Compuscripts
Publications
- Universal High Temperature Saturation In Phonon And Electron Transport, A. Auerbach and P.B. Allen, Phys. Rev. B29, 2884-2890, (1984).
- Path Decomposition Expansion for Multidimensional Tunneling, A. Auerbach, S. Kivelson and D. Nicole, Phys. Rev. Lett. 53, 411-414, (1984).
- Sound Attenuation in Metals: Reformulation of Pippard Theory to Include Microscopic Band Structure and Scattering, F.S. Khan, A. Auerbach and P.B. Allen, Sol. Stat. Comm. 54, 135-137, (1985).
- The Path Decomposition Expansion and Multidimensional Tunneling, A. Auerbach and S. Kivelson, Nucl. Phys. B257, [FS14], 799-858, (1985).
- Large-Amplitude Quantum Fluctuations and Sub Gap Optical Absorption in Trans-polyacetylene, A. Auerbach and S. Kivelson, Phys. Rev. B33, 8171-8179, (1986).
- An Analysis of Transverse Fluctuations in Multidimensional Tunneling, Pierre van-Baal and A. Auerbach, Nucl. Phys. B275, [FS17], 93-120, (1986).
- The Effect Of Finite Resolution on the Determination of Diffusion Coefficients by the Field Emission Fluctuation Method, R. Gomer and A. Auerbach, Surf. Science, 167, 493-501, (1986).
- Kondo Bosons and the Kondo Lattice: Microscopic Basis for the Heavy Fermi Liquid, A. Auerbach and K. Levin, Phys. Rev. Lett. 57, 877-880, (1986).
- Experimental Evidence for Predicted Universal Behavior in Low-Temperature Kondo Lattices, A. Auerbach and K. Levin, Phys. Rev. B34, 3524-3527, (1986).
- Tunneling in Surface Diffusion, A. Auerbach, K.F. Freed and R. Gomer, 19th Jerusalem Symposium, Editors: J. Jortner and B. Pullman (Riedel), 281-295, (1986).
- The Anderson Lattice and Universal Properties of Heavy Fermion Systems, A. Auerbach and K. Levin, Cond. Matt. Theories, Vol. 2, Ed.s Vashishta, Kalia and Bishop, Plenum NY, 345-356, (1987).
- The Anderson Lattice and Universal Properties of Heavy Fermion Systems, A. Auerbach and K. Levin, ”Valence Fluctuations and Heavy Fermions”, Ed.s Gupta and Malik, Plenum NY, 495-499, (1987).
- Universal Low Temperature Properties of Heavy Fermion Systems, A. Auerbach and K. Levin, (Invited), 31st Ann. Conf. Magnetism and Magnetic Materials, J. Appl. Phys. 61, 3162-3167, (1987).
- Anomalous Isotope Dependence of Hydrogen Diffusion Rates on Tungsten (110) Surfaces: Implication For Lattice-Hydrogen Interactions, A. Auerbach, K.F. Freed and R. Gomer, J. Chem. Phys. 86, 2356-2361, (1986).
- Extended Heisenberg Models of Antiferromagnetism: Analogies to the Fractional Quantum Hall Effect, D.P. Arovas, A. Auerbach and F.D.M. Haldane, Phys. Rev. Lett. 60, 531-534, (1988).
- Theory of the Coherent Heavy Fermion State:Universal Behavior, Pressure Dependence and Neutron Scattering Cross Section, A. Auerbach and K. Levin, Jap. Jour. Appl. Phys. 26, 457-458, (1987).
- Theory of Antiferromagnetic Correlations And Neutron Scattering Cross Section in Heavy Fermion Metals, A. Auerbach, Ju.H. Kim, K. Levin and M.R. Norman, Phys. Rev. Lett. 60, 623-626, (1988).
- The Kondo Boson Theory of the Dynamic Susceptibility of Heavy Fermions, A. Auerbach, Ju.H. Kim and K. Levin, Physica 148B, 50-53, (1987).
- Functional Integral Theories of Low – Dimensional Quantum Heisenberg Models, D.P. Arovas and A. Auerbach, Phys. Rev. B38, 316-332, (1988).
- Spin Dynamics in the Square-Lattice Antiferromagnet, A. Auerbach and D.P. Arovas, Phys. Rev. Lett. 61, 617-620, (1988).
