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We study a model for itinerant, strongly interacting fermions where a judicious tuning of the interactions leads to a supersymmetric Hamiltonian.
Differential Forms in Algebraic Topology
R. Bott and L.W. Tu · 1982
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Constraints on supersymmetry breaking
E. Witten · 1982
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Concise Encyclopedia of SUPERSYMMETRY and noncommutative structures in mathematics and physics
J. Bagger, S. Duplij, and W. Siegel, editors · 2003
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Lattice fermion models with supersymmetry
P. Fendley, B. Nienhuis, and K. Schoutens · 2003
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Lattice models with 𝒩 = 2 \mathcal{N}=2 supersymmetry
P. Fendley, K. Schoutens, and J. de Boer · 2003
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Exact ground state and finite size scaling in a supersymmetric lattice model
M. Beccaria and G. F. De Angelis · 2005
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Exact results for strongly-correlated fermions in 2+1 dimensions
P. Fendley and K. Schoutens · 2005
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Hard squares at negative activity
P. Fendley, K. Schoutens, and H. van Eerten · 2005
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A rank-revealing method with updating, downdating, and applications
T. Y. Li and Z. Zeng · 2005
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Extensive ground state entropy in supersymmetric lattice models
H. van Eerten · 2005
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Hard squares on grids with diagonal boundary conditions
J. Jonsson · 2006
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Hard squares with negative activity and rhombus tilings of the plane
J. Jonsson · 2006
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On the independence complex of square grids
M. Bousquet-Melou, S. Linusson, and E. Nevo · 2008
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Charge frustration and quantum criticality for strongly correlated fermions
L. Huijse, J. Halverson, P. Fendley, and K. Schoutens · 2008
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Superfrustration of charge degrees of freedom
L. Huijse and K. Schoutens · 2008
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Subdivision yields Alexander duality on independence complexes
P. Csorba · 2009
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Upper bounds on the Witten index for supersymmetric lattice models by discrete Morse theory
A. Engström · 2009
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Quantum phases of supersymmetric lattice models
L. Huijse and K. Schoutens · 2010
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Supersymmetry, lattice fermions, independence complexes and cohomology theory
L. Huijse and K. Schoutens · 2010
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Certain homology cycles of the independence complex of grids
J. Jonsson · 2010
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Maximal betti number of a flag simplicial complex
M. Adamaszek · 2011
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Hard squares for z = − 1 z=-1
R.J. Baxter · 2011
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Ground-state properties of a supersymmetric fermion chain
P. Fendley and C. Hagendorf · 2011
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Hard squares with negative activity on cylinders with odd circumference
J. Jonsson · 2009
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A rank-revealing method with updating, downdating, and applications. part ii
T. Y. Lee, T. Y. Li, and Z. Zeng · 2009
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Exact and simple results for the XYZ and strongly interacting fermion chains
P. Fendley and C. Hagendorf · 2010
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A supersymmetric model for lattice fermions
L. Huijse · 2010
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http://www.grycap.upv.es/slepc/documentation/manual.htm
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Private communication
P. Fendley
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C. Hagendorf and P. Fendley · 2011
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Detailed analysis of the continuum limit of a supersymmetric lattice model in 1D
L. Huijse · 2011
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Exact ground states of a staggered supersymmetric model for lattice fermions
L. Huijse, N. Moran, J. Vala, and K. Schoutens · 2011
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Diagonalisation of quantum observables on regular lattices and general graphs
N. Moran, G. Kells, and J. Vala · 2011
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