The Luttinger Sum Rule in Doped Spin Liquids With some speculations about the Pseudogap Phase of the Underdoped Cuprates

2006 ◽  
Author(s):  
T. M. Rice
Keyword(s):  
Spin Liquids ◽  
Sum Rule ◽  
Pseudogap Phase ◽  
Underdoped Cuprates

scholarly journals Magnetism and Superconductivity in the Pseudogap Phase of Underdoped Cuprates

2013 ◽  
Vol 449 ◽  
pp. 012006 ◽  
Author(s):  
A J A James ◽  
R M Konik ◽  
K Huang ◽  
W-Q Chen ◽  
T M Rice ◽  
...  
Keyword(s):  
Pseudogap Phase ◽  
Underdoped Cuprates

scholarly journals Fluctuations and the Higgs Mechanism in Underdoped Cuprates

2020 ◽  
Vol 11 (1) ◽  
pp. 301-323 ◽  
Author(s):  
C. Pépin ◽  
D. Chakraborty ◽  
M. Grandadam ◽  
S. Sarkar
Keyword(s):  
High Temperature ◽  
Cuprate Superconductors ◽  
High Temperature Superconductivity ◽  
Higgs Mechanism ◽  
Pseudogap Phase ◽  
Theoretical Approaches ◽  
Underdoped Region ◽  
Underdoped Cuprates ◽  
The Rich ◽  
Ubiquitous Presence

The physics of the pseudogap phase of high-temperature cuprate superconductors has been an enduring mystery over the past 30 years. The ubiquitous presence of the pseudogap phase in underdoped cuprates suggests that understanding it is key to unraveling the origin of high-temperature superconductivity. We review various theoretical approaches to this problem, emphasizing the concept of emergent symmetries in the underdoped region of those compounds. We differentiate these theories by considering a few fundamental questions related to the rich phenomenology of these materials. Lastly, we discuss a recent idea regarding two kinds of entangled preformed pairs that open a gap at the pseudogap onset temperature, T*, through a specific Higgs mechanism. We review the experimental consequences of this line of thought.

scholarly journals INTERPLAY OF D-WAVE SUPERCONDUCTIVITY AND ANTIFERROMAGNETISM IN THE CUPRATE SUPERCONDUCTORS: PHASE SEPARATION AND THE PSEUDOGAP PHASE DIAGRAM

2005 ◽  
Vol 19 (25) ◽  
pp. 1295-1302 ◽  
Author(s):  
W. P. SU
Keyword(s):  
Phase Diagram ◽  
Phase Separation ◽  
Cuprate Superconductors ◽  
Nearest Neighbor ◽  
Superconducting Transition ◽  
Zero Temperature ◽  
Pseudogap Phase ◽  
Underdoped Cuprates ◽  
D Wave ◽  
Interaction Free Energy

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.

scholarly journals Cwebs beyond three loops in multiparton amplitudes

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Neelima Agarwal ◽  
Lorenzo Magnea ◽  
Sourav Pal ◽  
Anurag Tripathi
Keyword(s):  
Gauge Theories ◽  
Anomalous Dimension ◽  
Wilson Line ◽  
Building Blocks ◽  
Feynman Diagrams ◽  
Loop Order ◽  
Abelian Gauge ◽  
Sum Rule ◽  
Combinatorial Properties ◽  
Low Dimensional

Abstract Correlators of Wilson-line operators in non-abelian gauge theories are known to exponentiate, and their logarithms can be organised in terms of collections of Feynman diagrams called webs. In [1] we introduced the concept of Cweb, or correlator web, which is a set of skeleton diagrams built with connected gluon correlators, and we computed the mixing matrices for all Cwebs connecting four or five Wilson lines at four loops. Here we complete the evaluation of four-loop mixing matrices, presenting the results for all Cwebs connecting two and three Wilson lines. We observe that the conjuctured column sum rule is obeyed by all the mixing matrices that appear at four-loops. We also show how low-dimensional mixing matrices can be uniquely determined from their known combinatorial properties, and provide some all-order results for selected classes of mixing matrices. Our results complete the required colour building blocks for the calculation of the soft anomalous dimension matrix at four-loop order.

scholarly journals Correlation holes and slow dynamics induced by fractional statistics in gapped quantum spin liquids

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Oliver Hart ◽  
Yuan Wan ◽  
Claudio Castelnovo
Keyword(s):  
Transport Properties ◽  
Realistic Model ◽  
Feedback Mechanism ◽  
Quantum Spin ◽  
Spin Liquid ◽  
Spin Liquids ◽  
Slow Dynamics ◽  
Temperature Dependent ◽  
Quantum Spin Liquids ◽  
Quantum Spin Liquid

AbstractRealistic model Hamiltonians for quantum spin liquids frequently exhibit a large separation of energy scales between their elementary excitations. At intermediate, experimentally relevant temperatures, some excitations are sparse and hop coherently, whereas others are thermally incoherent and dense. Here, we study the interplay of two such species of quasiparticle, dubbed spinons and visons, which are subject to nontrivial mutual statistics – one of the hallmarks of quantum spin liquid behaviour. Our results for $${{\mathbb{Z}}}_{2}$$ Z 2 quantum spin liquids show an intriguing feedback mechanism, akin to the Nagaoka effect, whereby spinons become localised on temperature-dependent patches of expelled visons. This phenomenon has important consequences for the thermodynamic and transport properties of the system, as well as for its response to quenches in temperature. We argue that these effects can be measured in experiments and may provide viable avenues for obtaining signatures of quantum spin liquid behaviour.

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