Exotic Gapless Mott Insulators of Bosons on Multileg Ladders

被引:29
作者
Block, Matthew S. [1 ]
Mishmash, Ryan V. [1 ]
Kaul, Ribhu K. [2 ]
Sheng, D. N. [3 ]
Motrunich, Olexei I. [4 ]
Fisher, Matthew P. A. [1 ,4 ]
机构
[1] Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA
[2] Univ Kentucky, Dept Phys & Astron, Lexington, KY 40506 USA
[3] Calif State Univ Northridge, Dept Phys & Astron, Northridge, CA 91330 USA
[4] CALTECH, Dept Phys, Pasadena, CA 91125 USA
基金
美国国家科学基金会;
关键词
VALENCE-BOND; LATTICE; STATES;
D O I
10.1103/PhysRevLett.106.046402
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present evidence for an exotic gapless insulating phase of hard-core bosons on multileg ladders with a density commensurate with the number of legs. In particular, we study in detail a model of bosons moving with direct hopping and frustrating ring exchange on a 3-leg ladder at nu = 1/3 filling. For sufficiently large ring exchange, the system is insulating along the ladder but has two gapless modes and power law transverse density correlations at incommensurate wave vectors. We propose a determinantal wave function for this phase and find excellent comparison between variational Monte Carlo and density matrix renormalization group calculations on the model Hamiltonian, thus providing strong evidence for the existence of this exotic phase. Finally, we discuss extensions of our results to other N-leg systems and to N-layer two-dimensional structures.
引用
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页数:4
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