The L in addition to scape of the Hubbard model Talk online: sachdev.physics.harvard.edu Subi

The L in addition to scape of the Hubbard model Talk online: sachdev.physics.harvard.edu Subi www.phwiki.com

The L in addition to scape of the Hubbard model Talk online: sachdev.physics.harvard.edu Subi

Moore, Paula, Host has reference to this Academic Journal, PHwiki organized this Journal The L in addition to scape of the Hubbard model Talk online: sachdev.physics.harvard.edu Subir Sachdev Highly Frustrated Magnetism 2010 Johns Hopkins University August 1 The Hubbard Model Will study the honeycomb in addition to square lattices. 1. Honeycomb lattice: semi-metal in addition to antiferromagnetism Dirac fermions in addition to the Gross-Neveu model 2. Spin liquids Unified as long as mulation as a SO(4) gauge theory 3. Instabilities of spin liquids Geometric phases, valence bond solids, in addition to other competing orders Outline

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Cenke Xu Harvard UCSB Liang Fu Harvard Physical Review Letters 105, 057201 (2010) in addition to to appear Outline 1. Honeycomb lattice: semi-metal in addition to antiferromagnetism Dirac fermions in addition to the Gross-Neveu model 2. Spin liquids Unified as long as mulation as a SO(4) gauge theory 3. Instabilities of spin liquids Geometric phases, valence bond solids, in addition to other competing orders The Hubbard Model

Graphene Graphene Semi-metal with massless Dirac fermions Brilluoin zone Graphene Dirac semi-metal Insulating antiferromagnet with Neel order

Outline 1. Honeycomb lattice: semi-metal in addition to antiferromagnetism Dirac fermions in addition to the Gross-Neveu model 2. Spin liquids Unified as long as mulation as a SO(4) gauge theory 3. Instabilities of spin liquids Geometric phases, valence bond solids, in addition to other competing orders Outline 1. Honeycomb lattice: semi-metal in addition to antiferromagnetism Dirac fermions in addition to the Gross-Neveu model 2. Spin liquids Unified as long as mulation as a SO(4) gauge theory 3. Instabilities of spin liquids Geometric phases, valence bond solids, in addition to other competing orders

Quantum “disordering” magnetic order Quantum “disordering” magnetic order

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Quantum “disordering” magnetic order Quantum “disordering” magnetic order S. Sachdev, M. A. Metlitski, Y. Qi, in addition to S. Sachdev Phys. Rev. B 80, 155129 (2009) Quantum “disordering” magnetic order

Quantum “disordering” magnetic order Projected fermion wavefunctions (Fisher, Wen, Lee, Kim,Senthil)

“Frustration” S=1/2 square lattice antiferromagnetic insulator Phase diagram “Frustration” Semi-metal Insulator with Neel order Spin liquid: CFT of SU(2) QCD with Nf =4 massless Dirac quarks Confining insulator with VBS (kekule) order

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