Fractional charge and emergent mass hierarchy in diagonal two-leg cylinders
Abstract
Here, we define a class of “diagonal” t $$-$$ J ladders rotated by π / 4 relative to the canonical lattice directions of the square lattice, and study it using density matrix renormalization group. Here, we focus on the two-leg cylinder with a doped hole concentration near x = $$\frac{1}{4}$$ . At exactly x = $$\frac{1}{4}$$, the system forms a period 4 charge density wave and exhibits spin-charge separation. Slightly away from $$\frac{1}{4}$$ doping, we observe several topologically distinct types of solitons with well-defined fractionalized quantum numbers. Remarkably, given the absence of any obvious small parameter, the effective masses of the emergent solitons differ by several orders of magnitude.
- Authors:
-
- Tsinghua Univ., Beijing (China). Inst. for Advanced Study; Stanford Univ., CA (United States). Dept. of Physics
- SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Institute for Materials and Energy Science (SIMES)
- Tsinghua Univ., Beijing (China). Inst. for Advanced Study; Collaborative Innovation Center of Quantum Matter, Beijing (China)
- Stanford Univ., CA (United States). Dept. of Physics
- Publication Date:
- Research Org.:
- SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF); National Natural Science Foundation of China (NSFC)
- OSTI Identifier:
- 1369403
- Alternate Identifier(s):
- OSTI ID: 1361571
- Grant/Contract Number:
- 11474175; AC02-76SF00515; DMR 1265593
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 95; Journal Issue: 24; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; density waves; spin chains
Citation Formats
Jiang, Yi-Fan, Jiang, Hong-Chen, Yao, Hong, and Kivelson, Steven A. Fractional charge and emergent mass hierarchy in diagonal two-leg t–J cylinders. United States: N. p., 2017.
Web. doi:10.1103/PhysRevB.95.245105.
Jiang, Yi-Fan, Jiang, Hong-Chen, Yao, Hong, & Kivelson, Steven A. Fractional charge and emergent mass hierarchy in diagonal two-leg t–J cylinders. United States. https://doi.org/10.1103/PhysRevB.95.245105
Jiang, Yi-Fan, Jiang, Hong-Chen, Yao, Hong, and Kivelson, Steven A. Tue .
"Fractional charge and emergent mass hierarchy in diagonal two-leg t–J cylinders". United States. https://doi.org/10.1103/PhysRevB.95.245105. https://www.osti.gov/servlets/purl/1369403.
@article{osti_1369403,
title = {Fractional charge and emergent mass hierarchy in diagonal two-leg t–J cylinders},
author = {Jiang, Yi-Fan and Jiang, Hong-Chen and Yao, Hong and Kivelson, Steven A.},
abstractNote = {Here, we define a class of “diagonal” t $-$ J ladders rotated by π / 4 relative to the canonical lattice directions of the square lattice, and study it using density matrix renormalization group. Here, we focus on the two-leg cylinder with a doped hole concentration near x = $\frac{1}{4}$ . At exactly x = $\frac{1}{4}$, the system forms a period 4 charge density wave and exhibits spin-charge separation. Slightly away from $\frac{1}{4}$ doping, we observe several topologically distinct types of solitons with well-defined fractionalized quantum numbers. Remarkably, given the absence of any obvious small parameter, the effective masses of the emergent solitons differ by several orders of magnitude.},
doi = {10.1103/PhysRevB.95.245105},
journal = {Physical Review B},
number = 24,
volume = 95,
place = {United States},
year = {Tue Jun 06 00:00:00 EDT 2017},
month = {Tue Jun 06 00:00:00 EDT 2017}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 7 works
Citation information provided by
Web of Science
Web of Science
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:
Lattice anisotropy as the microscopic origin of static stripes in cuprates
journal, June 2001
- Normand, B.; Kampf, A. P.
- Physical Review B, Vol. 64, Issue 2
Charged magnetic domain lines and the magnetism of high- oxides
journal, October 1989
- Zaanen, Jan; Gunnarsson, Olle
- Physical Review B, Vol. 40, Issue 10
Charged solitons in the Hartree-Fock approximation to the large- U Hubbard model
journal, May 1989
- Poilblanc, D.; Rice, T. M.
- Physical Review B, Vol. 39, Issue 13
Luttinger liquid instability of the 2D t - J model: A variational study
journal, April 1992
- Valentí, Roser; Gros, Claudius
- Physical Review Letters, Vol. 68, Issue 15
Time-reversal symmetry breaking superconducting ground state in the doped Mott insulator on the honeycomb lattice
journal, October 2013
- Gu, Zheng-Cheng; Jiang, Hong-Chen; Sheng, D. N.
- Physical Review B, Vol. 88, Issue 15
Charge modulation as fingerprints of phase-string triggered interference
journal, July 2015
- Zhu, Zheng; Tian, Chushun; Jiang, Hong-Chen
- Physical Review B, Vol. 92, Issue 3
Density-matrix algorithms for quantum renormalization groups
journal, October 1993
- White, Steven R.
