Eric J. Heller

Prof. Eric J. Heller


Research Focus & Metrics

Academic Career Length

35Years (1992-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

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16 July 2003 in Reviews of Modern Physics
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GFGregory A. Fiete
Gregory A. Fiete
Eric J. HellerEric J. Heller
Eric J. Heller
Quantum corrals are two-dimensional structures built atom by atom on an atomically clean metallic surface using a scanning tunneling microscope (STM). These two-dimensional structures “corral” electrons in the surface states of noble metals, leading to standing-wave patterns in the electron density inside the quantum corral. The authors review the physics of quantum corrals and relate the signal of the STM to the scattering properties of substrate electrons from atomic impurities supported on the surface. The theory includes the effects of incoherent surface-state electron scattering at the impurities and quantitively describes nearly all of the current STM data on quantum corrals, including the recent quantum mirage experiments with Kondo effect. The physics underlying the recent mirage experiments is discussed, as are some of the outstanding questions regarding the Kondo effect from impurities in nanoscale structures on metallic surfaces. The authors also summarize recent work on variations of “quantum” corrals: Optical corrals and acoustical corrals.

4 February 2016 in ACS Nano
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Eric J. HellerEric J. Heller
Eric J. Heller
YYYuan Yang
Yuan Yang
LKLucas Kocia
Lucas Kocia
WCWei Chen
Wei Chen
SFShiang Fang
Shiang Fang
EKEfthimios Kaxiras
Efthimios Kaxiras

11 September 2008 in Journal of Geophysical Research: Oceans
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Eric J. HellerEric J. Heller
Eric J. Heller
LKL. Kaplan
L. Kaplan
ADA. Dahlen
A. Dahlen

1 June 1999 in Physical Review E
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LKL. Kaplan
L. Kaplan
Eric J. HellerEric J. Heller
Eric J. Heller
The phenomenon of periodic orbit scarring of eigenstates of classically chaotic systems is attracting increasing attention. Scarring is one of the most important “corrections” to the ideal random eigenstates suggested by random matrix theory. This paper discusses measures of scars and in so doing also tries to clarify the concepts and effects of eigenfunction scarring. We propose a universal scar measure which takes into account an entire periodic orbit and the linearized dynamics in its vicinity. This measure is tuned to pick out those structures which are induced in quantum eigenstates by unstable periodic orbits and their manifolds. It gives enhanced scarring strength as measured by eigenstate overlaps and inverse participation ratios, especially for longer orbits. We also discuss off-resonance scars which appear naturally on either side of an unstable periodic orbit.

4 June 2005 in Nano Letters
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Eric J. HellerEric J. Heller
Eric J. Heller
KAK. E. Aidala
K. E. Aidala
BLB. J. LeRoy
B. J. LeRoy
ABA. C. Bleszynski
A. C. Bleszynski
AKA. Kalben
A. Kalben
AGA. C. Gossard
A. C. Gossard

23 March 2015 in ACS Central Science
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Journal Article
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Eric J. HellerEric J. Heller
Eric J. Heller
YYYuan Yang
Yuan Yang
LKLucas Kocia
Lucas Kocia
Polyacetylene has been a paradigm conjugated organic conductor since well before other conjugated carbon systems such as nanotubes and graphene became front and center. It is widely acknowledged that Raman spectroscopy of these systems is extremely important to characterize them and understand their internal quantum behavior. Here we show, for the first time, what information the Raman spectrum of polyacetylene contains, by solving the 35-year-old mystery of its spectrum. Our methods have immediate and clear implications for other conjugated carbon systems. By relaxing the nearly universal approximation of ignoring the nuclear coordinate dependence of the transition moment (Condon approximation), we find the reasons for its unusual spectroscopic features. When the Kramers–Heisenberg–Dirac Raman scattering theory is fully applied, incorporating this nuclear coordinate dependence, and also the energy and momentum dependence of the electronic and phonon band structure, then unusual line shapes, growth, and dispersion of the bands are explained and very well matched by theory.