#  Heller Group 

 



##  Sliding "Mechanism" 

Sliding along the linear dispersion of graphene's Dirac cone is responsible for graphene's bright 2D Raman peak.



 

 [ Read more arrow\_circle\_right ](http://pubs.acs.org.ezp-prod1.hul.harvard.edu/doi/abs/10.1021/acsnano.5b07676) 

 

       ![nn2.gif](/sites/g/files/omnuum7821/files/styles/hwp_28_10__1920x685/public/hellergroup/files/nn2.gif?itok=ESFffd-e) 

 

 



 

 



 

##  Recent Publications 

 



  Download 6 citations  download- [BibTeX](/bibcite/export?pager_style=no_pager&number_of_items=6&sort_field=bibcite_year--desc&&content_filter%5B0%5D=1623445&content_filter%5B1%5D=1623443&content_filter%5B2%5D=1472018&content_filter%5B3%5D=1469962&content_filter%5B4%5D=1468988&content_filter%5B5%5D=1459511&&format=bibtex)
- [EndNote X3 XML](/bibcite/export?pager_style=no_pager&number_of_items=6&sort_field=bibcite_year--desc&&content_filter%5B0%5D=1623445&content_filter%5B1%5D=1623443&content_filter%5B2%5D=1472018&content_filter%5B3%5D=1469962&content_filter%5B4%5D=1468988&content_filter%5B5%5D=1459511&&format=endnote8)
- [EndNote 7 XML](/bibcite/export?pager_style=no_pager&number_of_items=6&sort_field=bibcite_year--desc&&content_filter%5B0%5D=1623445&content_filter%5B1%5D=1623443&content_filter%5B2%5D=1472018&content_filter%5B3%5D=1469962&content_filter%5B4%5D=1468988&content_filter%5B5%5D=1459511&&format=endnote7)
- [Endnote tagged](/bibcite/export?pager_style=no_pager&number_of_items=6&sort_field=bibcite_year--desc&&content_filter%5B0%5D=1623445&content_filter%5B1%5D=1623443&content_filter%5B2%5D=1472018&content_filter%5B3%5D=1469962&content_filter%5B4%5D=1468988&content_filter%5B5%5D=1459511&&format=tagged)
- [Marc](/bibcite/export?pager_style=no_pager&number_of_items=6&sort_field=bibcite_year--desc&&content_filter%5B0%5D=1623445&content_filter%5B1%5D=1623443&content_filter%5B2%5D=1472018&content_filter%5B3%5D=1469962&content_filter%5B4%5D=1468988&content_filter%5B5%5D=1459511&&format=marc)
- [PubMedId](/bibcite/export?pager_style=no_pager&number_of_items=6&sort_field=bibcite_year--desc&&content_filter%5B0%5D=1623445&content_filter%5B1%5D=1623443&content_filter%5B2%5D=1472018&content_filter%5B3%5D=1469962&content_filter%5B4%5D=1468988&content_filter%5B5%5D=1459511&&format=pubmed_id)
- [RIS](/bibcite/export?pager_style=no_pager&number_of_items=6&sort_field=bibcite_year--desc&&content_filter%5B0%5D=1623445&content_filter%5B1%5D=1623443&content_filter%5B2%5D=1472018&content_filter%5B3%5D=1469962&content_filter%5B4%5D=1468988&content_filter%5B5%5D=1459511&&format=ris)
 


 

### 2021

Soley, M. B. &amp; Avanaki, K. N. [Reducing anomalous reflection from complex absorbing potentials: A semiclassical approach](/publications/reducing-anomalous-reflection-complex-absorbing-potentials-semiclassical). *Phys. Rev. A* **103**, L041301 (2021).



 

 

Soley, M. B. &amp; Avanaki, K. N. [Reducing anomalous reflection from complex absorbing potentials: A semiclassical approach](/publications/reducing-anomalous-reflection-complex-absorbing-potentials-semiclassical). *Phys. Rev. A* **103**, L041301 (2021).



 

 

 

- add\_circle do\_not\_disturb\_on Abstract
- [ descriptionPublisher's Version](https://journals.aps.org/pra/abstract/10.1103/PhysRevA.103.L041301)
 
Numerical simulations are frequently required for quantum scattering problems and often face difficulties with finite grids and unwanted, unphysical reflections. For decades, improved complex absorbing potentials (CAPs) have been sought. Today, the rise...



 

 

- [ descriptionPublisher's Version](https://journals.aps.org/pra/abstract/10.1103/PhysRevA.103.L041301)
 
 

Alvar Daza, Graf, A. M. &amp; Räsänen, E. [Propagation of waves in high Brillouin zones: Chaotic branched flow and stable superwires](/publications/propagation-waves-high-brillouin-zones-chaotic-branched-flow-and-stable). *PNAS* **118**, e2110285118 (2021).



