Correlated Systems with Multicomponent Local Hilbert Spaces

Coordinators: George Jackeli, Natasha Perkins, Lucile Savary, and Oskar Vafek

KITP and the program coordinators will be delivering remote talk sessions to this program's participants. 

Theorists often idealize descriptions of solids via simple models, e.g. Ising or Hubbard, with a very small local Hilbert space. Typically, magnetic models involve s=1/2 spins on a lattice, and conductors are usually modeled by one or two bands. Similarly, many systems exist where magnetic and fermionic degrees of freedom are coupled, e.g. Kondo systems and itinerant magnets, but the minimal physics is usually simple, and the models are often considered in extreme limits. What happens when the local Hilbert space is larger and one must consider multiple entangled degrees of freedom? The focus of attention of the condensed matter community has gradually been shifting towards physical systems where the latter appears to be true. While some of these systems have been known for decades, a number of experimental and theoretical discoveries of strongly correlated phenomena have caused a notable revival of interest in the field. For example, the interplay of magnetism and topological band structures, and twisted bilayer graphene have proven to be very fertile areas.

This program will address the following questions: What entangled phases can one generate out of spin-orbital models? Are the natural/physical interactions different in band touching systems? What phases can result from the coupling of two strongly interacting systems, magnetic and conducting? How much of this physics exists in magic-angle twisted bilayer graphene and other moiré systems? Can such systems realize models akin to the SYK model which itself involves the coupling of N orbitals? What are the prospects for studying these systems with numerics?


2020

Monday, Sep 28, 2020

  • 08:00AM ONLINE MEETING ROOM 2

     

    • 08:00AM Organizational meeting

2020

Monday, Sep 28, 2020

  • 08:00AM ONLINE MEETING ROOM 2

     

    • 08:00AM Organizational meeting

2020

Tuesday, Sep 29, 2020

  • 08:00AM ONLINE MEETING ROOM 2

     

    • 08:00AM Jason Alicea (Caltech) TBA
  • 08:50AM ONLINE MEETING ROOM 2

     

    • 08:50AM Jennifer Cano (Stony Brook) TBA

2020

Wednesday, Sep 30, 2020

No talks scheduled.

2020

Thursday, Oct 01, 2020

  • 08:00AM ONLINE MEETING ROOM 2

     

    • 08:00AM Tarun Grover (UCSD) TBA
  • 08:50AM ONLINE MEETING ROOM 2

     

    • 08:50AM Alexander Altland (Univ. of Cologne) TBA

2020

Friday, Oct 02, 2020

No talks scheduled.

2020

Saturday, Oct 03, 2020

No talks scheduled.

2020

Sunday, Oct 04, 2020

No talks scheduled.

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  • 08:00AM
    08:00AM ONLINE MEETING ROOM 2
    • 08:00AM Organizational meeting
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  • 08:50AM
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    • 08:00AM Jason Alicea (Caltech) TBA
    08:50AM ONLINE MEETING ROOM 2
    • 08:50AM Jennifer Cano (Stony Brook) TBA
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