Condensed Matter

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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 Princeton University
February 12, 2013

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

Dmitry Abanin Princeton University
February 11, 2013

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

Dmitry Abanin Princeton University
February 11, 2013

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

Dmitry Abanin Princeton University
February 07, 2013

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

Dmitry Abanin Princeton University
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
12/13 PSI - Condensed Matter Review Lecture 6

Dmitry Abanin Princeton University
February 04, 2013

PIRSA:13020077
Condensed Matter
12/13 PSI - Condensed Matter Review Lecture 5

Alioscia Hamma University of Naples Federico II
February 01, 2013

PIRSA:13020074
Condensed Matter
A classification of symmetry enriched topological phases with exactly solvable models

Ying Ran Boston College
February 01, 2013

PIRSA:13020122
Condensed Matter
Searching for topological phases in transition metal oxide heterostructures

Ying Ran Boston College
January 31, 2013

PIRSA:13010113
Condensed Matter
12/13 PSI - Condensed Matter Review Lecture 4

Alioscia Hamma University of Naples Federico II
January 31, 2013

PIRSA:13010100
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 Princeton University
February 12, 2013

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

Dmitry Abanin Princeton University
February 11, 2013

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

Dmitry Abanin Princeton University
February 11, 2013

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

Dmitry Abanin Princeton University
February 07, 2013

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

Dmitry Abanin Princeton University
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.
12/13 PSI - Condensed Matter Review Lecture 6

Dmitry Abanin Princeton University
February 04, 2013

PIRSA:13020077
Condensed Matter
12/13 PSI - Condensed Matter Review Lecture 5

Alioscia Hamma University of Naples Federico II
February 01, 2013

PIRSA:13020074
Condensed Matter
A classification of symmetry enriched topological phases with exactly solvable models

Ying Ran Boston College
February 01, 2013

PIRSA:13020122
Condensed Matter
Two types of topological phases have attracted a lot of attention in condensed matter physics: symmetry protected topological(SPT) phases and topologically ordered phases. On the one hand, SPT phases are protected by given global symmetries while there is no topological order in the bulk. On the other hand, topologically ordered phases do not require symmetry and feature topological ground state degeneracy. In this talk, I present a classification of phases with both topological orders and global symmetries, equipped with local bosonic exactly solvable models. This classification, in some sense, organizes previous pieces of understandings on SPT phases, topological orders, symmetry fractionalizations, into a single framework. Solution of the exactly solvable models and measurable consequences will be discussed.
Searching for topological phases in transition metal oxide heterostructures

Ying Ran Boston College
January 31, 2013

PIRSA:13010113
Condensed Matter
In this talk I will present our recent investigations on possible topological phases in (111) heterostructures of transition metal oxide. These (111) heterstructures are promising systems to realize many 2D topological phases at high temperatures, even with strong correlations, which is hard to be achieved in conventional materials. Several examples will be discussed, including high-temperature quantum spin hall effect in LaAlO3/LaAuO3/LaAlO3 bilayer, correlation induced topological phases in LaAlO3/LaNiO3/LaAlO3 multilayer, nearly flat topological band with C=2 (C: Chern number) in SrIrO3 trilayer, and abelian/nonabelian fractional quantum hall effects in the absence of Landau levels (fractional Chern insulators). If time is allowed, I will also briefly introduce our work on classifying wavefunctions of fractional Chern/topological insulators.
12/13 PSI - Condensed Matter Review Lecture 4

Alioscia Hamma University of Naples Federico II
January 31, 2013

PIRSA:13010100
Condensed Matter

Title	Speaker(s)	Date	Talk Type	Info link
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
12/13 PSI - Condensed Matter Review Lecture 6	Dmitry Abanin	2013-02-04	Course	View details
12/13 PSI - Condensed Matter Review Lecture 5	Alioscia Hamma	2013-02-01	Course	View details
A classification of symmetry enriched topological phases with exactly solvable models	Ying Ran	2013-02-01	Scientific Series	View details
Searching for topological phases in transition metal oxide heterostructures	Ying Ran	2013-01-31	Scientific Series	View details
12/13 PSI - Condensed Matter Review Lecture 4	Alioscia Hamma	2013-01-31	Course	View details

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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

12/13 PSI - Condensed Matter Review Lecture 6

12/13 PSI - Condensed Matter Review Lecture 5

A classification of symmetry enriched topological phases with exactly solvable models

Searching for topological phases in transition metal oxide heterostructures

12/13 PSI - Condensed Matter Review Lecture 4

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

12/13 PSI - Condensed Matter Review Lecture 6

12/13 PSI - Condensed Matter Review Lecture 5

A classification of symmetry enriched topological phases with exactly solvable models

Searching for topological phases in transition metal oxide heterostructures

12/13 PSI - Condensed Matter Review Lecture 4