- Physical Review B, Vol. 48, Issue 14
One Hole in the Two-Leg Ladder and Adiabatic Continuity to the Noninteracting Limit
journal, July 2015
- White, S. R.; Scalapino, D. J.; Kivelson, S. A.
- Physical Review Letters, Vol. 115, Issue 5
Stripes in the two-dimensional - model with infinite projected entangled-pair states
journal, July 2011
- Corboz, Philippe; White, Steven R.; Vidal, Guifré
- Physical Review B, Vol. 84, Issue 4
Dynamical Layer Decoupling in a Stripe-Ordered High- Superconductor
journal, September 2007
- Berg, E.; Fradkin, E.; Kim, E. -A.
- Physical Review Letters, Vol. 99, Issue 12
A twisted ladder: relating the Fe superconductors to the high- T c cuprates
journal, August 2009
- Berg, E.; Kivelson, S. A.; Scalapino, D. J.
- New Journal of Physics, Vol. 11, Issue 8
Indications of - superconductivity in the two dimensional t - J model
journal, February 1993
- Dagotto, E.; Riera, J.
- Physical Review Letters, Vol. 70, Issue 5
Competing States in the - Model: Uniform -Wave State versus Stripe State
journal, July 2014
- Corboz, Philippe; Rice, T. M.; Troyer, Matthias
- Physical Review Letters, Vol. 113, Issue 4
Density matrix formulation for quantum renormalization groups
journal, November 1992
- White, Steven R.
- Physical Review Letters, Vol. 69, Issue 19
Phase diagram of the one-dimensional t - J model
journal, May 1991
- Ogata, Masao; Luchini, M. U.; Sorella, S.
- Physical Review Letters, Vol. 66, Issue 18
Effective Hamiltonian for the superconducting Cu oxides
journal, March 1988
- Zhang, F. C.; Rice, T. M.
- Physical Review B, Vol. 37, Issue 7
Condensation of magnons and spinons in a frustrated ladder
journal, June 2006
- Fouet, J. -B.; Mila, F.; Clarke, D.
- Physical Review B, Vol. 73, Issue 21
Enhancement of Pairing Correlation by in the Two-Dimensional Extended Model
journal, June 2004
- Shih, C. T.; Lee, T. K.; Eder, R.
- Physical Review Letters, Vol. 92, Issue 22
Two soluble models of an antiferromagnetic chain
journal, December 1961
- Lieb, Elliott; Schultz, Theodore; Mattis, Daniel
- Annals of Physics, Vol. 16, Issue 3
Antiferromagnetism and phase separation in the model at low doping: A variational study
journal, September 2004
- Ivanov, D. A.
- Physical Review B, Vol. 70, Issue 10
The Resonating Valence Bond State in La2CuO4 and Superconductivity
journal, March 1987
- Anderson, P. W.
- Science, Vol. 235, Issue 4793
Domain walls in a doped antiferromagnet
journal, January 1989
- Schulz, H. J.
- Journal de Physique, Vol. 50, Issue 18
Solutions of the Two-Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms
journal, December 2015
- LeBlanc, J. P. F.; Antipov, Andrey E.; Becca, Federico
- Physical Review X, Vol. 5, Issue 4
Stripe orientation in an anisotropic model
journal, July 2001
- Kampf, Arno P.; Scalapino, Douglas J.; White, Steven R.
- Physical Review B, Vol. 64, Issue 5
Density Matrix Renormalization Group Study of the Striped Phase in the 2D Model
journal, February 1998
- White, Steven R.; Scalapino, D. J.
- Physical Review Letters, Vol. 80, Issue 6
Finite compressibility in the low-doping region of the two-dimensional model
journal, October 2006
- Lugas, Massimo; Spanu, Leonardo; Becca, Federico
- Physical Review B, Vol. 74, Issue 16
Superconducting -wave stripes in cuprates: Valence bond order coexisting with nodal quasiparticles
journal, March 2008
- Vojta, Matthias; Rösch, Oliver
- Physical Review B, Vol. 77, Issue 9
Superconductivity in ladders and coupled planes
journal, March 1992
- Dagotto, E.; Riera, J.; Scalapino, D.
- Physical Review B, Vol. 45, Issue 10
Aspects of the phase diagram of the two-dimensional t - J model
journal, January 1992
- Putikka, W. O.; Luchini, M. U.; Rice, T. M.
- Physical Review Letters, Vol. 68, Issue 4
Ground-state properties of the two-dimensional t-J model
journal, January 1997
- Kohno, Masanori
- Physical Review B, Vol. 55, Issue 3
Stripes and Spin Incommensurabilities Are Favored by Lattice Anisotropies
journal, September 2001
- Becca, Federico; Capriotti, Luca; Sorella, Sandro
- Physical Review Letters, Vol. 87, Issue 16
Correlated electrons in high-temperature superconductors
journal, July 1994
- Dagotto, Elbio
- Reviews of Modern Physics, Vol. 66, Issue 3
Stripes and the t-J Model
journal, July 1999
- Hellberg, C. Stephen; Manousakis, E.