- Assessment of Fermi-Liquid Description for the Normal State of High-Tc Superconductors, Ju H. Kim, K. Levin and A. Auerbach, Phys. Rev. B39, 11633-11647, (1989).
- Electron-Phonon Interactions in the Copper Oxides: Implications for the Resistivity, Ju.H. Kim, K. Levin, R. Wentzcovich, and A. Auerbach, Phys. Rev. B40, 11378-11385, (1989).
- “Electron-Phonon Interactions in Copper-Oxides”, Ju.H.Kim, K.Levin, R.Wentzcovitch, and A.Auerbach, Physica C162-164, 1463-1464, (1989).
- New Approaches to the Quantum Heisenberg Model: Schwinger Boson Representations (Invited), A. Auerbach and D. P. Arovas, Jour. Appl. Phys. 67, 5734-5739, (1990).
- Relation Between Persistent Currents and the Scattering Matrix, E. Akkermans, A. Auerbach, J.E. Avron and B. Shapiro, Phys. Rev. Lett. 66, 76-79,(1991).
- Doped Antiferromagnets: The Instability of Homogeneous Magnetic Phases, A. Auerbach and B.E. Larson, Phys. Rev. B43, 7800-7809, (1991).
- Small-Polaron Theory of Doped Antiferromagnets, A. Auerbach and B.E. Larson, Phys. Rev. Lett. 66, 2262-2265 (1991).
- “Holes in the Quantum Antiferromagnet: The Theory of Small Polarons”, A. Auerbach and B.E. Larson, “High Temperature Superconductivity”, Ed. J. Ashkenazi, Plenum 1992, 53-59.
- Landau – Level Spin Waves and Skyrmion Energy in the Two-Dimensional Heisenberg Antiferromagnet, A. Auerbach, B.E. Larson and G. N. Murthy, Phys. Rev. B43, 11515-11518, (1991).
- Electron Phonon Interactions in High Temperature Superconductors, Ju.H. Kim, K. Levin, R. Wentzcovitch, A. Auerbach, Phys.Rev. B44, 5148-5165, (1991).
- Néel Transition and Sublattice Magnetization of Pure and Doped La2CuO4, B. Keimer, A. Aharony, A. Auerbach, R.J. Birgeneau, A.Cassanho, Y. Endoh, R.W. Erwin, M.A. Kastner and G. Shirane, Phys. Rev. B45, 7430-7435, (1992).
- Interactions and Pair Binding on Spherical Molecules, A.Auerbach and G.N.Murthy, Europhys. Letters. 19, 103-108, (1992).
- C60: Interacting Electrons on a Spherical Molecule, G.N. Murthy and A. Auerbach, Phys. Rev. B46, 331-341, (1992).
- Multicritical Phase Diagram and Random Field Effects in Superconducting Bismuthates, A. Aharony and A. Auerbach, Phys. Rev. Lett. 70, 1874-1877, (1993).
- 1/ N Expansion and Spin Correlations in Constrained Wave Functions, M. Raykin and A. Auerbach, Phys. Rev. B47, 5118-5132, (1993).
- Spin Tunneling, Berry Phases and Doped Antiferromagnets, A. Auerbach, Phys. Rev. B48, 3287-3289, (1993).
- 1/ N Expansion and Long Range Anitiferromagnetic Order, M. Raykin and A. Auerbach, Phys. Rev. Lett. 70, 3808-3811, (1993).
- Vibrations and Berry Phases of Charged Buckminsterfullerene, A. Auerbach, Phys. Rev. Lett. 72, 2931-1934, (1994).
- Electron–Vibron Interactions in Charged Fullerenes. I.Berry phases, A. Auerbach, N. Manini, and E. Tosatti, Phys. Rev. B49, 12998-13007, (1994).
- Electron–Vibron Interactions in Charged Fullerenes. II. Pair Energies and Spectra, N. Manini, E. Tosatti, and A. Auerbach, Phys. Rev. B49, 13008-13016, (1994).
- Enhancement of Persistent Currents by Hubbard Interactions in Disordered 1D Rings: Avoided Level Crossings Interpretations, M. Kamal, Z.H. Musslimani, and A. Auerbach, J. Phys. I France, 5, 1487-1499, (1995).
