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- On the existence of a Z2 resonating valence bond (RVB) spin liquid phase on nonbipartite lattices

In this talk, I will discuss the progress/success of

establishing a

Z2 RVB spin liquid phase on the kagome lattice.

For the kagome lattice there exists a parent Hamiltonian

for this state, but even in the absence of a known Hamiltonian, wave functions

of RVB type are interesting as such. I will briefly discuss this Hamiltonian.

Subsequently, I will introduce a Monte Carlo (MC) scheme

to investigate the nearest neighbor version of Anderson's RVB spin-1/2 wave

function on the kagome and on the triangular lattice.

The corresponding RVB wave function on the square lattice

has recently enjoyed much attention, and it was shown that earlier findings

about the criticality of the dimer liquid wave function on the square lattice

qualitatively carry over to the analogous spin liquid wave function on this

lattice.

On bipartite lattices, the spin-1/2 RVB wave functions

are amenable to MC methods based on a loop gas picture. For other lattices,

this method has a sign problem. We present a method that is free of this sign

problem, making use of a Pfaffian presentation of the wave function in the orthogonal

Ising basis. Our results for both open and periodic boundary conditions show

that spin-spin and ``singlet-singlet'' type correlation function are

exponentially decaying.

Time permitting, I will also comment on further issues

stemming from the challenge of proving the existence of a spin liquid phase on

the kagome lattice.

Collection/Series:

Event Type:

Seminar

Scientific Area(s):

Speaker(s):

Event Date:

Friday, February 22, 2013 - 14:30 to 16:00

Location:

Bob Room

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