Condensed Matter

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DMRG Studies on the Spin Liquid Ground State of the Kagome Model

Stefan Depenbrock Ludwig-Maximilians-Universitiät München (LMU)
February 26, 2013

PIRSA:13020147
Condensed Matter
A K matrix construction of symmetry enriched phases
February 20, 2013

PIRSA:13020140
Condensed Matter
12/13 PSI - Condensed Matter Review Lecture 14

Dmitry Abanin
February 15, 2013

PIRSA:13020088
Condensed Matter
12/13 PSI - Condensed Matter Review Lecture 13

Dmitry Abanin
February 14, 2013

PIRSA:13020087
Condensed Matter
12/13 PSI - Condensed Matter Review Lecture 12

Dmitry Abanin
February 13, 2013

PIRSA:13020086
Condensed Matter
Fractional Quantum Hall States on an infinite cylinder: characterizing topological order and quasiparticle forces using infinite DMRG.

Michael Zaletel University of California, Berkeley
February 12, 2013

PIRSA:13020129
Condensed Matter
12/13 PSI - Condensed Matter Review Lecture 11

Dmitry Abanin
February 12, 2013

PIRSA:13020085
Condensed Matter
12/13 PSI - Condensed Matter Review Lecture 10

Dmitry Abanin
February 11, 2013

PIRSA:13020081
Condensed Matter
12/13 PSI - Condensed Matter Review Lecture 9

Dmitry Abanin
February 11, 2013

PIRSA:13020084
Condensed Matter
12/13 PSI - Condensed Matter Review Lecture 8

Dmitry Abanin
February 07, 2013

PIRSA:13020080
Condensed Matter
12/13 PSI - Condensed Matter Review Lecture 7

Dmitry Abanin
February 06, 2013

PIRSA:13020079
Condensed Matter
Looking for spinon deconfinement in two dimensions

Ying Tang Boston College
February 05, 2013

PIRSA:13020127
Condensed Matter

DMRG Studies on the Spin Liquid Ground State of the Kagome Model

Stefan Depenbrock Ludwig-Maximilians-Universitiät München (LMU)
February 26, 2013

PIRSA:13020147
Condensed Matter
I will present a density-matrix renormalization group (DMRG) study of the S=1/2 Heisenberg antiferromagnet on the kagome lattice to identify the conjectured spin liquid ground state. Exploiting SU(2) spin symmetry, which allows us to keep up to 16,000 DMRG states, we consider cylinders with circumferences up to 17 lattice spacings and find a spin liquid ground state with an estimated per site energy of -0.4386(5), a spin gap of 0.13(1), very short-range decay in spin, dimer and chiral correlation functions and finite topological entanglement consistent with the logarithm of 2, ruling out gapless, chiral or non-topological spin liquids. All this would provide strong evidence for a gapped topological Z_2 spin liquid.
A K matrix construction of symmetry enriched phases
February 20, 2013

PIRSA:13020140
Condensed Matter
We construct in the K matrix formalism concrete examples of symmetry enriched topological phases, namely intrinsically topological phases with global symmetries. We focus on the Abelian and non-chiral topological phases and demonstrate by our examples how the interplay between the global symmetry and the fusion algebra of the anyons of a topologically ordered system determines the existence of gapless edge modes protected by the symmetry and that a (quasi)-group structure can be defined among these phases. Our examples include phases that display charge fractionalization and more exotic non-local anyon exchange under global symmetry that correspond to general group extensions of the global symmetry group.
12/13 PSI - Condensed Matter Review Lecture 14

Dmitry Abanin
February 15, 2013

PIRSA:13020088
Condensed Matter
12/13 PSI - Condensed Matter Review Lecture 13

Dmitry Abanin
February 14, 2013

PIRSA:13020087
Condensed Matter
12/13 PSI - Condensed Matter Review Lecture 12

Dmitry Abanin
February 13, 2013

PIRSA:13020086
Condensed Matter
Fractional Quantum Hall States on an infinite cylinder: characterizing topological order and quasiparticle forces using infinite DMRG.

Michael Zaletel University of California, Berkeley
February 12, 2013

PIRSA:13020129
Condensed Matter
The density matrix renormalization group (DMRG), which has proved so successful in one dimension, has been making the push into higher dimensions, with the fractional quantum Hall (FQH) effect an important target. I'll briefly explain how the infinite DMRG algorithm can be adapted to find the degenerate ground states of a microscopic FQH Hamiltonian on an infinitely long cylinder, then focus on two applications. To characterize the topological order of the phase, I'll show that the bipartite entanglement spectrum of the ground state is sufficient to determine the quasiparticle charges, topological spins, quantum dimensions, chiral central charge, and Hall viscosity of the phase. Then I will show how to introduce localized quasiparticles of fixed topological charge. By pinning a pair of quasiparticles and dragging them into contact, we can directly measure the force curve of their interaction.
12/13 PSI - Condensed Matter Review Lecture 11

