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Joseph L. Birman - Publications

Affiliations: 
1964-1974 New York University, New York, NY, United States 
 1974- Physics City University of New York, New York, NY, United States 
Area:
Condensed Matter Physics
Website:
https://www.aps.org/publications/apsnews/updates/josephbirman.cfm

110 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2015 Fiolhais MCN, Birman JL. Size effects in the Ginzburg-Landau theory Solid State Communications. 203: 51-53. DOI: 10.1016/J.Ssc.2014.11.009  0.362
2015 Li J, Tu JJ, Birman JL. Raman scattering using vortex light Journal of Physics and Chemistry of Solids. 77: 117-121. DOI: 10.1016/J.Jpcs.2014.10.012  0.314
2014 Fiolhais MCN, Birman JL. Phenomenological correlations in high-temperature superconductors Epl. 107. DOI: 10.1209/0295-5075/107/27001  0.321
2014 Fiolhais MCN, Birman JL. Gauge invariance and spontaneous symmetry breaking in two-gap superconductors Physics Letters, Section a: General, Atomic and Solid State Physics. 378: 2632-2634. DOI: 10.1016/J.Physleta.2014.07.011  0.316
2013 Li J, Tu JJ, Birman JL. Symmetry predicted transitions in 3D topological insulators Solid State Communications. 163: 11-14. DOI: 10.1016/J.Ssc.2013.03.010  0.341
2013 Birman JL, Nazmitdinov RG, Yukalov VI. Effects of symmetry breaking in finite quantum systems Physics Reports. 526: 1-91. DOI: 10.1016/J.Physrep.2012.11.005  0.312
2012 Roslyak O, Aparajita U, Birman JL, Mukamel S. Coherent manipulation of quadrupole biexcitons in cuprous oxide by 2D femtosecond spectroscopy Physica Status Solidi (B) Basic Research. 249: 435-447. DOI: 10.1002/Pssb.201147402  0.74
2008 Roslyak O, Birman JL. Theory of enhanced second-harmonic generation by the quadrupole-dipole hybrid exciton. Journal of Physics. Condensed Matter : An Institute of Physics Journal. 20: 235238. PMID 21694328 DOI: 10.1088/0953-8984/20/23/235238  0.671
2008 Roslyak O, Birman JL. Theory of high-density optical effects on polaritons in Cu2 O: Bistability and optical hysteresis Physical Review B - Condensed Matter and Materials Physics. 77. DOI: 10.1103/Physrevb.77.075206  0.639
2008 Roslyak O, Birman JL. Evanescent quadrupole polariton Solid State Communications. 145: 29-32. DOI: 10.1016/J.Ssc.2007.10.002  0.664
2007 Roslyak O, Birman JL. Hybridized quadrupole-dipole exciton effects in a Cu2 O -organic heterostructure Physical Review B - Condensed Matter and Materials Physics. 75. DOI: 10.1103/Physrevb.75.245309  0.675
2007 Krivolapov Y, Mann A, Birman JL. Theory of coexistence of superconductivity and ferroelectricity Physical Review B - Condensed Matter and Materials Physics. 75. DOI: 10.1103/Physrevb.75.092503  0.314
2007 Roslyak O, Birman JL. Theory of enhanced dynamical photo-thermal bi-stability effects in cuprous oxide/organic hybrid heterostructure Solid State Communications. 143: 487-492. DOI: 10.1016/J.Ssc.2007.06.024  0.669
2007 Birman JL, Huong NQ. Wannier-Frenkel hybrid exciton in organic-semiconductor quantum dot heterostructures Journal of Luminescence. 125: 196-200. DOI: 10.1016/J.Jlumin.2006.08.030  0.308
2006 Jin S, Xie BH, Zhang HB, Birman JL, Ge ML. Su(3) algebraic structure of the cuprate superconductor model based on the analogy with atomic nuclei Philosophical Magazine Letters. 86: 743-754. DOI: 10.1080/09500830600993303  0.323
2005 Pan F, Zhang Y, Jin S, Draayer JP, Ge ML, Birman JL. Quantum phase transition in the U(3) boson system Physics Letters, Section a: General, Atomic and Solid State Physics. 341: 291-296. DOI: 10.1016/J.Physleta.2005.04.086  0.309
