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Title: Fractional charge and emergent mass hierarchy in diagonal two-leg t J 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:
 [1];  [2];  [3];  [4]
  1. Tsinghua Univ., Beijing (China). Inst. for Advanced Study; Stanford Univ., CA (United States). Dept. of Physics
  2. SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Institute for Materials and Energy Science (SIMES)
  3. Tsinghua Univ., Beijing (China). Inst. for Advanced Study; Collaborative Innovation Center of Quantum Matter, Beijing (China)
  4. Stanford Univ., CA (United States). Dept. of Physics
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); National Science Foundation (NSF); National Natural Science Foundation of China (NNSFC)
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. doi: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. doi: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 = {2017},
month = {6}
}

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