Michael Fogler is a condesd-matter theoriest in the field of low-dimensional materials and nano-optics. His research contributions range from studies of electronic properties to photonics and plasmonics. Dr. Fogler investigates properties of new materials. He tackles that involve the interplay of interacion, disorder, and quantum effects. Dr. Fogler's research commits to understanding, explaning, and predicting physical phenomena in real materials.
All known superfluid and superconducting states of condensed matter are enabled by
composite bosons (atoms, molecules and Cooper pairs) made of an even number of
fermions. Temperatures where such macroscopic quantum phenomena occur are limited by
the lesser of the binding energy and the degeneracy temperature of the bosons. High-critical
temperature cuprate superconductors set the present record of~ 100 K. Here we propose a
design for artificially structured materials to rival this record. The main elements of the
structure are two monolayers of a transition metal dichalcogenide separated by an
atomically thin spacer. Electrons and holes generated in the system would accumulate in the
opposite monolayers and form bosonic bound states—the indirect excitons. The resultant
degenerate Bose gas of indirect excitons would exhibit macroscopic occupation of a … Link
If bosonic particles are cooled down below the temperature of quantum degeneracy, they
can spontaneously form a coherent state in which individual matter waves synchronize and
combine. Spontaneous coherence of matter waves forms the basis of a number of
fundamental phenomena in physics, including superconductivity, superfluidity and Bose–
Einstein condensation 1, 2. Spontaneous coherence is the key characteristic of
condensation in momentum space 3. Excitons—bound pairs of electrons and holes—form a
model system to explore the quantum physics of cold bosons in solids 4, 5. Cold exciton
gases can be realized in a system of indirect excitons, which can cool down below the
temperature of quantum degeneracy owing to their long lifetimes 6. Here we report
measurements of spontaneous coherence in a gas of indirect excitons. We found that … Link
Alexander A High, Jason R Leonard, Aaron T Hammack, Michael M Fogler, Leonid V Butov, Alexey V Kavokin, Kenneth L Campman, and Arthur C Gossard. Nature 483 (7391), 584
We report on the observation of the
Pancharatnam-Berry phase in a condensate of indirect excitons realized in a GaAs coupled quantum
well structure. Our measurements indicate long range coherent spin transport … The
Pancharatnam-Berry phase is a geometric phase acquired over a cycle of parameters in the
Hamiltonian gov- erning the evolution of the system. It was discovered by Pancharatnam in studies
of polarized light and introduced by Berry as a topological phase for matter wave functions. Excitons are matter waves that directly transform to photons inheriting their coherence … Link
J.R. Leonard, A.A. High, A.T. Hammack, M.M. Fogler, L.V. Butov, K.L. Campman, and A.C. Gossard. CLEO: QELS_Fundamental Science, FM3H. 3
Graphene has many uncommon properties. It is the strongest material ever tested, efficiently conducts heat and electricity, and is nearly transparent. Our group makes use of those phenemenons to predict many electric behaviors, especially plasmonic. It can transmit information pass the limitation of traditional dielectric resonators. We explore properties of nano
structures of such to route and manipulation of light/information at a micro length scale.
References
Surface plasmons are collective oscillations of electrons in metals or semiconductors that enable confinement and control of electromagnetic energy at sub wavelength scales. Rapid progress in plasmonics has largely relied on advances in device nano-fabrication, whereas less attention has been paid to the tunable properties of plasmonic media. One such medium—graphene—is amenable to convenient tuning of its electronic and optical properties by varying the applied voltage. Here, using infrared nano-imaging, we show that common graphene/SiO2/Si back-gated structures support propagating surface plasmons. The wavelength of graphene plasmons is of the order of 200 nanometres at technologically relevant infrared frequencies, and they can propagate several times this distance. Link
Zhe Fei, AS Rodin, GO Andreev, W Bao, AS McLeod, M Wagner, LM Zhang, Z Zhao, M Thiemens, G Dominguez, MM Fogler, AH Castro Neto, C.N. Lau, Fritz Keilmann, D.N. Basov. Nature 487 (7405), 82
We report on infrared (IR) nanoscopy of 2D plasmon excitations of Dirac fermions in graphene. This is achieved by confining mid-IR radiation at the apex of a nanoscale tip: an approach yielding 2 orders of magnitude increase in the value of in-plane component of incident wavevector qcompared to free space propagation. At these high wavevectors, the Dirac plasmon is found to dramatically enhance the near-field interaction with mid-IR surface phonons of SiO2 substrate. Our data augmented by detailed modeling establish graphene as a new medium supporting plasmonic effects that can be controlled by gate voltage. Link
Zhe Fei, Gregory O Andreev, Wenzhong Bao, Lingfeng M Zhang, Alexander S. McLeod, Chen Wang, Margaret K Stewart, Zeng Zhao, Gerardo Dominguez, Mark Thiemens, Michael M Fogler, Michael J Tauber, Antonio H Castro-Neto, Chun Ning Lau, Fritz Keilmann, and Dimitri N Basov. Nano letters 11 (11), 4701-4705