2004 Zimbovskaya NA, Gumbs G, Birman JL. THEORY OF THE DC MAGNETOTRANSPORT IN LATERALLY MODULATED QUANTUM HALL SYSTEMS NEAR FILLING ν International Journal of Modern Physics B. 18: 1581-1594. DOI: 10.1142/S0217979204024793  0.309
2004 Huong NQ, Birman JL. Theory of luminescent emission in nanocrystal ZnS:Mn with an extra electron Physical Review B - Condensed Matter and Materials Physics. 69: 853211-853219. DOI: 10.1103/Physrevb.69.085321  0.339
2003 Huong NQ, Birman JL. Hybrid exciton state in a quantum dot-dendrite system: Green functions Physical Review B - Condensed Matter and Materials Physics. 67: 753131-753138. DOI: 10.1103/Physrevb.67.075313  0.324
2003 Tevlin L, Birman JL. Quantum Hall stripes in a periodic potential Physica E: Low-Dimensional Systems and Nanostructures. 18: 134-135. DOI: 10.1016/S1386-9477(02)01048-2  0.752
2002 Zimbovskaya NA, Birman JL. On the theory of quantum oscillatons of the elastic moduli in layered conductors International Journal of Modern Physics B. 16: 1767-1786. DOI: 10.1142/S0217979202010208  0.34
2002 Trallero-Giner C, de León-Pérez F, Lu M, Birman JL. Scattering of hot excitons due to optical phonons in quantum wells: Multiphonon resonant Raman process Physical Review B. 65. DOI: 10.1103/Physrevb.65.115314  0.386
2001 Birman JL, Zimbovskaya NA. Electrodynamics of nearly ferroelectric superconductors Physical Review B - Condensed Matter and Materials Physics. 64: 1445061-1445068. DOI: 10.1103/Physrevb.64.144506  0.311
2000 Huong NQ, Birman JL. Quantum dot lattice embedded in an organic medium: Hybrid exciton state and optical response Physical Review B - Condensed Matter and Materials Physics. 61: 13131-13136. DOI: 10.1103/Physrevb.61.13131  0.347
2000 Muljarov EA, Yablonskii AL, Tikhodeev SG, Bulatov AE, Birman JL. Hyperspherical theory of anisotropic exciton Journal of Mathematical Physics. 41: 6026-6041. DOI: 10.1063/1.1286772  0.373
2000 Zimbovskaya NA, Birman JL. On the theory of a new maximum observed in dc transport in modulated quantum hall systems near ν = 1/2 Solid State Communications. 116: 21-26. DOI: 10.1016/S0038-1098(00)00273-8  0.315
2000 Huong NQ, Birman JL. Electronic state and optical response of a semiconductor quantum dot lattice embedded in an organic host Journal of Luminescence. 87: 333-336. DOI: 10.1016/S0022-2313(99)00359-2  0.349
1999 Zimbovskaya NA, Birman JL. DEFORMED FERMI SURFACE THEORY OF MAGNETO–ACOUSTIC RESPONSE IN MODULATED QUANTUM HALL SYSTEMS NEAR ν=1/2 International Journal of Modern Physics B. 13: 859-868. DOI: 10.1142/S0217979299000722  0.338
1999 Zimbovskaya NA, Birman JL. Dynamical Kohn anomaly in surface acoustic wave response in quantum Hall systems near ν=1/2 Physical Review B - Condensed Matter and Materials Physics. 60: 2864-2868. DOI: 10.1103/Physrevb.60.2864  0.302
1999 Zimbovskaya NA, Birman JL. Theory of magnetoacoustic transport in modulated quantum Hall systems near ν = 1 / 2 Physical Review B. 60: 16762-16773. DOI: 10.1103/Physrevb.60.16762  0.331
1999 Muljarov EA, Yablonskii AL, Tikhodeev SG, Bulatov AE, Birman JL. Optical properties of anisotropic exciton: Hyperspherical theory Physical Review B. 59: 4600-4603. DOI: 10.1103/Physrevb.59.4600  0.346
1997 Zang J, Birman JL, Bishop AR, Wang L. Nonequilibrium Transport and Population Inversion in Double Quantum Dot Systems International Journal of Modern Physics B. 11: 1463-1475. DOI: 10.1142/S0217979297000745  0.323
