### Session Y41: Strongly Correlated Systems - Theory

8:00 AM–11:00 AM, Friday, March 19, 2010
Room: F152

Chair: Eun-Ah Kim, Cornell University

Abstract ID: BAPS.2010.MAR.Y41.6

### Abstract: Y41.00006 : Magnetic response of the Extremely correlated electron liquid

9:00 AM–9:12 AM

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#### Authors:

Arti Garg
(Department of Physics, University of California, 1156 High Street Santa Cruz, CA 95064)

Daniel Hansen
B. Sriram Shastry

We study the magnetic susceptibility and Nuclear magnetic resonance (NMR) relaxation rates for the $t$-$J$ model within the recently proposed theory of Extremely Correlated Quantum Liquid (ECQL) [1]. The basic theory of ECQL and its spectral functions are presented elsewhere [1-2]. This theory leads to a sequence of systematic conserving schemes that satisfy the constraint of rotation invariance and gauge invariance via the Nozieres relations and Ward identities. As a first example, we present the results of a non linear RPA type scheme valid near half filling. A characteristic feature of this scheme is that the bandwidth gets renormalized by a factor that is a function of static spin and charge correlations. The resulting dynamical magnetic susceptibilities and NMR relaxation rates are presented and compared with experiments on High Tc systems. [1] Extremely Correlated Quantum Liquids, B. Sriram Shastry Preprint (2009) and (APS March Meeting 2010). [2] Spectral functions of the Extremely correlated electron liquid, Daniel Hansen, Arti Garg, and B. Sriram Shastry (APS March meeting 2010).

To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2010.MAR.Y41.6