scholarly journals Theory of strongly phase fluctuating d-wave superconductors and the spin response in underdoped cuprates

2004 ◽  
Vol 408-410 ◽  
pp. 414-415 ◽  
Author(s):  
Igor F. Herbut
1998 ◽  
Vol 12 (29n31) ◽  
pp. 2990-2994
Author(s):  
Andrey V. Chubukov

We present the theory of the leading edge gap in the normal state of underdoped high-T c materials. The consideration is based on a magnetic scenario for cuprates. We show that as doping decreases, the increasing interaction with paramagnons gives rise to a near destruction of the quasiparticle peak near (0, π) and symmetry related points. We then solve the d-wave pairing problem and show that the actual T c decreases with the strength of the coherent quasiparticle peak, but the precursors to d-wave state exist above T c even for fully incoherent quasiparticles.


2005 ◽  
Vol 19 (25) ◽  
pp. 1295-1302 ◽  
Author(s):  
W. P. SU

To understand the interplay of d-wave superconductivity and antiferromagnetism in the cuprates, we consider a two-dimensional extended Hubbard model with nearest neighbor attractive interaction. Free energy of the homogeneous (coexisting superconducting and antiferromagnetic) state calculated as a function of the band filling shows a region of phase separation. The phase separation caused by the intersite attractive force leads to novel insights into salient features of the pseudogap phase diagram. In particular, the upper crossover curve can be identified with the phase separation boundary. At zero temperature, the boundary constitutes a critical point. The inhomogeneity observed in the underdoped cuprates is a consequence of incomplete phase separation. The disorder (inhomogeneity) brings about the disparity between the high pseudogap temperature and the low bulk superconducting transition temperature.


2010 ◽  
Vol 12 (5) ◽  
pp. 053043 ◽  
Author(s):  
Markus Schmid ◽  
Brian M Andersen ◽  
Arno P Kampf ◽  
P J Hirschfeld
Keyword(s):  

2003 ◽  
Vol 17 (09) ◽  
pp. 361-373 ◽  
Author(s):  
SHIPING FENG ◽  
TIANXING MA ◽  
JIHONG QIN

We develop a partial charge-spin separation fermion-spin theory implemented by the gauge invariant dressed holon and spinon. In this novel approach, the physical electron is decoupled as the gauge invariant dressed holon and spinon, with the dressed holon behaviors like a spinful fermion, and represents the charge degree of freedom together with the phase part of the spin degree of freedom, while the dressed spinon is a hard-core boson, and represents the amplitude part of the spin degree of freedom, then the electron single occupancy local constraint is satisfied. Within this approach, the charge transport and spin response of the underdoped cuprates is studied. It is shown that the charge transport is mainly governed by the scattering from the dressed holons due to the dressed spinon fluctuation, while the scattering from the dressed spinons due to the dressed holon fluctuation dominates the spin response.


2020 ◽  
Vol 102 (11) ◽  
Author(s):  
Qi Wu ◽  
Dian-Yong Chen ◽  
Takayuki Matsuki
Keyword(s):  

Algorithms ◽  
2021 ◽  
Vol 14 (6) ◽  
pp. 187
Author(s):  
Aaron Barbosa ◽  
Elijah Pelofske ◽  
Georg Hahn ◽  
Hristo N. Djidjev

Quantum annealers, such as the device built by D-Wave Systems, Inc., offer a way to compute solutions of NP-hard problems that can be expressed in Ising or quadratic unconstrained binary optimization (QUBO) form. Although such solutions are typically of very high quality, problem instances are usually not solved to optimality due to imperfections of the current generations quantum annealers. In this contribution, we aim to understand some of the factors contributing to the hardness of a problem instance, and to use machine learning models to predict the accuracy of the D-Wave 2000Q annealer for solving specific problems. We focus on the maximum clique problem, a classic NP-hard problem with important applications in network analysis, bioinformatics, and computational chemistry. By training a machine learning classification model on basic problem characteristics such as the number of edges in the graph, or annealing parameters, such as the D-Wave’s chain strength, we are able to rank certain features in the order of their contribution to the solution hardness, and present a simple decision tree which allows to predict whether a problem will be solvable to optimality with the D-Wave 2000Q. We extend these results by training a machine learning regression model that predicts the clique size found by D-Wave.


1994 ◽  
Vol 49 (2) ◽  
pp. 1397-1402 ◽  
Author(s):  
Hyekyung Won ◽  
Kazumi Maki
Keyword(s):  

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