1997 Kuklov AB, Chencinski N, Levine AM, Schreiber WM, Birman JL. Quantum Dephasing Of Normal Modes Of A Bose-Einstein Condensate In A Magnetic Trap Physical Review A. 55. DOI: 10.1103/Physreva.55.R3307  0.316
1997 Tevlin LS, Birman JL. Current and dynamical correlators in the Calogero-Sutherland model Physics Letters, Section a: General, Atomic and Solid State Physics. 227: 387-394. DOI: 10.1016/S0375-9601(97)00026-1  0.737
1996 Kremerman VA, Kuklov AB, Birman JL. Evanescent field Raman scattering by phonons with parabolic dispersion Solid State Communications. 100: 275-280. DOI: 10.1016/0038-1098(96)00206-2  0.334
1995 Kuklov AB, Krakovsky A, Birman JL. Interlayer vortices and edge dislocations in high-temperature superconductors. Physical Review. B, Condensed Matter. 52: 623-628. PMID 9979642 DOI: 10.1103/Physrevb.52.623  0.305
1995 Zang J, Birman JL. Structure of the magnetoexciton and optical properties in fractional quantum Hall systems. Physical Review. B, Condensed Matter. 51: 5574-5577. PMID 9979462 DOI: 10.1103/Physrevb.51.5574  0.373
1995 Nguyen Ai Viet, Birman JL. On the theory of the interface exciton Solid State Communications. 93: 219-223. DOI: 10.1016/0038-1098(94)00681-4  0.312
1995 Zang J, Birman JL, Su ZB. Theory of second order optical processes from a Luttinger liquid Solid State Communications. 94: 321-327. DOI: 10.1016/0038-1098(94)00648-2  0.305
1994 Artoni M, Birman JL. Non-classical states in solids and detection Optics Communications. 104: 319-324. DOI: 10.1016/0030-4018(94)90563-0  0.36
1993 Zang J, Schmeltzer D, Birman JL. Optical Fermi edge singularity of double-layer quantum Hall systems. Physical Review Letters. 71: 773-776. PMID 10055363 DOI: 10.1103/Physrevlett.71.773  0.33
1993 Zang J, Birman JL. Farey series, hierarchy structure, and scaling theory of the fractional quantum Hall effect. Physical Review. B, Condensed Matter. 47: 16305-16310. PMID 10006056 DOI: 10.1103/Physrevb.47.16305  0.314
1993 Zang J, Birman JL. Theory of coherent transport through a strongly disordered system: Resonant tunneling in the one-dimensional tight-binding model. Physical Review. B, Condensed Matter. 47: 10654-10661. PMID 10005181 DOI: 10.1103/Physrevb.47.10654  0.316
1992 Wang BS, Birman JL, Su ZB. Optical spectrum of 2D electrons in the fractional quantum Hall regime. Physical Review Letters. 68: 1605-1608. PMID 10045174 DOI: 10.1103/Physrevlett.68.1605  0.342
1992 Zang J, Birman JL. Theory of intrinsic bistability in double-barrier resonant-tunneling structures. Physical Review. B, Condensed Matter. 46: 5020-5023. PMID 10004274 DOI: 10.1103/Physrevb.46.5020  0.331
1992 Birman JL. Many-body Green functions of q-deformed oscillators Physics Letters A. 167: 363-366. DOI: 10.1016/0375-9601(92)90272-N  0.311
1992 Birman JL. Collective excitations are q-deformed bosons Solid State Communications. 84: 259-262. DOI: 10.1016/0038-1098(92)90336-8  0.311
1992 Rashba EI, Birman JL. Exact result in the intraband 2-D magnetospectroscopy of semiconductors Solid State Communications. 84: 99-101. DOI: 10.1016/0038-1098(92)90303-Q  0.32
1992 Artoni M, Birman JL. Detection of optical squeezing and photon statistics in polaritons Optics Communications. 89: 324-334. DOI: 10.1016/0030-4018(92)90179-U  0.342
1991 Artoni M, Birman JL. Quantum-optical properties of polariton waves. Physical Review. B, Condensed Matter. 44: 3736-3756. PMID 10000001 DOI: 10.1103/Physrevb.44.3736  0.374