- Tetrahis(dimethylamino)ethylene-C60: Multicomponent Superexchange and Mott Ferromagnetism, D.P. Arovas and A. Auerbach, Phys. Rev. B52, 10114-10121, (1995).
- Mesoscopic Fluctuations in the Ground State Energy of Disordered Quantum Dots, U. Sivan, R. Berkovits, Y. Aloni, O. Prus, A. Auerbach and G. Ben-Yoseph, Phys. Rev. Lett. 77, 1123-1126, (1996).
- Even-Odd Correlations in Capacitance Fluctuations of Quantum dots, O. Prus, A. Auerbach, Y. Aloni, U. Sivan, and R. Berkovits, Phys. Rev. B54, R14289-14292, (1996).
- Superfluids and Supersolids on Frustrated Two-Dimensional Lattices, G. Murthy, D. Arovas, A. Auerbach, Phys. Rev. B55, 3104-3121, (1997).
- Quantized Hall Insulator: Transverse and Longitudinal Transport, E. Shimshoni and A. Auerbach, Phys. Rev. B55, 9817-9823, (1997).
- A Path Decomposition Expansion Proof for the Method of Images, A. Auerbach and L. S. Schulman, J. Phys. A30, 5993-5995, (1997).
- Comparison of Tunneling Rates of Fractional Charges and Electrons Across a Quantum Hall Strip, A. Auerbach, Phys. Rev. Lett. 80, 817-820, (1998).
- Transport Through Quantum Melts, E. Shimshoni, A. Auerbach and A. Kapitulnik, Phys. Rev. Lett. 80, 3352-3355, (1998).
- Haldane Gap and Fractional Oscillations in Gated Josephson Arrays, E. Altman and A. Auerbach, Phys. Rev. Lett. 81, 4484-4487, (1998).
- Hall Resistivity and Dephasing in the Quantum Hall Insulator, L. Pryadko and A. Auerbach, Phys. Rev. Lett. 82, 1253-1256, (1999).
- Superconductivity and Quantum Spin Disorder in Cuprates, M. Havilio and A. Auerbach, Phys. Rev. Lett. 83, 4848-1851, (1999).
- Projected SO(5) Models, S-C. Zhang, J-P. Hu, E. Arrigoni, W. Hanke and A. Auerbach, Phys. Rev. B60, 13070-13084, (1999).
- Spontaneous Macroscopic Magnetization at the Superconducting Transition Temperature of YBa2Cu3O7-d, R. Carmi, E. Polturak, G. Koren and A. Auerbach, Nature, v.404, 853-855, (2000).
- Coulomb Interactions and Delocalization in Quantum Hall Constrictions, L.P. Pryadko, E. Shimshoni and A. Auerbach, Phys. Rev. B61, 10929-10940, (2000).
- Correlations in doped Antiferromagnets, M. Havilio and A. Auerbach, Phys. Rev. B62, 324-336, (2000).
- Andreev Peaks and Massive Magnons in Cuprate Superconductor Normal Superconductor Junctions, A. Auerbach and E. Altman, Phys. Rev. Lett. 85, 3480-3483, (2000).
- Projected SO(5) Theory for Cuprates and Its Applications, A. Auerbach and E. Altman, International Journal of Modern Physics B, Vol. 15, Nos. 19&20, 2509-2518, (2001).
- Plaquette Boson-Fermion Model of Cuprates, E. Altman and A. Auerbach, Phys. Rev. B65, 104508-15, (2002).
- Luttinger Liquid Behavior in Tunneling Through a Quantum Dot at Zero Magnetic Field, P. Rojt, Y. Meir and A. Auerbach, Phys. Rev. Lett. 89, 256401-256403 (2002).
- Oscillating Superfluidity of Bosons in Optical Lattices, E.Altman and A.Auerbach, Phys. Rev. Lett. 89, 250404 -250407, (2002).
- Singlet Excitations in Pyrochlore: A Study of Quantum Frustration, E.Berg, E.Altman and A.Auerbach, Phys. Rev. Lett. 90, 147204-147207, (2003).
- Low-Energy Singlets in the Heisenberg Antiferromagnet on the Kagome Lattice, R.Budnik and A.Auerbach, Phys. Rev. Lett. 93, 187205-4, (2004).
