2011
Zaanen, J.; Overbosch, B. J.
Mottness collapse and statistical quantum criticality Tijdschriftartikel
In: PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 369, nr. 1941, pp. 1599-1625, 2011, ISSN: 1364-503X.
Abstract | Links | BibTeX | Tags: quantum statistics; quantum phase transition; t-J model; path integral; high-temperature superconductivity; resonating valence bond theory
@article{WOS:000288852100003,
title = {Mottness collapse and statistical quantum criticality},
author = {J. Zaanen and B. J. Overbosch},
doi = {10.1098/rsta.2010.0188},
issn = {1364-503X},
year = {2011},
date = {2011-04-01},
journal = {PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL
AND ENGINEERING SCIENCES},
volume = {369},
number = {1941},
pages = {1599-1625},
publisher = {ROYAL SOC},
address = {6-9 CARLTON HOUSE TERRACE, LONDON SW1Y 5AG, ENGLAND},
abstract = {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.},
keywords = {quantum statistics; quantum phase transition; t-J model; path integral; high-temperature superconductivity; resonating valence bond theory},
pubstate = {published},
tppubtype = {article}
}
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.
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.