1990 Birman JL, Artoni M, Wang BS. SOME PROPERTIES OF FAMILIES OF EXCITONIC QUASIPARTICLES Annals of the New York Academy of Sciences. 581: 140-148. DOI: 10.1111/J.1749-6632.1990.Tb22709.X  0.343
1990 Birman JL, Artoni M, Wang BS. Physics of excitonic quasiparticles: beyond conventional polaritons Physics Reports. 194: 367-377. DOI: 10.1016/0370-1573(90)90036-2  0.328
1990 Bing Shen Wang, Birman JL. Proposed non-linear resonant brillouin scattering and reflection to detect phonoritons Solid State Communications. 75: 867-871. DOI: 10.1016/0038-1098(90)90400-6  0.325
1989 Artoni M, Birman JL. Polariton squeezing: Theory and proposed experiment Quantum Optics: Journal of the European Optical Society Part B. 1: 91-97. DOI: 10.1088/0954-8998/1/2/002  0.325
1987 Solomon AI, Birman JL. An SU(8) model for the unification of superconductivity, charge, and spin density waves Journal of Mathematical Physics. 28: 1526-1534. DOI: 10.1063/1.527816  0.308
1987 Dorsinville R, Szalkiewicz M, Tubino R, Birman JL, Alfano RR, Dellepiane G, Pedretti U. Photoexcitations and photoconductive response in highly oriented trans polyacetylene Synthetic Metals. 17: 509-514. DOI: 10.1016/0379-6779(87)90790-9  0.303
1985 Lei XL, Ting CS, Birman JL. Raman scattering of light from a charge-density-wave (CDW) phonon in an anisotropic CDW superconductor. Physical Review. B, Condensed Matter. 32: 1464-1471. PMID 9937190 DOI: 10.1103/Physrevb.32.1464  0.336
1985 Xiao-Lin L, Birman JL, Chin-Sen T. Theory of Raman Scattering from Charge Density-Wave Superconductors Communications in Theoretical Physics. 4: 803-826. DOI: 10.1088/0253-6102/4/6/803  0.329
1985 Lei XL, Birman JL, Ting CS. Gap excitation in Raman spectrum of an anisotropic charge-density-wave superconductor Physica B+C. 135: 486-490. DOI: 10.1016/0378-4363(85)90537-6  0.349
1985 Birman JL, Trebin HR. "Statistical" symmetry with applications to phase transitions Journal of Statistical Physics. 38: 371-391. DOI: 10.1007/Bf01017868  0.338
1984 Solomon AI, Birman JL. Dynamical group model of a spin density wave system Physics Letters A. 104: 235-238. DOI: 10.1016/0375-9601(84)90272-X  0.304
1984 Tubino R, Mulazzis E, Birman JL. Raman scattering in resonance with short- and long-lived vibronic states Journal of Raman Spectroscopy. 15: 141-146. DOI: 10.1002/Jrs.1250150302  0.333
1983 Puri A, Pattanayak DN, Birman JL. Resonance effects on total internal reflection and lateral (Goos-Hänchen) beam displacement at the interface between nonlocal and local dielectric Physical Review B. 28: 5877-5886. DOI: 10.1103/Physrevb.28.5877  0.302
1983 Puri A, Birman JL. Pulse propagation in spatially dispersive media Physical Review A. 27: 1044-1052. DOI: 10.1103/Physreva.27.1044  0.31
1982 Solomon AI, Birman JL. Dynamical group model of the CDW state Physics Letters A. 88: 413-416. DOI: 10.1016/0375-9601(82)90667-3  0.32
1982 Galam S, Birman JL. Generic symmetry breaking and the Landau expansion Physics Letters A. 93: 83-85. DOI: 10.1016/0375-9601(82)90222-5  0.304
1981 Pattanayak DN, Puri A, Birman JL. Phenomenological electrodynamics of bounded gyrotropic media near a dipole transition frequency Physical Review B. 24: 4279-4286. DOI: 10.1103/Physrevb.24.4279  0.316
1981 Pattanayak DN, Birman JL. Wave propagation in optically active and magnetoelectric media of arbitrary geometry Physical Review B. 24: 4271-4278. DOI: 10.1103/Physrevb.24.4271  0.306
1981 Lee T, Birman JL. A note on a quantum theory of surface enhanced Raman scattering Journal of Raman Spectroscopy. 10: 140-144. DOI: 10.1002/Jrs.1250100126  0.335
