# Coupled spin- $\frac{1}{2}$ ladders as microscopic models for non-Abelian chiral spin liquids

## Abstract

Not provided.

- Authors:

- Publication Date:

- Research Org.:
- Boston Univ., MA (United States); Northeastern Univ., Boston, MA (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 1535890

- DOE Contract Number:
- FG02-06ER46316; SC0014407

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review B

- Additional Journal Information:
- Journal Volume: 95; Journal Issue: 14; Journal ID: ISSN 2469-9950

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- Materials Science; Physics

### Citation Formats

```
Huang, Po-Hao, Chen, Jyong-Hao, Feiguin, Adrian E., Chamon, Claudio, and Mudry, Christopher.
```*Coupled spin- 12 ladders as microscopic models for non-Abelian chiral spin liquids*. United States: N. p., 2017.
Web. doi:10.1103/physrevb.95.144413.

```
Huang, Po-Hao, Chen, Jyong-Hao, Feiguin, Adrian E., Chamon, Claudio, & Mudry, Christopher.
```*Coupled spin- 12 ladders as microscopic models for non-Abelian chiral spin liquids*. United States. doi:10.1103/physrevb.95.144413.

```
Huang, Po-Hao, Chen, Jyong-Hao, Feiguin, Adrian E., Chamon, Claudio, and Mudry, Christopher. Sat .
"Coupled spin- 12 ladders as microscopic models for non-Abelian chiral spin liquids". United States. doi:10.1103/physrevb.95.144413.
```

```
@article{osti_1535890,
```

title = {Coupled spin- 12 ladders as microscopic models for non-Abelian chiral spin liquids},

author = {Huang, Po-Hao and Chen, Jyong-Hao and Feiguin, Adrian E. and Chamon, Claudio and Mudry, Christopher},

abstractNote = {Not provided.},

doi = {10.1103/physrevb.95.144413},

journal = {Physical Review B},

issn = {2469-9950},

number = 14,

volume = 95,

place = {United States},

year = {2017},

month = {4}

}

Other availability

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.

Works referenced in this record:

##
Braid Statistics in Local Quantum Theory

journal, January 1990

- FrÖHlich, J.; Gabbiani, F.
- Reviews in Mathematical Physics, Vol. 02, Issue 03

##
Spin-statistics theorem and scattering in planar quantum field theories with braid statistics

journal, June 1991

- Fröhlich, J.; Marchetti, P. A.
- Nuclear Physics B, Vol. 356, Issue 3

##
Nonabelions in the fractional quantum hall effect

journal, August 1991

- Moore, Gregory; Read, Nicholas
- Nuclear Physics B, Vol. 360, Issue 2-3

##
Non-Abelian statistics in the fractional quantum Hall states

journal, February 1991

- Wen, X. G.
- Physical Review Letters, Vol. 66, Issue 6

##
Anyons in an exactly solved model and beyond

journal, January 2006

- Kitaev, Alexei
- Annals of Physics, Vol. 321, Issue 1

##
Non-Abelian anyons and topological quantum computation

journal, September 2008

- Nayak, Chetan; Simon, Steven H.; Stern, Ady
- Reviews of Modern Physics, Vol. 80, Issue 3

##
Equivalence of the resonating-valence-bond and fractional quantum Hall states

journal, November 1987

- Kalmeyer, V.; Laughlin, R. B.
- Physical Review Letters, Vol. 59, Issue 18

##
Chiral spin states and superconductivity

journal, June 1989

- Wen, X. G.; Wilczek, Frank; Zee, A.
- Physical Review B, Vol. 39, Issue 16

##
Chiral spin liquids in arrays of spin chains

journal, June 2015

- Gorohovsky, Gregory; Pereira, Rodrigo G.; Sela, Eran
- Physical Review B, Vol. 91, Issue 24

##
Coupled-wire construction of chiral spin liquids

journal, June 2015

- Meng, Tobias; Neupert, Titus; Greiter, Martin
- Physical Review B, Vol. 91, Issue 24

##
Non-Abelian topological spin liquids from arrays of quantum wires or spin chains

journal, May 2016

- Huang, Po-Hao; Chen, Jyong-Hao; Gomes, Pedro R. S.
- Physical Review B, Vol. 93, Issue 20

##
Topological Orders and Chern-Simons Theory in Strongly Correlated Quantum Liquid

journal, June 1991

- Wen, Xiao-Gang
- International Journal of Modern Physics B, Vol. 05, Issue 10

##
Fractionalization, Topological Order, and Quasiparticle Statistics

journal, February 2006

- Oshikawa, Masaki; Senthil, T.
- Physical Review Letters, Vol. 96, Issue 6

##
Spontaneous dimerization in the $S=\frac{1}{2}$ Heisenberg antiferromagnetic chain with competing interactions

journal, April 1982

- Haldane, F. D. M.
- Physical Review B, Vol. 25, Issue 7

##
Dimerization and incommensurate spiral spin correlations in the zigzag spin chain: Analogies to the Kondo lattice

journal, October 1996

- White, Steven R.; Affleck, Ian
- Physical Review B, Vol. 54, Issue 14

##
On Next‐Nearest‐Neighbor Interaction in Linear Chain. II

journal, August 1969

- Majumdar, Chanchal K.; Ghosh, Dipan K.
- Journal of Mathematical Physics, Vol. 10, Issue 8

