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SUMMARY: A Numerical Renormalization Group for Continuum One Dimensional S
 ystems - Robert Konik\, Brookhaven National Laboratory
DTSTART:20071210T141500Z
DTEND:20071210T151500Z
UID:TALK9407@talks.cam.ac.uk
CONTACT:Joe Bhaseen
DESCRIPTION:I present a renormalization group (RG) procedure which works n
 aturally on                                   \na wide class of interactin
 g one-dimension models based on perturbed                                 
         \n(possibly strongly) continuum conformal and integrable models. T
 his                                         \nprocedure integrates Wilson'
 s numerical renormalization group with                                    
       \nZamolodchikov's truncated conformal spectrum approach. The key to 
 the                                       \nmethod is that such theories p
 rovide a set of completely understood                                     
     \neigenstates for which matrix elements can be exactly computed. In th
 is                                      \nprocedure the RG flow of physica
 l observables can be studied both                                         
   \nnumerically and analytically.  Furthermore the method is sufficiently 
                                       \nflexible that it can be extended t
 o the study of arrays of coupled one                                      
 \ndimensional systems through a density matrix renormalization group      
                                     \nprocedure.  To                      
                                                                         \n
 demonstrate the approach\, I presents results on the spectrum and         
                                    \ncorrelation                          
                                                                        \nf
 unctions of single quantum Ising chains and coupled arrays thereof.\nI wil
 l also present some preliminary results of single semiconducting\ncarbon n
 anotubes.\n\n\n
LOCATION:TCM Seminar Room\, Cavendish Laboratory
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