Localized spin systems : from BEC to Luttiger liquids T. Giamarchi - PowerPoint PPT Presentation

Oct 20, 2023 •184 likes •2.08k views

Localized spin systems : from BEC to Luttiger liquids T. Giamarchi http://dpmc.unige.ch/gr_giamarchi/ A. Tsvelik (BNL) R. Chitra (Jussieu) A. Tsvelik (BNL) R. Chitra (Jussieu) E. Orignac (ENS-Lyon) R. Citro (Salerno U.) A. Tsvelik (BNL)

Bose glass phase TG + H. J. Schulz PRB 37 325 (1988); M.P.A. Fisher et al. PRB 40 546 (1989) T. Hong, A. Zheludev, H. Manaka L.P. Regault, arXiv/0909.1496 IPA-Cu(Cl0.95Br0.05) 3 d m/d h = compressibility h S x i = h Ã i superfluid order parameter
Tomonaga Luttinger Liquid
What about d= 1 ?
What about d= 1 ?
What about d= 1 ? J
What about d= 1 ? J J’
What about d= 1 ?  1D : no BEC J J’  1D : hard core bosons are (spinless) fermions !
What about d= 1 ?  1D : no BEC J J’  1D : hard core bosons are (spinless) fermions !
What about d= 1 ?  1D : no BEC J J’  1D : hard core bosons are (spinless) fermions !  Allow to study interacting fermions/bosons: Tomonaga Luttinger liquid
Tomonaga Luttinger liquid theory ( ) = + π 2 K 1 1 S ( ) x S (0) cos( x a / ) z z 2 x x

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