Our imaging technique, which we refer to as „scanning plasmon interferometery‟, is implemented in a setting of an antenna-based infrared (IR) nanoscope6-8 . A schematic diagram of the scanning plasmon interferometry technique is shown in Fig. 1a. Infrared light focused on a metalized tip of an atomic force microscope (AFM) generates a strong localized field around the sharp tip apex, analogous to a “lightning-rod” effect . This concentrated electric field launches circular SPs around the tip (pink circles in the figure on the left). The process is controlled by two experimental parameters: the wavelength of light IR and the curvature radius of the tip R. In order to efficiently launch SPs on our highly doped graphene films, we chose IR light with IR close to 10 m and AFM tips with R ≈ 25 nm (Methods). The experimental observable of the scanning plasmon interferometry is the scattering amplitude s that is collected simultaneously with AFM topography. Link
Zhe Fei, AS Rodin, W Gannett, S Dai, W Regan, M Wagner, MK Liu, AS McLeod, G Dominguez, M Thiemens, Antonio H Castro Neto, F Keilmann, A Zettl, R Hillenbrand, MM Fogler, and DN Basov, Nature nanotechnology 8 (11), 821, 2013
Near-field optics uniquely addresses problems of x, y and z resolution by spatially confining the effect of a light source to nanometric domains. It serves a bridging role in Physics between optical imaging and scanned probe microscopy. The integration of near-field and scanned probe imaging with far-field optics thus holds promise for solving the so-called inverse problem of optical imaging. With the help of near field optics, our group were able to confirm our predictions with the experiments.
References
We analyze the results of scanning near-field infrared spectroscopy performed on thin films
of a-SiO 2 on Si substrate. The measured near-field signal exhibits surface-phonon
resonances whose strength has a prominent thickness dependence in the range from 2 to
300 nm. These observations are compared with calculations in which the tip of the near-field
infrared spectrometer is modeled either as a point dipole or an elongated spheroid. The
latter model accounts for the antenna effect of the tip and gives a better agreement with the
experiment. Possible applications of the near-field technique for depth profiling of layered
nanostructures are discussed. Link
Lingfeng M Zhang, Gregory O Andreev, Zhe Fei, Alexander S McLeod, Gerardo Dominguez, Mark Thiemens, AH Castro-Neto, DN Basov, Michael M Fogler. Physical Review B 85 (7), 075419
Near-field infrared spectroscopy has recently been demonstrated with the ability to resolve
optical properties of sub-wavelength sample areas across a broad range of infrared
frequencies [1]. This method holds promise for the direct identification of sub-wavelength
chemical composition in nanostructured and heterogeneous samples. We apply this
technique to the study of phonon-resonant silicon carbide nanocrystals and silicate
nanospheres tens of nanometers in size using a scattering mode scanning near-field optical
microscope (s-SNOM) coupled to a pulsed broadband infrared laser source and FTIR
spectrometer. Measurements of nanocrystal near-field spectra in the range of 700-1300 cm−
1 are obtained with this technique and evaluated in comparison with nearfield spectra of
bulk silicate and silicon carbide. Material properties are calibrated with ellipsometry, X-ray … Link
Alexander S McLeod, Gerardo Dominguez, Z Gainsforth, P Kelley, G Andreev, M Thiemens, F Keilmann, and D.N. Basov. Bulletin of the American Physical Society 57
We report on the first implementation of ultrafast near field measurements carried out with
the transient pseudoheterodyne detection method (Tr-pHD). This method is well suited for
efficient and artifact free pump-probe scattering-type near-field optical microscopy with
nanometer scale resolution. The Tr-pHD technique is critically compared to other data
acquisition methods and found to offer significant advantages. Experimental evidence for the
advantages of Tr-pHD is provided in the near-IR frequency range. Crucial factors involved in
achieving proper performance of the Tr-pHD method with pulsed laser sources are analyzed
and detailed in this work. We applied this novel method to femtosecond time-resolved and
nanometer spatially resolved studies of the photo-induced effects in the insulator-to-metal
transition system vanadium dioxide. Link
Aaron J Sternbach, Jamie Hinton, Tetiana Slusar, Alex S McLeod, MK Liu, Alex Frenzel, M Wagner, Ruben Iraheta, Fritz Keilmann, Alfred Leitenstorfer, M.M. Fogler, H-T Kim, R.D. Averitt, and D.N. Basov. Optics Express 25 (23), 28589-28611
An exciton is a bound state of an electron and an electron hole which are attracted to each other by the electrostatic Coulomb force. It is an electrically neutral quasiparticle that exists in insulators, semiconductors and in some liquids. The exciton is regarded as an elementary excitation of condensed matter that can transport energy without transporting net electric charge. Our research focues on excitons in different structures and anlysising its physics properties, and further predict its effect to the materials.
