The Experts below are selected from a list of 60 Experts worldwide ranked by ideXlab platform
Fabio Martinelli - One of the best experts on this subject based on the ideXlab platform.
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Asymmetric Diffusion and the Energy Gap Above¶the 111 Ground State of the Quantum XXZ Model
Communications in Mathematical Physics, 2002Co-Authors: Pietro Caputo, Fabio MartinelliAbstract:We consider the anisotropic three dimensional XXZ Heisenberg ferromagnet in a cylinder with axis along the 111 direction and boundary conditions that induce Ground states describing an Interface orthogonal to the cylinder axis. Let L be the linear size of the basis of the cylinder. Because of the breaking of the continuous symmetry around the axis, the Goldstone theorem implies that the spectral gap above such Ground states must tend to zero as L →∞. In [3] it was proved that, by perturbing in a sub-cylinder with basis of linear size R ≪ L the Interface Ground state, it is possible to construct excited states whose energy gap shrinks as R ^-2. Here we prove that, uniformly in the height of the cylinder and in the location of the Interface, the energy gap above the Interface Ground state is bounded from above and below by const. L ^-2. We prove the result by first mapping the problem into an asymmetric simple exclusion process on ℤ^3 and then by adapting to the latter the recursive analysis to estimate from below the spectral gap of the associated Markov generator developed in [7]. Along the way we improve some bounds on the equivalence of ensembles already discussed in [3] and we establish an upper bound on the density of states close to the bottom of the spectrum.
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Asymmetric Diffusion and the Energy Gap Above the 111 Ground State of the Quantum XXZ Model
Communications in Mathematical Physics, 2002Co-Authors: Pietro Caputo, Fabio MartinelliAbstract:We consider the anisotropic three dimensional XXZ Heisenberg ferromagnet in a cylinder with axis along the 111 direction and boundary conditions that induce Ground states describing an Interface orthogonal to the cylinder axis. Let L be the linear size of the basis of the cylinder. Because of the breaking of the continuous symmetry around the \(\) axis, the Goldstone theorem implies that the spectral gap above such Ground states must tend to zero as L→∞. In [3] it was proved that, by perturbing in a sub-cylinder with basis of linear size R≪L the Interface Ground state, it is possible to construct excited states whose energy gap shrinks as R -2. Here we prove that, uniformly in the height of the cylinder and in the location of the Interface, the energy gap above the Interface Ground state is bounded from above and below by const.L -2. We prove the result by first mapping the problem into an asymmetric simple exclusion process on ℤ3 and then by adapting to the latter the recursive analysis to estimate from below the spectral gap of the associated Markov generator developed in [7]. Along the way we improve some bounds on the equivalence of ensembles already discussed in [3] and we establish an upper bound on the density of states close to the bottom of the spectrum.
J.-m. Triscone - One of the best experts on this subject based on the ideXlab platform.
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Electric field control of the LaAlO_3/SrTiO_3 Interface Ground state
Nature, 2008Co-Authors: A. D. Caviglia, S. Gariglio, N. Reyren, D. Jaccard, T. Schneider, M. Gabay, S. Thiel, G. Hammerl, J. Mannhart, J.-m. TrisconeAbstract:It has been a goal in applied physics to construct devices in which superconductivity can be switched on and off with an electric field. Recently, it was shown that the conducting Interface between LaAlO_3 and SrTiO_3 (both in bulk form are insulators) can produce a two-dimensional superconducting condensate. This paper now uses the electric field effect, which tunes the charge carrier density, to explore the phase diagram of the system. Interfaces between complex oxides are emerging as one of the most interesting systems in condensed matter physics^ 1 . In this special setting, in which translational symmetry is artificially broken, a variety of new and unusual electronic phases can be promoted^ 2 . Theoretical studies predict complex phase diagrams and suggest the key role of the charge carrier density in determining the systems’ Ground states. A particularly fascinating system is the conducting Interface between the band insulators LaAlO_3 and SrTiO_3 (ref. 3 ). Recently two possible Ground states have been experimentally identified: a magnetic state^ 4 and a two-dimensional superconducting condensate^ 5 . Here we use the electric field effect to explore the phase diagram of the system. The electrostatic tuning of the carrier density allows an on/off switching of superconductivity and drives a quantum phase transition^ 6 , 7 , 8 between a two-dimensional superconducting state and an insulating state. Analyses of the magnetotransport properties in the insulating state are consistent with weak localization and do not provide evidence for magnetism. The electric field control of superconductivity demonstrated here opens the way to the development of new mesoscopic superconducting circuits. It has been a long-standing goal in applied physics to construct devices in which superconductivity can be switched on and off with an electric field. In the past few years, a promising candidate has emerged; Interfaces between complex oxides, in which a variety of electronic phases can be obtained. It was recently shown that the conducting Interface between LaAlO_3 and SrTiO_3 (both in bulk form are insulators) can become superconducting. Caviglia et al . now use the electric field effect, which tunes the charge carrier density, to explore the phase diagram of the system. A remarkable feature is that superconductivity can be switched on and off, driving a quantum phase transition between a two-dimensional superconducting and insulating state.
