Pasquale Marra
@pmarraphysics.bsky.social
Exploring symmetries, complex patterns, and nontrivial topology in condensed matter
Sophia University, Faculty of Science and Technology, Physics Division
https://pweb.cc.sophia.ac.jp/pmarra/
Sophia University, Faculty of Science and Technology, Physics Division
https://pweb.cc.sophia.ac.jp/pmarra/
Pinned
Pasquale Marra
@pmarraphysics.bsky.social
· Oct 17
Gauge Fields Induced by Curved Spacetime
Abstract. I found an extended duality (triality) between Dirac fermions in periodic spacetime metrics, nonrelativistic fermions in gauge fields (e.g. Harpe
doi.org
In this recently published paper on PTEP, I show the equivalence of spacetime curvature and magnetic (gauge) fields under unitary transformations on a lattice. #physics #ptep
doi.org/10.1093/ptep...
doi.org/10.1093/ptep...
In this recently published paper on PTEP, I show the equivalence of spacetime curvature and magnetic (gauge) fields under unitary transformations on a lattice. #physics #ptep
doi.org/10.1093/ptep...
doi.org/10.1093/ptep...
Gauge Fields Induced by Curved Spacetime
Abstract. I found an extended duality (triality) between Dirac fermions in periodic spacetime metrics, nonrelativistic fermions in gauge fields (e.g. Harpe
doi.org
October 17, 2025 at 4:31 AM
In this recently published paper on PTEP, I show the equivalence of spacetime curvature and magnetic (gauge) fields under unitary transformations on a lattice. #physics #ptep
doi.org/10.1093/ptep...
doi.org/10.1093/ptep...
In our recent preprint, we extend the analytical solutions describing topological zero modes localized at smooth phase boundaries to the nonhermitian case.
arxiv.org/abs/2504.07098
arxiv.org/abs/2504.07098
Nonhermitian topological zero modes at smooth domain walls: Exact solutions
The bulk-boundary correspondence predicts the existence of boundary modes localized at the edges of topologically nontrivial systems. The wavefunctions of hermitian boundary modes can be obtained as t...
arxiv.org
April 20, 2025 at 8:25 AM
In our recent preprint, we extend the analytical solutions describing topological zero modes localized at smooth phase boundaries to the nonhermitian case.
arxiv.org/abs/2504.07098
arxiv.org/abs/2504.07098
Published on #PTEP → exact solutions for zero modes of a modified Dirac equation decaying exponentially, or faster, or slower than exponential, for different (hermitian and nonhermitian) potential shapes #physics
doi.org/10.1093/ptep...
arxiv.org/abs/2412.14255
doi.org/10.1093/ptep...
arxiv.org/abs/2412.14255
Zero energy modes with gaussian, exponential, or polynomial decay: Exact solutions in hermitian and nonhermitian regimes
Abstract. Topological zero modes in topological insulators or superconductors are exponentially localized at the phase transition between a topologically t
doi.org
February 17, 2025 at 3:57 AM
Published on #PTEP → exact solutions for zero modes of a modified Dirac equation decaying exponentially, or faster, or slower than exponential, for different (hermitian and nonhermitian) potential shapes #physics
doi.org/10.1093/ptep...
arxiv.org/abs/2412.14255
doi.org/10.1093/ptep...
arxiv.org/abs/2412.14255
New paper! Uncovering the link between spacetime metrics & nonhermitian physics! Contractions/expansions of spacetime correspond to gain/loss nonhermitian processes and nonunitary dynamics ⚛️
arxiv.org/abs/2412.14250
#nonhermitian #quantumgravity #Quantum #arxiv #physics ⚛️
arxiv.org/abs/2412.14250
#nonhermitian #quantumgravity #Quantum #arxiv #physics ⚛️
Metric-induced nonhermitian physics
I consider the long-standing issue of the hermicity of the Dirac equation in curved spacetime metrics. Instead of imposing hermiticity by adding ad hoc terms, I renormalize the field by a scaling func...
arxiv.org
December 23, 2024 at 2:08 PM
New paper! Uncovering the link between spacetime metrics & nonhermitian physics! Contractions/expansions of spacetime correspond to gain/loss nonhermitian processes and nonunitary dynamics ⚛️
arxiv.org/abs/2412.14250
#nonhermitian #quantumgravity #Quantum #arxiv #physics ⚛️
arxiv.org/abs/2412.14250
#nonhermitian #quantumgravity #Quantum #arxiv #physics ⚛️
New paper! We derive exact equations for zero-energy modes with exponential, gaussian, or polynomial decay in topological insulators and superconductors in hermitian and nonhermitian regimes
arxiv.org/abs/2412.14255
#TopologicalPhysics #Quantum #arxiv #physics #majoranamodes
arxiv.org/abs/2412.14255
#TopologicalPhysics #Quantum #arxiv #physics #majoranamodes
Zero energy modes with gaussian, exponential, or polynomial decay: Exact solutions in hermitian and nonhermitian regimes
Topological zero modes in topological insulators or superconductors are exponentially localized at the phase transition between a topologically trivial and nontrivial phase. These modes are solutions ...
