Quantum Groups, Strings and HTSC materials II

Alam, Sher; Rahman, M. O.; Yanagisawa, Takashi; Ōyanagi, H.

doi:10.48550/arxiv.cond-mat/0110015

2001

DOI: 10.48550/arxiv.cond-mat/0110015

|View full text |Cite

Preprint

Quantum Groups, Strings and HTSC materials II

Sher Alam¹,

M. O. Rahman²,

Takashi Yanagisawa³

et al.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2003

Publication Types

Select...

Article1

Relationship

Self Cite1

Independent0

Authors

Journals

Cited by 1 publication

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Quantum group based theory for antiferromagnetism and superconductivity: proof and further evidence

Alam

Mamun

Yanagisawa

et al. 2003

Physica C: Superconductivity

Self Cite

View full text Add to dashboard Cite

Previously one of us presented a conjecture [APF-4 Proceedings] to model antiferromagnetism and high temperature superconductivity and their 'unification' by quantum group symmetry rather than the corresponding classical symmetry in view of the critique by Baskaran and Anderson of Zhang's classical SO(5) model. This conjecture was further sharpened, experimental evidence and the important role of 1-d systems [stripes] was emphasized and moreover the relationship between quantum groups and strings via WZWN models were given in [Phys. Lett A272, (2000)]. In this brief note we give and discuss mathematical proof of this conjecture, which completes an important part of this idea, since previously an explicit simple mathematical proof was lacking. Moreover an independent calculation [IC/99/2] which constructs the generators forming SO(5) algebra not only supports our previous conjecture but provides a check on our calculations. It is important to note that in terms of physics that the arbitariness [freedom] of the d-wave factor g 2 (k) is tied to quantum group symmetry whereas in order to recover classical SO(5) one must set it to unity in an adhoc manner. We intuitively expect that this freedom may be related to psuedogap behaviour in cuprates.

show abstract

Quantum group based theory for antiferromagnetism and superconductivity: proof and further evidence

Alam

Mamun

Yanagisawa

et al. 2003

Physica C: Superconductivity

Self Cite

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Quantum Groups, Strings and HTSC materials II

Cited by 1 publication

References 3 publications

Quantum group based theory for antiferromagnetism and superconductivity: proof and further evidence

Quantum group based theory for antiferromagnetism and superconductivity: proof and further evidence

Contact Info

Product

Resources

About