Supersymmetric theories and graphene
- URL: http://arxiv.org/abs/2104.07420v1
- Date: Thu, 15 Apr 2021 12:36:58 GMT
- Title: Supersymmetric theories and graphene
- Authors: Antonio Gallerati
- Abstract summary: We discuss a 1+2 dimensional model with unconventional supersymmetry at the boundary of an AdS$_4$,,$mathcalN$-extended supergravity.
The resulting features of the supersymmetric boundary open the possibility of describing the electronic properties of graphene-like 2D materials at the Dirac points textbfK and textbfK'.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We discuss a 1+2 dimensional model with unconventional supersymmetry at the
boundary of an AdS${}_4$, \,$\mathcal{N}$-extended supergravity. The resulting
features of the supersymmetric boundary open the possibility of describing the
electronic properties of graphene-like 2D materials at the Dirac points
\textbf{K} and \textbf{K'}, exploiting a top-down approach. The Semenoff and
Haldane-type masses entering the corresponding Dirac equations can be then
extrapolated from the geometric parameters of the model describing the
substrate.
Related papers
- Gaussian Entanglement Measure: Applications to Multipartite Entanglement
of Graph States and Bosonic Field Theory [50.24983453990065]
An entanglement measure based on the Fubini-Study metric has been recently introduced by Cocchiarella and co-workers.
We present the Gaussian Entanglement Measure (GEM), a generalization of geometric entanglement measure for multimode Gaussian states.
By providing a computable multipartite entanglement measure for systems with a large number of degrees of freedom, we show that our definition can be used to obtain insights into a free bosonic field theory.
arXiv Detail & Related papers (2024-01-31T15:50:50Z) - Modeling of electronic dynamics in twisted bilayer graphene [44.99833362998488]
We consider the problem of numerically computing the quantum dynamics of an electron in twisted bilayer graphene.
We first prove that the dynamics of the tight-binding model of incommensurate twisted bilayer graphene can be approximated by computations on finite domains.
We then provide extensive numerical computations which clarify the range of validity of the Bistritzer-MacDonald model.
arXiv Detail & Related papers (2023-08-21T02:50:13Z) - A Group Symmetric Stochastic Differential Equation Model for Molecule
Multi-modal Pretraining [36.48602272037559]
molecule pretraining has quickly become the go-to schema to boost the performance of AI-based drug discovery.
Here, we propose MoleculeSDE to generate the 3D reflection from 2D topologies, and vice versa, directly in the input space.
By comparing with 17 pretraining baselines, we empirically verify that MoleculeSDE can learn an expressive representation with state-of-the-art performance on 26 out of 32 downstream tasks.
arXiv Detail & Related papers (2023-05-28T15:56:02Z) - Quantum Current and Holographic Categorical Symmetry [62.07387569558919]
A quantum current is defined as symmetric operators that can transport symmetry charges over an arbitrary long distance.
The condition for quantum currents to be superconducting is also specified, which corresponds to condensation of anyons in one higher dimension.
arXiv Detail & Related papers (2023-05-22T11:00:25Z) - Effects of detuning on $\mathcal{PT}$-symmetric, tridiagonal,
tight-binding models [0.0]
Non-Hermitian, tight-binding $mathcalPT$-symmetric models are extensively studied in the literature.
Here, we investigate two forms of non-Hermitian Hamiltonians to study the $mathcalPT$-symmetry breaking thresholds and features of corresponding surfaces of exceptional points (EPs)
Taken together, our results provide a detailed understanding of detuned tight-binding models with a pair of gain-loss potentials.
arXiv Detail & Related papers (2023-02-26T01:36:59Z) - Building 1D lattice models with $G$-graded fusion category [0.0]
Family of 1D quantum lattice models based on $G$-graded fusion category $mathcalC_G$.
The models display a set of unconventional global symmetries characterized by the input category $mathcalC_G$.
arXiv Detail & Related papers (2023-01-16T13:16:50Z) - Electric-magnetic duality and $\mathbb{Z}_2$ symmetry enriched Abelian lattice gauge theory [2.206623168926072]
Kitaev's quantum double model is a lattice gauge theoretic realization of Dijkgraaf-Witten topological quantum field theory (TQFT)
Topologically protected ground state space has broad applications for topological quantum computation and topological quantum memory.
arXiv Detail & Related papers (2022-01-28T14:13:38Z) - Boundary theories of critical matchgate tensor networks [59.433172590351234]
Key aspects of the AdS/CFT correspondence can be captured in terms of tensor network models on hyperbolic lattices.
For tensors fulfilling the matchgate constraint, these have previously been shown to produce disordered boundary states.
We show that these Hamiltonians exhibit multi-scale quasiperiodic symmetries captured by an analytical toy model.
arXiv Detail & Related papers (2021-10-06T18:00:03Z) - Dirac Hamiltonian in a supersymmetric framework [0.4061135251278187]
We construct a quasi-Hamiltonian $mathcalK$, defined as the square of $H_D$, to explore the consequences.
We show that the diagonal elements of $mathcalK$ under a suitable approximation reflects the presence of a superpotential.
For illustrative purpose we apply our scheme to the transformed one-dimensional version of the planar electron Hamiltonian under the influence of a magnetic field.
arXiv Detail & Related papers (2021-01-11T14:40:15Z) - Topological Quantum Gravity of the Ricci Flow [62.997667081978825]
We present a family of topological quantum gravity theories associated with the geometric theory of the Ricci flow.
First, we use BRST quantization to construct a "primitive" topological Lifshitz-type theory for only the spatial metric.
We extend the primitive theory by gauging foliation-preserving spacetime symmetries.
arXiv Detail & Related papers (2020-10-29T06:15:30Z) - Differential geometric aspects of parametric estimation theory for
states on finite-dimensional C*-algebras [0.0]
A geometrical formulation of estimation theory for finite-dimensional $Cstar$-algebras is presented.
The derivation of the Cramer-Rao and Helstrom bounds for parametric statistical models with discrete and finite outcome spaces is presented.
arXiv Detail & Related papers (2020-10-27T15:57:22Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.