arxiv.org
December 23, 2024 at 2:06 PM
New paper! We derive exact equations for zero-energy modes with exponential, gaussian, or polynomial decay in topological insulators and superconductors in hermitian and nonhermitian regimes
arxiv.org/abs/2412.14255
#TopologicalPhysics #Quantum #arxiv #physics #majoranamodes
arxiv.org/abs/2412.14255
#TopologicalPhysics #Quantum #arxiv #physics #majoranamodes
Popular summary here:
"Cracking the code of topological boundaries: Exact solutions for zero modes"
link.growkudos.com/1c0xxxglr0g
"Cracking the code of topological boundaries: Exact solutions for zero modes"
link.growkudos.com/1c0xxxglr0g
December 21, 2024 at 2:30 PM
Popular summary here:
"Cracking the code of topological boundaries: Exact solutions for zero modes"
link.growkudos.com/1c0xxxglr0g
"Cracking the code of topological boundaries: Exact solutions for zero modes"
link.growkudos.com/1c0xxxglr0g
Reposted by Pasquale Marra
Zero energy modes with gaussian, exponential, or polynomial decay: Exact solutions in hermitian and nonhermitian regimes
https://arxiv.org/pdf/2412.14255
Pasquale Marra, Angela Nigro
https://arxiv.org/pdf/2412.14255
Pasquale Marra, Angela Nigro
https://arxiv.org/abs/2412.14255
arXiv abstract link
arxiv.org
December 20, 2024 at 6:17 AM
Zero energy modes with gaussian, exponential, or polynomial decay: Exact solutions in hermitian and nonhermitian regimes
https://arxiv.org/pdf/2412.14255
Pasquale Marra, Angela Nigro
https://arxiv.org/pdf/2412.14255
Pasquale Marra, Angela Nigro
Our recent work on exact analytical solutions of topological zero modes at smooth boundaries published on PTEP
#physics #hep #condensedmatter
doi.org/10.1093/ptep...
#physics #hep #condensedmatter
doi.org/10.1093/ptep...
Topological zero modes and bounded modes at smooth domain walls: Exact solutions and dualities
Abstract. Topology describes global quantities invariant under continuous deformations, such as the number of elementary excitations at a phase boundary, w
doi.org
December 12, 2024 at 12:06 AM
Our recent work on exact analytical solutions of topological zero modes at smooth boundaries published on PTEP
#physics #hep #condensedmatter
doi.org/10.1093/ptep...
#physics #hep #condensedmatter
doi.org/10.1093/ptep...
Magnetic fields (gauge) and gravitational fields (metrics) are very distinct entities. Yet, surprisingly, they are equivalent under a "rotation" combining position and momentum
x,p → x+p,x-p
Details here
arxiv.org/abs/2412.03647
#physics #quantum #gravity
x,p → x+p,x-p
Details here
arxiv.org/abs/2412.03647
#physics #quantum #gravity
Gauge fields induced by curved spacetime on a lattice
I found an extended duality (triality) between Dirac fermions in periodic spacetime metrics, nonrelativistic fermions in gauge fields (e.g., Harper-Hofstadter model), and in periodic scalar fields on ...
arxiv.org
December 6, 2024 at 1:12 AM
Magnetic fields (gauge) and gravitational fields (metrics) are very distinct entities. Yet, surprisingly, they are equivalent under a "rotation" combining position and momentum
x,p → x+p,x-p
Details here
arxiv.org/abs/2412.03647
#physics #quantum #gravity
x,p → x+p,x-p
Details here
arxiv.org/abs/2412.03647
#physics #quantum #gravity
Hi @physgal.bsky.social — could you please add me to the physicist list? ⚛️ #physics Thank you!
@physgal.bsky.social Hello! I am a theoretical condensed matter physicist at the University of Tokyo. It’s nice being here!
November 28, 2024 at 12:20 AM
Hi @physgal.bsky.social — could you please add me to the physicist list? ⚛️ #physics Thank you!
In our recent work, we find exact solutions for topologically-protected zero modes at smooth and exponentially-confined boundaries between trivial and nontrivial phases. This generalizes the exact solutions of Dirac equations with domain walls, i.e., Jackiw-Rebbi solitons.
arxiv.org/abs/2408.16466
arxiv.org/abs/2408.16466
Topological zero modes and bounded modes at smooth domain walls: Exact solutions and dualities
Topology describes global quantities invariant under continuous deformations, such as the number of elementary excitations at a phase boundary, without detailing specifics. Conversely, differential la...
arxiv.org
November 27, 2024 at 11:27 AM
@physgal.bsky.social Hello! I am a theoretical condensed matter physicist at the University of Tokyo. It’s nice being here!
November 27, 2024 at 6:44 AM
@physgal.bsky.social Hello! I am a theoretical condensed matter physicist at the University of Tokyo. It’s nice being here!
In our recent work, we find exact solutions for topologically-protected zero modes at smooth and exponentially-confined boundaries between trivial and nontrivial phases. This generalizes the exact solutions of Dirac equations with domain walls, i.e., Jackiw-Rebbi solitons.
arxiv.org/abs/2408.16466
arxiv.org/abs/2408.16466
Topological zero modes and bounded modes at smooth domain walls: Exact solutions and dualities
Topology describes global quantities invariant under continuous deformations, such as the number of elementary excitations at a phase boundary, without detailing specifics. Conversely, differential la...
arxiv.org
November 22, 2024 at 4:20 AM
In our recent work, we find exact solutions for topologically-protected zero modes at smooth and exponentially-confined boundaries between trivial and nontrivial phases. This generalizes the exact solutions of Dirac equations with domain walls, i.e., Jackiw-Rebbi solitons.
arxiv.org/abs/2408.16466
arxiv.org/abs/2408.16466