dang ◽  
Xiao Yan Xu ◽  
Kuang-Shing Chen ◽  
Zi Yang Meng ◽  
Stefan Wessel
Keyword(s):  
Hubbard Model ◽  
Triangular Lattice ◽  
Mott Transition ◽  
Cluster Approximation ◽  
Dynamical Cluster Approximation

scholarly journals Dynamical cluster approximation: Nonlocal dynamics of correlated electron systems

2000 ◽  
Vol 61 (19) ◽  
pp. 12739-12756 ◽  
Author(s):  
M. H. Hettler ◽  
M. Mukherjee ◽  
M. Jarrell ◽  
H. R. Krishnamurthy
Keyword(s):  
Electron Systems ◽  
Cluster Approximation ◽  
Correlated Electron Systems ◽  
Correlated Electron ◽  
Dynamical Cluster Approximation

Dynamical Cluster Approximation

2011 ◽  
pp. 271-302 ◽  
Author(s):  
H. Fotso ◽  
S. Yang ◽  
K. Chen ◽  
S. Pathak ◽  
J. Moreno ◽  
...  
Keyword(s):  
Cluster Approximation ◽  
Dynamical Cluster Approximation

The Dynamical Cluster Approximation with Quantum Monte Carlo Cluster Solvers

2008 ◽  
Author(s):  
M. Jarrell ◽  
A. Macridin ◽  
K. Mikelsons ◽  
D. G. S. P. Doluweera ◽  
J. E. Gubernatis ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Quantum Monte Carlo ◽  
Cluster Approximation ◽  
Dynamical Cluster Approximation
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