"Six-vertex model and Quantum XXZ Hamiltonian"의 두 판 사이의 차이

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* http://ko.wikipedia.org/wiki/
 
* http://ko.wikipedia.org/wiki/
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* http://en.wikipedia.org/wiki/http://en.wikipedia.org/wiki/Ice-type_model
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* [http://en.wikipedia.org/wiki/http://en.wikipedia.org/wiki/Ice-type_model ][http://en.wikipedia.org/wiki/http://en.wikipedia.org/wiki/Ice-type_model ][http://en.wikipedia.org/wiki/http://en.wikipedia.org/wiki/Ice-type_model ][http://en.wikipedia.org/wiki/http://en.wikipedia.org/wiki/Ice-type_model ]http://en.wikipedia.org/wiki/http://en.wikipedia.org/wiki/Ice-type_model
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* [http://en.wikipedia.org/wiki/Heisenberg_model_%28quantum%29 http://en.wikipedia.org/wiki/Heisenberg_model_(quantum)]
 
* http://en.wikipedia.org/wiki/
 
* http://en.wikipedia.org/wiki/
 
* Princeton companion to mathematics([[2910610/attachments/2250873|Companion_to_Mathematics.pdf]])
 
* Princeton companion to mathematics([[2910610/attachments/2250873|Companion_to_Mathematics.pdf]])
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* [http://arxiv.org/abs/hep-th/9204064 Diagonalization of the XXZ Hamiltonian by Vertex Operators]<br>
 
* [http://arxiv.org/abs/hep-th/9204064 Diagonalization of the XXZ Hamiltonian by Vertex Operators]<br>
 
** Authors: Brian Davies, Omar Foda, Michio Jimbo, Tetsuji Miwa, Atsushi Nakayashiki, 1993
 
** Authors: Brian Davies, Omar Foda, Michio Jimbo, Tetsuji Miwa, Atsushi Nakayashiki, 1993
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* E. H. Lieb, [http://link.aps.org/doi/10.1103/PhysRevLett.18.692 Phys. Rev. Letters18, 692 (1967)]
 
*  Exact Solution of the F Model of An Antiferroelectric<br>
 
*  Exact Solution of the F Model of An Antiferroelectric<br>
 
** E.H. Lieb. <em>Phys. Rev.</em> '''18''' (1967), p. 1046. [http://www.sciencedirect.com/science?_ob=RedirectURL&_method=outwardLink&_partnerName=3&_originPage=article&_zone=art_page&_targetURL=http%3A%2F%2Fdx.doi.org%2F10.1103%252FPhysRevLett.18.1046&_acct=C000059607&_version=1&_userid=4420&md5=d9763691bc80a397c59ec4e9e3ef0891 Full Text via CrossRef]
 
** E.H. Lieb. <em>Phys. Rev.</em> '''18''' (1967), p. 1046. [http://www.sciencedirect.com/science?_ob=RedirectURL&_method=outwardLink&_partnerName=3&_originPage=article&_zone=art_page&_targetURL=http%3A%2F%2Fdx.doi.org%2F10.1103%252FPhysRevLett.18.1046&_acct=C000059607&_version=1&_userid=4420&md5=d9763691bc80a397c59ec4e9e3ef0891 Full Text via CrossRef]

2010년 2월 25일 (목) 15:49 판

introduction
  • XXZ spin chain and the six-vertex transfer matrix have the same eigenvectors
  • Boltzmann weights
  • monodromy matrix
  • trace of monodromy matrix is the transfer matrix
  • power of transfer matrix becomes the partition function

 

 

types of six vertex models
  • on a square lattice with periodic boundary conditions
  • on a square lattice with domain wall boundary conditions 

 

transfer matrix
  • finding eigenvalues and eigenvectors of transfer matrix is crucial
  • Bethe ansatz equation is used to find the eigenvectors and eigenvalues

 

 

partition function

 

 

free energy
  • \(F=-kT \ln Z\)

 

 

correlation functions

 

 

 

related items

 

 

books

 

 

encyclopedia

 

 

blogs

 

Method for calculating finite size corrections in Bethe ansatz systems: Heisenberg chain and six-vertex model
de Vega, H. J.; Woynarovich, F.

articles

 

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