نتایج جستجو برای: topological molecular lattice

تعداد نتایج: 787787  

2008
Ting-Wai Chiu

We show that even if a lattice Dirac operator satisfies the conditions consisting of locality, free of species doublings, correct continuum behavior, γ5-hermiticity and the Ginsparg-Wilson relation, it does not necessarily have exact zero modes in nontrivial gauge backgrounds. This implies that each lattice Dirac operator has its own topological characteristics which cannot be fixed by these co...

1997
M. Feurstein

We compute instanton sizes and study correlation functions between instantons and monopoles in maximum abelian projection within SU(2) lattice QCD at finite temperature. We compare several definitions of the topological charge, different lattice actions and methods of reducing quantum fluctuations. The average instanton size turns out to be σ ≈ 0.2 fm. The correlation length between monopoles a...

2008
George T. Fleming John B. Kogut Pavlos M. Vranas

The dynamical N = 1, SU(2) Super Yang-Mills theory is studied on the lattice using a new lattice fermion regulator, domain wall fermions. This formulation even at non-zero lattice spacing does not require fine-tuning, has improved chiral properties and can produce topological zero-mode phenomena. Numerical simulations of the full theory on lattices with the topology of a torus indicate the form...

1999
Takanori Fujiwara Hiroshi Suzuki

The chiral anomaly in lattice abelian gauge theory is investigated by applying the geometric and topological method in noncommutative differential geometry(NCDG). A new kind of double complex and descent equation are proposed on infinite hypercubic lattice in arbitrary even dimensional Euclidean space, in the framework of NCDG. Using the general solutions to proposed descent equation, we derive...

Journal: :Physical Review A 2021

Attractive interaction between spinless fermions in a two-dimensional lattice drives the formation of topological superfluid. But phase is dynamically unstable towards separation when system has high density states and large strength. This limits critical temperature to an experimentally challenging regime where, for example, even ultracold atoms molecules optical lattices would struggle realiz...

2003
Simon Catterall

We discuss the connection between supersymmetric field theories and topological field theories and show how this connection may be used to construct local lattice field theories which maintain an exact supersymmetry. It is shown how metric independence of the continuum topological field theory allows us to derive the lattice theory by blocking out of the continuum in a deformed geometry. This, ...

Journal: :Physical review letters 2011
Xiao-Liang Qi

We propose a systematical approach to construct generic fractional quantum anomalous Hall states, which are generalizations of the fractional quantum Hall states to lattice models with zero net magnetic field and full lattice translation symmetry. Local and translationally invariant Hamiltonians can also be constructed, for which the proposed states are unique ground states. Our result demonstr...

2008
R S Ward

Hopf solitons in the Skyrme-Faddeev model — S 2-valued fields on R 3 with Skyrme dynamics — are string-like topological solitons. In this Letter, we investigate the analogous lattice objects, for S 2-valued fields on the cubic lattice Z 3 with a nearest-neighbour interaction. For suitable choices of the interaction, topological solitons exist on the lattice. Their appearance is remarkably simil...

1998
F. L. Teixeira W. C. Chew

The language of differential forms and topological concepts are applied to study classical electromagnetic theory on a lattice. It is shown that differential forms and their discrete counterparts ~cochains! provide a natural bridge between the continuum and the lattice versions of the theory, allowing for a natural factorization of the field equations into topological field equations ~i.e., inv...

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