##
Quantum dimer phases in a frustrated spin ladder: Effective field theory approach and exact diagonalization

journal, June 2006

- Vekua, Temo; Honecker, Andreas
- Physical Review B, Vol. 73, Issue 21

##
Melting of a frustration-induced dimer crystal and incommensurability in the ${J}_{1}$ - ${J}_{2}$ two-leg ladder

journal, October 2011

- Lavarélo, Arthur; Roux, Guillaume; Laflorencie, Nicolas
- Physical Review B, Vol. 84, Issue 14

##
Dimerization transitions in spin-1 chains

journal, June 2016

- Chepiga, Natalia; Affleck, Ian; Mila, Frédéric
- Physical Review B, Vol. 93, Issue 24

##
Density matrix formulation for quantum renormalization groups

journal, November 1992

- White, Steven R.
- Physical Review Letters, Vol. 69, Issue 19

##
Density-matrix algorithms for quantum renormalization groups

journal, October 1993

- White, Steven R.
- Physical Review B, Vol. 48, Issue 14

##
Effect of boundary conditions on the operator content of two-dimensional conformally invariant theories

journal, October 1986

- Cardy, John L.
- Nuclear Physics B, Vol. 275, Issue 2

##
Entanglement entropy and conformal field theory

journal, December 2009

- Calabrese, Pasquale; Cardy, John
- Journal of Physics A: Mathematical and Theoretical, Vol. 42, Issue 50

##
Boundary Effects in the Critical Scaling of Entanglement Entropy in 1D Systems

journal, March 2006

- Laflorencie, Nicolas; Sørensen, Erik S.; Chang, Ming-Shyang
- Physical Review Letters, Vol. 96, Issue 10

##
Entanglement entropy in quantum impurity systems and systems with boundaries

journal, December 2009

- Affleck, Ian; Laflorencie, Nicolas; Sørensen, Erik S.
- Journal of Physics A: Mathematical and Theoretical, Vol. 42, Issue 50

##
Unusual corrections to scaling in entanglement entropy

journal, April 2010

- Cardy, John; Calabrese, Pasquale
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2010, Issue 04

##
Critical theory of quantum spin chains

journal, October 1987

- Affleck, Ian; Haldane, F. D. M.
- Physical Review B, Vol. 36, Issue 10

##
Incommensurate Spin Correlations in Spin- $1/2$ Frustrated Two-Leg Heisenberg Ladders

journal, July 1998

- Nersesyan, Alexander A.; Gogolin, Alexander O.; Eßler, Fabian H. L.
- Physical Review Letters, Vol. 81, Issue 4

##
Dimerized Phase and Transitions in a Spatially Anisotropic Square Lattice Antiferromagnet

journal, September 2004

- Starykh, Oleg A.; Balents, Leon
- Physical Review Letters, Vol. 93, Issue 12

##
Ordering in Spatially Anisotropic Triangular Antiferromagnets

journal, February 2007

- Starykh, Oleg A.; Balents, Leon
- Physical Review Letters, Vol. 98, Issue 7

##
Mechanism of spin and charge separation in one-dimensional quantum antiferromagnets

journal, October 1994

- Mudry, Christopher; Fradkin, Eduardo
- Physical Review B, Vol. 50, Issue 16

##
Anisotropic pyrochlores and the global phase diagram of the checkerboard antiferromagnet

journal, September 2005

- Starykh, Oleg A.; Furusaki, Akira; Balents, Leon
- Physical Review B, Vol. 72, Issue 9

##
Ground-state phase diagram of a spin- $\frac{1}{2}$ frustrated ferromagnetic XXZ chain: Haldane dimer phase and gapped/gapless chiral phases

journal, September 2012

- Furukawa, Shunsuke; Sato, Masahiro; Onoda, Shigeki
- Physical Review B, Vol. 86, Issue 9

##
Spin-liquid versus dimer phases in an anisotropic ${J}_{1}$ - ${J}_{2}$ frustrated square antiferromagnet

journal, June 2014

- Metavitsiadis, Alexandros; Sellmann, Daniel; Eggert, Sebastian
- Physical Review B, Vol. 89, Issue 24

##
Fate of spinons in spontaneously dimerized spin- $\frac{1}{2}$ ladders

journal, April 2000

- Allen, Dave; Essler, Fabian H. L.; Nersesyan, Alexander A.
- Physical Review B, Vol. 61, Issue 13