- Steady States of a Microwave Irradiaated Quantum Hall Gas, A. Auerbach, I. Finkler, B. I. Halperin and A. Yacoby, Phys. Rev. Lett. 94, 196801-196806, (2005).
- Quantum tunneling of vortices in two-dimensional condensates, Assa Auerbach, Daniel P. Arovas and Sankalpa Ghosh, Phys. Rev. B74, 64511, (2006).
- Magnetic analog of the isotope effect in cuprates, Rinat Ofer, Galina Bazalitsky, Amit Kanigel, Amit Keren, Assa Auerbach, James S. Lord, and Alex Amato, Phys. Rev. B74, 220508(R), (2006).
- Quantum vortex tunneling in YBa2Cu3O7-dthin films, G. Koren, Y. Mor, A. Auerbach, and E. Polturak, Phys. Rev. B76, 134516-5, (2007).
- Nonlinear current of strongly irradiated quantum Hall gas, Assa Auerbach and G. Venketeswara Pai, Phys. Rev. B76, 205318-11, (2007).
- Quantum tunneling of vortices in two-dimensional superfluids, Daniel P. Arovas and Assa Auerbach, Phys. Rev. B78, 094508-5, (2008).
- Testing for Majorana Zero Modes in a px+ipy Superconductor at High Temperature by Tunneling Spectroscopy,Yaacov E. Kraus, Assa Auerbach, H. A. Fertig, and Steven H. Simon, Phys. Rev. Lett. 101, 267002-4, (2008).
- Vortex Quantum Dynamics of Two Dimensional Lattice Bosons, Netanel H. Lindner Assa Auerbach and Daniel P. Arovas, Phys. Rev. Lett. 101, 070403-4, (2009).
- Majorana fermions of a two-dimensional px+ipy superconductor, Yaacov E. Kraus, Assa Auerbach, H. A. Fertig, and Steven H. Simon, Phys. Rev. B79, 134515-15, (2009).
- Temperature dependence of the order parameter of cuprate superconductors, Alexander Mihlin and Assa Auerbach, Phys. Rev. B80, 134521-8, (2009).
- Conductivity of hard core bosons: A paradigm of a bad metal, Netanel H. Lindner and Assa Auerbach, Phys. Rev. B81, 054512-14, (2010).
- Vortex dynamics and Hall conductivity of hard-core bosons, Netanel Lindner, Assa Auerbach, and Daniel P. Arovas, Phys. Rev. B82, 134510-14, (2010).
- Floquet Spectrum and Transport through an Irradiated Graphene Ribbon, Zhenghao Gu, H. A. Fertig, Daniel P. Arovas, and Assa Auerbach, Phys. Rev. Lett. 107, 216601-5, (2011).
- Visibility of the amplitude (Higgs) mode in condensed matter, Daniel Podolsky, Assa Auerbach, and Daniel P. Arovas, Phys. Rev. B84, 174522-17, (2011).
- Reducing memory cost of exact diagonalization using singular value decomposition, Marvin Weinstein, Assa Auerbach, and V. Ravi Chandra, Phys. Rev. E84, 056701-6, (2011).
- p6 – Chiral Resonating Valence Bonds in the Kagome Antiferromagnet, Sylvain Capponi, V. Ravi Chandra, Assa Auerbach, and Marvin Weinstein, Phys. Rev. B 87, 161118(R), (2013).
- Fate of the Higgs mode near quantum criticality, Snir Gazit, Daniel Podolsky, and Assa Auerbach, Phys. Rev. Lett. 110, 140401, (2013).
- Dynamics and conductivity near quantum criticality, Snir Gazit, Daniel Podolsky, Assa Auerbach, and Daniel P. Arovas, Phys. Rev. B 88, 235108, (2013).
- Critical Capacitance and Charge-Vortex Duality Near the Superfluid-to-Insulator Transition, Snir Gazit, Daniel Podolsky, and Assa Auerbach, Phys. Rev. Lett. 113, 240601 (2014).
- The Higgs mode in disordered superconductors close to a quantum phase transition, Daniel Sherman, Uwe S. Pracht2, Boris Gorshunov, Shachaf Poran, John Jesudasan, Madhavi Chand5, Pratap Raychaudhuri, Mason Swanson, Nandini Trivedi, Assa Auerbach, Marc Scheer, Aviad Frydman and Martin Dressel, Nature Physics (2015).
