Quantum Cluster Methods for Correlated Materials

Sherbrooke, 6-8 Juillet 2005

Quantum Cluster Methods for Correlated Materials

• Does the Hubbard model have a d-wave superconducting ground state?

• What is the origin of the pseudogap in high-temperature superconductors?

• When do stripes and other inhomogeneous phases appear?

• How can we predict properties of materials with d and f electrons? (or cold atoms)

Quantum Clusters for Correlated Materials

• One-particle properties : Experiment– ARPES (Shen, Damascelli)– Local DOS (Davis, Lupien)

• Spin excitations : Experiment– Neutron (Greven)

Quantum Clusters for Correlated Materials

• ED (Prelovsek)• QMC, DMRG (Scalapino, Moreo,

Sorensen, Prokof’ev, Lin)• Variational methods (Sorella, Paramekanti,

Capello, Becca), • Many-Body (Rice, Marsiglio, Chitov,

Isaksov, Hopkinson)• RG• TPSC (Tremblay, Davoudi, Kyung,

Marsiglio)

Quantum Clusters for Correlated Materials

• Bridges: (Sandvik, Troyer)

• Competing or complementary methods?– DCA (Jarrell, Maier, Macridin) – CDMFT (Kotliar, Kancharla, Kyung)– CPT (Sénéchal, Eder)– VCPT (Potthoff , Sénéchal, Sahebsara,

Tremblay)

Quantum Cluster Methods for Correlated Materials

• Review: Th. Maier, M. Jarrell, Th. Pruschke, M.H. Hettler, RMP (2005)

• Th. Maier, M. Jarrell, Th. Pruschke, and J. Keller PRL 85, 1524 (2000)

• A. Paramekanti, Mohit Randeria, and Nandini Trivedi, PRL 87, 217002 (2001).

• S. Sorella, G. B. Martins, F. Becca, C. Gazza, L. Capriotti, A. Parola, and E. Dagotto PRL 88, 117002 (2002)

• D. Poilblanc and D.J. Scalapino Phys. Rev. B 66, 052513 (2002) (2002)

• D. Sénéchal, P.-L. Lavertu, M.-A. Marois and A.-M.S. Tremblay, PRL 94, 156404 (2005)

• T.A. Maier, M. Jarrell, T.C. Schulthess, P. R. C. Kent, and J.B. White, cond-mat/0504529

Quantum Clusters for Correlated Materials

• A subject for a « Concentration period »– High temperature superconductivity.

Format

• 30 minutes, 15 minutes, – Short questions

• Discussion periods with one or two 5 minute talks (5 hours)

• The USB key man (Dominic)– Those speakers that agree can have their talk on

the PITP web site.

Sign-up sheets

• Banquet tonight (19:10)– Game– Vegetarian.

Sign-up sheets(This afternoon)

• Outdoor activities (Sébastien)– Canoe, Kayak, Walk, River swimming– Bicycle– Hiking

• Mont Bellevue

– Pontoon (Rental) (Swimming)

• Visits– Laboratory for Quantum Materials (Patrick)– Mammouth (Technical visit, fastest computer

in Canada) (Alain)

A fraction of Mammouth

Don’t be shy, talk to each otherHave a great workshop