- Physical Review Letters, Vol. 83, Issue 1
Intertwined order in a frustrated four-leg cylinder
journal, April 2017
- Dodaro, John F.; Jiang, Hong-Chen; Kivelson, Steven A.
- Physical Review B, Vol. 95, Issue 15
Phase separation and stripe formation in the two-dimensional model: A comparison of numerical results
journal, March 2000
- White, Steven R.; Scalapino, D. J.
- Physical Review B, Vol. 61, Issue 9
Magnetism in La2CuO4 based compounds
journal, April 1989
- Machida, Kazushige
- Physica C: Superconductivity, Vol. 158, Issue 1-2
Phase separation of the two-dimensional model
journal, January 1998
- Shih, C. T.; Chen, Y. C.; Lee, T. K.
- Physical Review B, Vol. 57, Issue 1
Nature of stripes in the generalized t – J model applied to the cuprate superconductors
journal, May 2009
- Yang, Kai-Yu; Chen, Wei Qiang; Rice, T. M.
- New Journal of Physics, Vol. 11, Issue 5
Phase separation in the t - J model
journal, January 1990
- Emery, V. J.; Kivelson, S. A.; Lin, H. Q.
- Physical Review Letters, Vol. 64, Issue 4
Nature of strong hole pairing in doped Mott antiferromagnets
journal, June 2014
- Zhu, Zheng; Jiang, Hong-Chen; Sheng, D. N.
- Scientific Reports, Vol. 4, Issue 1
Phase diagram and pair Tomonaga-Luttinger liquid in a Bose-Hubbard model with flat bands
journal, December 2013
- Takayoshi, Shintaro; Katsura, Hosho; Watanabe, Noriaki
- Physical Review A, Vol. 88, Issue 6
Magnetism and superconductivity in the model
journal, January 2008
- Spanu, Leonardo; Lugas, Massimo; Becca, Federico
- Physical Review B, Vol. 77, Issue 2
Superconductivity and Antiferromagnetism in an Extended Gutzwiller Approximation for t – J Model: Effect of Double-Occupancy Exclusion
journal, February 2003
- Ogata, Masao; Himeda, Akihiro
- Journal of the Physical Society of Japan, Vol. 72, Issue 2
Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
journal, August 1965
- Zabusky, N. J.; Kruskal, M. D.
- Physical Review Letters, Vol. 15, Issue 6
Electron correlations in narrow energy bands
journal, November 1963
- Hubbard, J.
- Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 276, Issue 1365, p. 238-257
Pairing on striped lattices
journal, June 2009
- White, Steven R.; Scalapino, D. J.
- Physical Review B, Vol. 79, Issue 22
Charge versus Fermion Fractionalization in the Quarter-Filled Hubbard-Peierls Model
journal, May 1987
- Zhang, S. C.; Kivelson, S.; Goldhaber, Alfred S.
- Physical Review Letters, Vol. 58, Issue 20
Doping a Mott insulator: Physics of high-temperature superconductivity
journal, January 2006
- Lee, Patrick A.; Nagaosa, Naoto; Wen, Xiao-Gang
- Reviews of Modern Physics, Vol. 78, Issue 1
Stripe structures in the t–t′-J model
journal, November 2012
- Scalapino, D. J.; White, S. R.
- Physica C: Superconductivity, Vol. 481
Properties of a diagonal two-orbital ladder model of the iron pnictide superconductors
journal, May 2010
- Berg, E.; Kivelson, S. A.; Scalapino, D. J.
- Physical Review B, Vol. 81, Issue 17
Unidirectional -wave superconducting domains in the two-dimensional model
journal, October 2007
- Raczkowski, Marcin; Capello, Manuela; Poilblanc, Didier
- Physical Review B, Vol. 76, Issue 14
Impossibility of spontaneously breaking local symmetries
journal, December 1975
- Elitzur, S.
- Physical Review D, Vol. 12, Issue 12
Stripe States with Spatially Oscillating -Wave Superconductivity in the Two-Dimensional Model
journal, February 2002
- Himeda, A.; Kato, T.; Ogata, M.
- Physical Review Letters, Vol. 88, Issue 11
Magnetic excitations in the site-centered stripe phase: Spin-wave theory of coupled three-leg ladders
journal, April 2011
- Greiter, Martin; Schmidt, Holger
- Physical Review B, Vol. 83, Issue 14
Nature of a single doped hole in two-leg Hubbard and ladders
journal, October 2016
- Liu, Shenxiu; Jiang, Hong-Chen; Devereaux, Thomas P.
- Physical Review B, Vol. 94, Issue 15
Stability of RVB hole stripes in high-temperature superconductors
journal, June 2008
- Capello, Manuela; Raczkowski, Marcin; Poilblanc, Didier
- Physical Review B, Vol. 77, Issue 22
Solitons in conducting polymers
journal, July 1988
- Heeger, A. J.; Kivelson, S.; Schrieffer, J. R.
- Reviews of Modern Physics, Vol. 60, Issue 3
Phases of the Infinite Hubbard Model on Square Lattices
journal, March 2012
- Liu, Li; Yao, Hong; Berg, Erez
- Physical Review Letters, Vol. 108, Issue 12