News and Views, Superconductivity, Higgs, Anderson and all that, P.W. Anderson, Nature Physics (2015). - Spin transport of weakly disordered Heisenberg chain at infinite temperature, Ilia Khait, Snir Gazit, Norman Y. Yao, and Assa Auerbach, Phys. Rev. B 93, 224205, (2016).
- Collective Modes in a Quantum Solid, Snir Gazit, Daniel Podolsky, Heloise Nonne, Assa Auerbach, and Daniel P. Arovas, Phys. Rev. Lett. 117, 085302-5, (2016).
- Quantum criticality at the superconductor-insulator transition revealed by specific heat measurements, S. Poran, T. Nguyen-Duc, A. Auerbach, N. Dupuis, A. Frydman & Olivier Bourgeois, Nature Communications 8, 14464, (2017).
- Nonlinear Conductivity and Collective Charge Excitations in the Lowest Landau Level, A. Auerbach and D. P. Arovas, Phys. Rev. Lett. 119, 016601 (2017).
- Doped Kondo chain, a heavy Luttinger liquid, I. Khait, P. Azaria, C. Hubig, U. Schollwöck, and A. Auerbach, Proceedings of the National Academy of Sciences Apr 2018, 201719374.
- Hall Number of Strongly Correlated Metals, A. Auerbach, Phys. Rev. Lett. 121, 066601 (2018).
- Equilibrium formulae for transverse magnetotransport of strongly correlated metals, A. Auerbach, Phys. Rev. B 99, 115115 (2019).
- Hall anomaly and moving vortex charge in layered superconductors, A. Auerbach, D. P. Arovas, SciPost Phys. 8, 061 (2020).
- Hall Coefficient of Semimetals, A. Samanta, D. P. Arovas, and A. Auerbach, Phys. Rev. Lett. 126, 076603 (2021).
- Degeneracy-Projected Polarization Formulas for Hall-Type Conductivities, N. Bashan and A. Auerbach, Phys. Rev. Lett. 128, 036601 (2022).
- Hall anomalies of the doped Mott insulator, I. Khait, S. Bhattacharyya, A. Samanta, and A. Auerbach, npj Quantum Mater. 8, 75 (2023).
- Metallic transport of hard-core bosons, Sauri Bhattacharyya, Ayush De, Snir Gazit, and Assa Auerbach, Phys. Rev. B 109, 035117 (2024).
- The two critical temperatures conundrum in La1.83 Sr0.17 CuO4. Abhisek Samanta, Itay Mangel, Amit Keren, Daniel P. Arovas, and Assa Auerbach. SciPost Phys. 16, 148 (2024).
Review Articles, Chapters in Books
- Schwinger Boson Mean Field Theory of the Quantum Heisenberg Model, A. Auerbach and D.P. Arovas, in “Field Theories In Condensed Matter Physics”, Ed. Z. Tesanovich, Addison-Wesley (1990) , 1-25.
- A. Auerbach, “The Semiclassical Expansion of the t- J model” , Proc. of 1991 Jerusalem Winter School.
- A. Auerbach, “Electronic properties of buckminsterfullerenes: Degeneracies and surprises” , Fullerene Science and Technology, 6, (1) , 1-29 (1998) .
- A. Auerbach, F. Berruto and L. Capriotti, “Quantum Magnetism Approaches to Strongly Correlated Electron Systems” , Ch. 5 in “Low -dimensional Quantum Field Theories for Condensed Matter Systems -Spin Systems and Strongly Correlated Electrons”, Eds. G. Morandi, P. Sodano, A. Tagliacozzo, V. Tognetti, Springer series in solid-state sciences, Vol. 131 , Springer-Verlag (2000).
- Quantum transport theory of strongly correlated matter, Assa Auerbach and Sauri Bhattacharyya, Physics Reports 1091 , 1-63 (2024).
Single Author Book
- A. Auerbach, “Interacting Electrons and Quantum Magnetism” , (Springer-Verlag, N.Y.) . 255 pages.
A graduate textbook on the theory of strongly correlated electron systems; includes exercises, bibliography ,and mathematical appendices.
First printing October 1994, (1600 copies) sold out.
Second printing: August 1998. 5