Fractional charge and emergent mass hierarchy in diagonal two-leg $t–J$ cylinders

Journal Article · Tue Jun 06 04:00:00 UTC 2017 · Physical Review B

DOI: https://doi.org/10.1103/PhysRevB.95.245105 · OSTI ID:1369403

Jiang, Yi-Fan ^[1]; Jiang, Hong-Chen ^[2]; Yao, Hong ^[3]; Kivelson, Steven A. ^[4]

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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

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.

• Research Organization: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); National Science Foundation (NSF); National Natural Science Foundation of China (NNSFC)
• Grant/Contract Number: AC02-76SF00515
• OSTI ID: 1369403
• Journal Information: Physical Review B, Journal Name: Physical Review B Journal Issue: 24 Vol. 95; ISSN 2469-9950; ISSN PRBMDO
• Publisher: American Physical Society (APS)Copyright Statement
• Country of Publication: United States
• Language: English