1980 Lee TK, Birman JL. Quantum theory of enhanced Raman scattering by molecules on metals: Surface-plasmon mechanism for plane metal surface Physical Review B. 22: 5961-5966. DOI: 10.1103/Physrevb.22.5961  0.342
1980 Lee TK, Birman JL. Molecule adsorbed on plane metal surface: Coupled system eigenstates Physical Review B. 22: 5953-5960. DOI: 10.1103/Physrevb.22.5953  0.311
1979 Birman JL. Recent developments in non-local optics Solid State Communications. 32: 25-28. DOI: 10.1007/978-1-4615-7350-0_14  0.338
1978 Lee TK, Birman JL. New three-dimensional kp model for the electronic structure of A-15 compounds and application to anomalous properties of V3Si and Nb3Sn in the cubic phase Physical Review B. 17: 4931-4941. DOI: 10.1103/Physrevb.17.4931  0.344
1977 Jarić MV, Birman JL. Group theory of phase transitions in A-15 Oh3-Pm 3n) structure Physical Review B. 16: 2564-2568. DOI: 10.1103/Physrevb.16.2564  0.313
1977 Mahler G, Birman JL. Theory of the electron-hole plasma in highly excited Si and Ge Physical Review B. 16: 1552-1563. DOI: 10.1103/Physrevb.16.1552  0.311
1977 Tubino R, Birman JL. Theory of two-phonon Raman spectrum of diamond Physical Review B. 15: 5843-5849. DOI: 10.1103/Physrevb.15.5843  0.344
1977 Frankel MJ, Birman JL. Transient optical response of a spatially dispersive medium Physical Review A. 15: 2000-2008. DOI: 10.1103/Physreva.15.2000  0.325
1977 Acyei AK, Birman JL. A new subgroup approach to the thermodynamic (landau) theory of continuous phase transitions in structurally complex crystalst Ferroelectrics. 16: 167-169. DOI: 10.1080/00150197708237147  0.312
1977 Agyei AK, Birman JL. Transition-Activek =O Representations and the Microscopic Description of Phase Transitions Physica Status Solidi B-Basic Solid State Physics. 80: 509-520. DOI: 10.1002/Pssb.2220800212  0.302
1976 Birman JL, Lee TK, Berenson R. Effective Hamiltonians and Clebsch-Gordan coefficients in crystals Physical Review B. 14: 318-321. DOI: 10.1103/Physrevb.14.318  0.309
1976 Frankel MJ, Birman JL. Electrodynamics of nonlocal bounded dielectrics Physical Review B. 13: 2587-2595. DOI: 10.1103/Physrevb.13.2587  0.307
1976 Bassani F, Parravicini GP, Ballinger RA, Birman JL. Electronic States and Optical Transitions in Solids Physics Today. 29: 58-59. DOI: 10.1063/1.3023374  0.306
1975 Tubino R, Birman JL. Two-phonon spectrum of diamond Physical Review Letters. 35: 670-672. DOI: 10.1103/Physrevlett.35.670  0.344
1975 Wu CH, Birman JL. Calculations on two phonon bound states in diamond and germanium Journal of Physics and Chemistry of Solids. 36: 305-308. DOI: 10.1016/0022-3697(75)90027-X  0.313
1974 Birman JL, Berenson R. Scattering tensors and clebsch-gordan coefficients in crystals Physical Review B. 9: 4512-4517. DOI: 10.1103/Physrevb.9.4512  0.301
1974 Zeyher R, Ting CS, Birman JL. Polariton theory of first-order Raman scattering in finite crystals for transparent and absorbing frequency regions Physical Review B. 10: 1725-1740. DOI: 10.1103/Physrevb.10.1725  0.377
1974 Bendow B, Ting CS, Birman JL. Theory of multiphonon absorption in the wings of internal vibrational modes of impurities in ionic crystals Solid State Communications. 15: 1395-1399. DOI: 10.1016/0038-1098(74)91388-X  0.316
1974 Wu CH, Birman JL. Theory of resonant Raman enhancement of a forbidden phonon in Cu2O Solid State Communications. 14: 465-467. DOI: 10.1016/0038-1098(74)90969-7  0.372
1973 Birman JL. Theory of multipole-dipole resonance Raman scattering by phonons Solid State Communications. 13: 1189-1193. DOI: 10.1016/0038-1098(73)90561-9  0.334