 

 

Alvar Daza, Graf, A. M. &amp; Räsänen, E. [Propagation of waves in high Brillouin zones: Chaotic branched flow and stable superwires](/publications/propagation-waves-high-brillouin-zones-chaotic-branched-flow-and-stable). *PNAS* **118**, e2110285118 (2021).



 

 

 

- add\_circle do\_not\_disturb\_on Abstract
- [ descriptionPublisher's Version](https://www.pnas.org/content/118/40/e2110285118.short?casa_token=ID1WS0OSwhQAAAAA:Posm27GEHdSRT679CukNu-4fnsGnU33cEka8UUBDoy_yNgVX1zBpc4k7PlKalu1PdQKggiclt_n74U0)
 
We report unexpected classical and quantum dynamics of a wave propagating in a periodic potential in high Brillouin zones. Branched flow appears at wavelengths shorter than the typical length scale of the ordered periodic structure and for energies above...



 

 

- [ descriptionPublisher's Version](https://www.pnas.org/content/118/40/e2110285118.short?casa_token=ID1WS0OSwhQAAAAA:Posm27GEHdSRT679CukNu-4fnsGnU33cEka8UUBDoy_yNgVX1zBpc4k7PlKalu1PdQKggiclt_n74U0)
 
 

 



### 2019

Ruhanen, A. [Quantum Lissajous scars](/publications/quantum-lissajous-scars). *Physical Review Letters* (2019).



 

 

Ruhanen, A. [Quantum Lissajous scars](/publications/quantum-lissajous-scars). *Physical Review Letters* (2019).



 

 

 

- add\_circle do\_not\_disturb\_on Abstract
- [ descriptionPublisher's Version](https://journals.aps.org/prl/accepted/b1078Y7fSb113673531738960297de5e5ff39e120)
 
 The enhancement of a quantum state in the vicinity of a classical periodic orbit, or a quantum scar, is a fundamental phenomenon connecting quantum and classical mechanics. Here we demonstrate that some of the eigenstates of the perturbed two-dimensional... 

 

 

- [ descriptionPublisher's Version](https://journals.aps.org/prl/accepted/b1078Y7fSb113673531738960297de5e5ff39e120)
 
 

Heller, E. J., Fleischmann, R. &amp; Kramer, T. [Branched Flow](/publications/branched-flow). *arXiv:1910.07086* (2019).



 

 

Heller, E. J., Fleischmann, R. &amp; Kramer, T. [Branched Flow](/publications/branched-flow). *arXiv:1910.07086* (2019).



 

 

 

- add\_circle do\_not\_disturb\_on Abstract
- [ descriptionPublisher's Version](https://arxiv.org/pdf/1910.07086.pdf)
 
In many physical situations involving diverse length scales, waves or rays representing them travel through media characterized by spatially smooth, random, modest refactive index variations. “Primary” diffraction (by individual sub-wavelength features)...



 

 

- [ descriptionPublisher's Version](https://arxiv.org/pdf/1910.07086.pdf)
 
 

[Hitting a Ball on a Spring: A Simple Model for Understanding Decoherence with Wavefunctions](/publications/hitting-ball-spring-simple-model-understanding-decoherence-wavefunctions). *European Journal of Physics* (2019).



 

 

[Hitting a Ball on a Spring: A Simple Model for Understanding Decoherence with Wavefunctions](/publications/hitting-ball-spring-simple-model-understanding-decoherence-wavefunctions). *European Journal of Physics* (2019).



 

 

 

- add\_circle do\_not\_disturb\_on Abstract
- [ descriptionPublisher's Version](https://doi.org/10.1088/1361-6404/ab4d10)
 
 The typical approach to studying decoherence begins by examining a combined system and interacting environment (termed bath), and then deriving a master equation to examine the behavior of the density matrix after tracing over the bath, typically by... 

 

 

- [ descriptionPublisher's Version](https://doi.org/10.1088/1361-6404/ab4d10)
 
 

Mohanty, V. [Lazy electrons in graphene](/publications/lazy-electrons-graphene). *PNAS* (2019).



 

 

Mohanty, V. [Lazy electrons in graphene](/publications/lazy-electrons-graphene). *PNAS* (2019).



 

 

 

- add\_circle do\_not\_disturb\_on Abstract
- [ descriptionPublisher's Version](https://doi.org/10.1073/pnas.1908624116)
 
Within a tight-binding approximation, we numerically determine the time evolution of graphene electronic states in the presence of classically vibrating nuclei. There is no reliance on the Born–Oppenheimer approximation within the p-orbital tight-binding...



 

 

- [ descriptionPublisher's Version](https://doi.org/10.1073/pnas.1908624116)
 
 

 



 

 

 

 [ More arrow\_circle\_right ](/publications)