Charge degrees in the quarter-filled checkerboard lattice

F. Pollmann; J. J. Betouras; E. Runge; P. Fulde

doi:10.1016/j.jmmm.2006.10.348

Charge degrees in the quarter-filled checkerboard lattice

F. Pollmann
, J. J. Betouras
, E. Runge
, P. Fulde

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

For a systematic study of charge degrees of freedom in lattices with geometric frustration, we consider spinless fermions on the checkerboard lattice with nearest-neighbor hopping t and nearest-neighbor repulsion V at quarter-filling. An effective Hamiltonian in the limit | t | ≪ V is given to lowest non-vanishing order by the ring exchange (∼ t³ / V²). We show that the system can equivalently be described by hard-core bosons and map the model to a confining U (1) lattice gauge theory.

Original language	English
Pages (from-to)	966-968
Number of pages	3
Journal	Journal of Magnetism and Magnetic Materials
Volume	310
Issue number	2 SUPPL. PART 2
DOIs	https://doi.org/10.1016/j.jmmm.2006.10.348
State	Published - Mar 2007
Externally published	Yes

Keywords

Fractional charges
Frustration
Strong correlations

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10.1016/j.jmmm.2006.10.348

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abstract = "For a systematic study of charge degrees of freedom in lattices with geometric frustration, we consider spinless fermions on the checkerboard lattice with nearest-neighbor hopping t and nearest-neighbor repulsion V at quarter-filling. An effective Hamiltonian in the limit | t | ≪ V is given to lowest non-vanishing order by the ring exchange (∼ t3 / V2). We show that the system can equivalently be described by hard-core bosons and map the model to a confining U (1) lattice gauge theory.",

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author = "F. Pollmann and Betouras, \{J. J.\} and E. Runge and P. Fulde",

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T1 - Charge degrees in the quarter-filled checkerboard lattice

AU - Pollmann, F.

AU - Betouras, J. J.

AU - Runge, E.

AU - Fulde, P.

PY - 2007/3

Y1 - 2007/3

N2 - For a systematic study of charge degrees of freedom in lattices with geometric frustration, we consider spinless fermions on the checkerboard lattice with nearest-neighbor hopping t and nearest-neighbor repulsion V at quarter-filling. An effective Hamiltonian in the limit | t | ≪ V is given to lowest non-vanishing order by the ring exchange (∼ t3 / V2). We show that the system can equivalently be described by hard-core bosons and map the model to a confining U (1) lattice gauge theory.

AB - For a systematic study of charge degrees of freedom in lattices with geometric frustration, we consider spinless fermions on the checkerboard lattice with nearest-neighbor hopping t and nearest-neighbor repulsion V at quarter-filling. An effective Hamiltonian in the limit | t | ≪ V is given to lowest non-vanishing order by the ring exchange (∼ t3 / V2). We show that the system can equivalently be described by hard-core bosons and map the model to a confining U (1) lattice gauge theory.

KW - Fractional charges

KW - Frustration

KW - Strong correlations

UR - https://www.scopus.com/pages/publications/33847274804

U2 - 10.1016/j.jmmm.2006.10.348

DO - 10.1016/j.jmmm.2006.10.348

M3 - Article

AN - SCOPUS:33847274804

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SP - 966

EP - 968

JO - Journal of Magnetism and Magnetic Materials

JF - Journal of Magnetism and Magnetic Materials

IS - 2 SUPPL. PART 2

ER -

Charge degrees in the quarter-filled checkerboard lattice

Abstract

Keywords

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