1972 Brenig W, Zeyher R, Birman JL. Spatial dispersion effects in resonant polariton scattering. II. Resonant Brillouin scattering Physical Review B. 6: 4617-4622. DOI: 10.1103/Physrevb.6.4617  0.306
1972 Birman JL, Sein JJ. Optics of polaritons in bounded media Physical Review B. 6: 2482-2490. DOI: 10.1103/Physrevb.6.2482  0.317
1971 Bendow B, Birman JL. Theory of resonant raman scattering in crystals: A generalized bare-exciton approach Physical Review B. 4: 569-583. DOI: 10.1103/Physrevb.4.569  0.361
1970 Klein BM, Birman JL. Theory of soft optic modes and phase transitions in β-W structure transition-metal alloys Physical Review Letters. 25: 1014-1016. DOI: 10.1103/Physrevlett.25.1014  0.648
1970 Bendow B, Birman JL. Polariton theory of resonance raman scattering in insulating crystals Physical Review B. 1: 1678-1686. DOI: 10.1103/Physrevb.2.3443.2  0.344
1970 Nusimovici MA, Balkanski M, Birman JL. Lattice dynamics of wurtzite: CdS. II Physical Review B. 1: 595-603. DOI: 10.1103/Physrevb.1.595  0.317
1970 Bendow B, Birman J, Ganguly A, Damen T, Leite R, Scott J. Resonant Raman stokes scattering by LO-phonons in CdS Optics Communications. 1: 267-270. DOI: 10.1016/0030-4018(70)90107-0  0.322
1968 Goldrich FE, Birman JL. Theory of symmetry change in second-order phase transitions in perovskite structure Physical Review. 167: 528-532. DOI: 10.1103/Physrev.167.528  0.314
1968 BIRMAN JL. THEORY OF THE PHASE TRANSITION IN IV-VI COMPOUNDS Le Journal De Physique Colloques. 29: C4-151-C4-157. DOI: 10.1051/Jphyscol:1968424  0.303
1967 Ganguly AK, Birman JL. Theory of lattice Raman scattering in insulators Physical Review. 162: 806-816. DOI: 10.1103/Physrev.162.806  0.364
1967 Nusimovici MA, Birman JL. Lattice dynamics of wurtzite: CdS Physical Review. 156: 925-938. DOI: 10.1103/Physrev.156.925  0.308
1966 Birman JL. Simplified theory of symmetry change in second-order phase transitions: Application to V3Si Physical Review Letters. 17: 1216-1219. DOI: 10.1103/Physrevlett.17.1216  0.305
1966 Birman JL, Lax M, Loudon R. Intervalley-scattering selection rules in III-V semiconductors Physical Review. 145: 620-622. DOI: 10.1103/Physrev.145.620  0.32
1965 Birman JL. The theory of Raman effect in crystals Journal De Physique. 26: 736-736. DOI: 10.1051/Jphys:019650026011073600  0.341
1965 Birman JL. Theory of depolarization of Raman scattering in crystals Journal De Physique. 26: 735-735. DOI: 10.1051/Jphys:019650026011073501  0.339
1963 Birman JL. Theory of infrared and Raman processes in crystals: Selection rules in diamond and zincblende Physical Review. 131: 1489-1496. DOI: 10.1103/Physrev.131.1489  0.344
1963 Birman JL. Space group theory and lattice dynamics Solid State Communications. 1: 200. DOI: 10.1016/0038-1098(63)90308-9  0.309
1959 Birman JL. Some Selection Rules for Band-Band Transitions in Wurtzite Structure Physical Review. 114: 1490-1492. DOI: 10.1103/Physrev.114.1490  0.31
1958 Shakin C, Birman J. Electronic Energy Bands in ZnS: Preliminary Results Physical Review. 109: 818-819. DOI: 10.1103/Physrev.109.818  0.3
1958 Birman JL. Electronic energy bands in ZnS: Potential in zincblende and wurtzite Physical Review. 109: 810-817. DOI: 10.1103/Physrev.109.810  0.304
1958 Birman JL. Calculation of coulomb crystal potentials Journal of Physics and Chemistry of Solids. 6: 65-68. DOI: 10.1016/0022-3697(58)90219-1  0.311
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