All known superfluid and superconducting states of condensed matter are enabled by
composite bosons (atoms, molecules and Cooper pairs) made of an even number of
fermions. Temperatures where such macroscopic quantum phenomena occur are limited by
the lesser of the binding energy and the degeneracy temperature of the bosons. High-critical
temperature cuprate superconductors set the present record of~ 100 K. Here we propose a
design for artificially structured materials to rival this record. The main elements of the
structure are two monolayers of a transition metal dichalcogenide separated by an
atomically thin spacer. Electrons and holes generated in the system would accumulate in the
opposite monolayers and form bosonic bound states—the indirect excitons. The resultant
degenerate Bose gas of indirect excitons would exhibit macroscopic occupation of a … Link
We report on the observation of the
Pancharatnam-Berry phase in a condensate of indirect excitons realized in a GaAs coupled quantum
well structure. Our measurements indicate long range coherent spin transport … The
Pancharatnam-Berry phase is a geometric phase acquired over a cycle of parameters in the
Hamiltonian gov- erning the evolution of the system. It was discovered by Pancharatnam in studies
of polarized light and introduced by Berry as a topological phase for matter wave functions. Excitons are matter waves that directly transform to photons inheriting their coherence … Link
J.R. Leonard, A.A. High, A.T. Hammack, M.M. Fogler, L.V. Butov, K.L. Campman, and A.C. Gossard. CLEO: QELS_Fundamental Science, FM3H. 3
If bosonic particles are cooled down below the temperature of quantum degeneracy, they
can spontaneously form a coherent state in which individual matter waves synchronize and
combine. Spontaneous coherence of matter waves forms the basis of a number of
fundamental phenomena in physics, including superconductivity, superfluidity and Bose–
Einstein condensation 1, 2. Spontaneous coherence is the key characteristic of
condensation in momentum space 3. Excitons—bound pairs of electrons and holes—form a
model system to explore the quantum physics of cold bosons in solids 4, 5. Cold exciton
gases can be realized in a system of indirect excitons, which can cool down below the
temperature of quantum degeneracy owing to their long lifetimes 6. Here we report
measurements of spontaneous coherence in a gas of indirect excitons. We found that … Link
The low dimensional system is very fruitful for investigating quantum and interaction effects. Dr. Fogler's early work studied the properties of materials, predicting the electromagnetic behaviors and dynamatics in microsopic structures. In such low dimension, with the understanding of quantum hall effects.
References
We study the ground state of a clean two-dimensional electron liquid in a weak magnetic field
where
N
≫ 1 lower Landau levels are completely filled and the upper level is partially filled. It is
shown that the electrons at the upper Landau level form domains with filling factor equal to one
and zero. The domains alternate with a spatial period of the order of the cyclotron radius, which
is much larger than the interparticle distance at the upper Landau level. The one-particle density
of states, which can be probed by tunneling experiments, is shown to have a pseudogap linearly
dependent on the magnetic field in the limit of large
N
. Link
M.M. Fogler, A.A. Koulakov, and B.I. Shklovskii Physical Review B 54 (3), 1853
We show that the cyclotron resonance in a two-dimensional electron gas has nontrivial
properties if the correlation length of the disorder is larger than the Fermi wavelength:(a) The
line shape assumes three different forms in strong, intermediate, and weak magnetic
fields.(b) The linewidth collapses at the transition from the intermediate to the weak fields via
the motional narrowing mechanism brought about by a dramatic enhancement of the
localization length. Link
M.M. Fogler, and B.I. Shklovskiii Surface science 361, 255-260
The resistivity minima of the quantum Hall effect arise due to the localization of the electron
states at the Fermi energy, when it is positioned between adjacent Landau levels. In this
paper we calculate the localization length ξ of such states at even filling factors ν= 2 N. The
calculation is done for several models of disorder (“white-noise,” short-range, and long-
range random potentials). We find that the localization length has a power-law dependence
on the Landau level index, ξ∝ N α with the exponent α between one and 10 3, depending
on the model. In particular, for a “white-noise” random potential ξ roughly coincides with the
classical cyclotron radius. Our results are in reasonable agreement with experimental data
on low and moderate mobility samples. Link
M.M. Fogler, A. Yu Dobin, and B.I. Shklovskii Physical Review B 57 (8), 4614