Dmitry Abanin
February 12, 2013

PIRSA:13020085
Condensed Matter
12/13 PSI - Condensed Matter Review Lecture 10

Dmitry Abanin
February 11, 2013

PIRSA:13020081
Condensed Matter
12/13 PSI - Condensed Matter Review Lecture 9

Dmitry Abanin
February 11, 2013

PIRSA:13020084
Condensed Matter
12/13 PSI - Condensed Matter Review Lecture 8

Dmitry Abanin
February 07, 2013

PIRSA:13020080
Condensed Matter
12/13 PSI - Condensed Matter Review Lecture 7

Dmitry Abanin
February 06, 2013

PIRSA:13020079
Condensed Matter
Looking for spinon deconfinement in two dimensions

Ying Tang Boston College
February 05, 2013

PIRSA:13020127
Condensed Matter
We have used a recently proposed quantum Monte Carlo algorithm [1] to study spinons (emergent S = 1/2 excitations) in 2D Resonating-Valence-Bond (RVB) spin liquids and in a J-Q model hosting a Neel – Valence Bond Solid (VBS) phase transition at zero temperature [2]. We confirm that spinons are well defined quasi-particles with finite intrinsic size in the RVB spin liquid. The distance distribution between two spinons shows signatures of deconfinement.
However, at the Neel–VBS transition, we found that the size of a single spinon is significantly greater than the bound-state in VBS, which indicates that spinons are “soft” and shrink when bound state is formed. Both spinon size and confinement length diverge as the critical point is approached. We have also compared spinon statistics in J-Q model with bilayer Heisenberg model and 1D spin chain. We conclude that the spinon deconfinement is marginal in the lowest-energy state in the spin-1 sector, due to very weak attractive spinon interactions. Deconfinement in the vicinity of the critical point should occur at higher energies.

Title	Speaker(s)	Date	Talk Type	Info link
DMRG Studies on the Spin Liquid Ground State of the Kagome Model	Stefan Depenbrock	2013-02-26	Scientific Series	View details
A K matrix construction of symmetry enriched phases		2013-02-20	Scientific Series	View details
12/13 PSI - Condensed Matter Review Lecture 14	Dmitry Abanin	2013-02-15	Course	View details
12/13 PSI - Condensed Matter Review Lecture 13	Dmitry Abanin	2013-02-14	Course	View details
12/13 PSI - Condensed Matter Review Lecture 12	Dmitry Abanin	2013-02-13	Course	View details
Fractional Quantum Hall States on an infinite cylinder: characterizing topological order and quasiparticle forces using infinite DMRG.	Michael Zaletel	2013-02-12	Scientific Series	View details
12/13 PSI - Condensed Matter Review Lecture 11	Dmitry Abanin	2013-02-12	Course	View details
12/13 PSI - Condensed Matter Review Lecture 10	Dmitry Abanin	2013-02-11	Course	View details
12/13 PSI - Condensed Matter Review Lecture 9	Dmitry Abanin	2013-02-11	Course	View details
12/13 PSI - Condensed Matter Review Lecture 8	Dmitry Abanin	2013-02-07	Course	View details
12/13 PSI - Condensed Matter Review Lecture 7	Dmitry Abanin	2013-02-06	Course	View details
Looking for spinon deconfinement in two dimensions	Ying Tang	2013-02-05	Scientific Series	View details

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DMRG Studies on the Spin Liquid Ground State of the Kagome Model

A K matrix construction of symmetry enriched phases

12/13 PSI - Condensed Matter Review Lecture 14

12/13 PSI - Condensed Matter Review Lecture 13

12/13 PSI - Condensed Matter Review Lecture 12

Fractional Quantum Hall States on an infinite cylinder: characterizing topological order and quasiparticle forces using infinite DMRG.

12/13 PSI - Condensed Matter Review Lecture 11

12/13 PSI - Condensed Matter Review Lecture 10

12/13 PSI - Condensed Matter Review Lecture 9

12/13 PSI - Condensed Matter Review Lecture 8

12/13 PSI - Condensed Matter Review Lecture 7

Looking for spinon deconfinement in two dimensions

DMRG Studies on the Spin Liquid Ground State of the Kagome Model

A K matrix construction of symmetry enriched phases

12/13 PSI - Condensed Matter Review Lecture 14

12/13 PSI - Condensed Matter Review Lecture 13

12/13 PSI - Condensed Matter Review Lecture 12

Fractional Quantum Hall States on an infinite cylinder: characterizing topological order and quasiparticle forces using infinite DMRG.

12/13 PSI - Condensed Matter Review Lecture 11

12/13 PSI - Condensed Matter Review Lecture 10

12/13 PSI - Condensed Matter Review Lecture 9

12/13 PSI - Condensed Matter Review Lecture 8

12/13 PSI - Condensed Matter Review Lecture 7

Looking for spinon deconfinement in two dimensions