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Electric field control of the LaAlO3/SrTiO3 Interface Ground state.
Nature, 2008Co-Authors: A. D. Caviglia, S. Gariglio, N. Reyren, D. Jaccard, T. Schneider, M. Gabay, S. Thiel, G. Hammerl, J. Mannhart, J.-m. TrisconeAbstract:Interfaces between complex oxides are emerging as one of the most interesting systems in condensed matter physics. In this special setting, in which translational symmetry is artificially broken, a variety of new and unusual electronic phases can be promoted. Theoretical studies predict complex phase diagrams and suggest the key role of the charge carrier density in determining the systems' Ground states. A particularly fascinating system is the conducting Interface between the band insulators LaAlO(3) and SrTiO(3) (ref. 3). Recently two possible Ground states have been experimentally identified: a magnetic state and a two-dimensional superconducting condensate. Here we use the electric field effect to explore the phase diagram of the system. The electrostatic tuning of the carrier density allows an on/off switching of superconductivity and drives a quantum phase transition between a two-dimensional superconducting state and an insulating state. Analyses of the magnetotransport properties in the insulating state are consistent with weak localization and do not provide evidence for magnetism. The electric field control of superconductivity demonstrated here opens the way to the development of new mesoscopic superconducting circuits.
Pietro Caputo - One of the best experts on this subject based on the ideXlab platform.
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Asymmetric Diffusion and the Energy Gap Above¶the 111 Ground State of the Quantum XXZ Model
Communications in Mathematical Physics, 2002Co-Authors: Pietro Caputo, Fabio MartinelliAbstract:We consider the anisotropic three dimensional XXZ Heisenberg ferromagnet in a cylinder with axis along the 111 direction and boundary conditions that induce Ground states describing an Interface orthogonal to the cylinder axis. Let L be the linear size of the basis of the cylinder. Because of the breaking of the continuous symmetry around the axis, the Goldstone theorem implies that the spectral gap above such Ground states must tend to zero as L →∞. In [3] it was proved that, by perturbing in a sub-cylinder with basis of linear size R ≪ L the Interface Ground state, it is possible to construct excited states whose energy gap shrinks as R ^-2. Here we prove that, uniformly in the height of the cylinder and in the location of the Interface, the energy gap above the Interface Ground state is bounded from above and below by const. L ^-2. We prove the result by first mapping the problem into an asymmetric simple exclusion process on ℤ^3 and then by adapting to the latter the recursive analysis to estimate from below the spectral gap of the associated Markov generator developed in [7]. Along the way we improve some bounds on the equivalence of ensembles already discussed in [3] and we establish an upper bound on the density of states close to the bottom of the spectrum.
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Asymmetric Diffusion and the Energy Gap Above the 111 Ground State of the Quantum XXZ Model
Communications in Mathematical Physics, 2002Co-Authors: Pietro Caputo, Fabio MartinelliAbstract:We consider the anisotropic three dimensional XXZ Heisenberg ferromagnet in a cylinder with axis along the 111 direction and boundary conditions that induce Ground states describing an Interface orthogonal to the cylinder axis. Let L be the linear size of the basis of the cylinder. Because of the breaking of the continuous symmetry around the \(\) axis, the Goldstone theorem implies that the spectral gap above such Ground states must tend to zero as L→∞. In [3] it was proved that, by perturbing in a sub-cylinder with basis of linear size R≪L the Interface Ground state, it is possible to construct excited states whose energy gap shrinks as R -2. Here we prove that, uniformly in the height of the cylinder and in the location of the Interface, the energy gap above the Interface Ground state is bounded from above and below by const.L -2. We prove the result by first mapping the problem into an asymmetric simple exclusion process on ℤ3 and then by adapting to the latter the recursive analysis to estimate from below the spectral gap of the associated Markov generator developed in [7]. Along the way we improve some bounds on the equivalence of ensembles already discussed in [3] and we establish an upper bound on the density of states close to the bottom of the spectrum.
A. D. Caviglia - One of the best experts on this subject based on the ideXlab platform.
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Electric field control of the LaAlO_3/SrTiO_3 Interface Ground state
Nature, 2008Co-Authors: A. D. Caviglia, S. Gariglio, N. Reyren, D. Jaccard, T. Schneider, M. Gabay, S. Thiel, G. Hammerl, J. Mannhart, J.-m. TrisconeAbstract:It has been a goal in applied physics to construct devices in which superconductivity can be switched on and off with an electric field. Recently, it was shown that the conducting Interface between LaAlO_3 and SrTiO_3 (both in bulk form are insulators) can produce a two-dimensional superconducting condensate. This paper now uses the electric field effect, which tunes the charge carrier density, to explore the phase diagram of the system. Interfaces between complex oxides are emerging as one of the most interesting systems in condensed matter physics^ 1 . In this special setting, in which translational symmetry is artificially broken, a variety of new and unusual electronic phases can be promoted^ 2 . Theoretical studies predict complex phase diagrams and suggest the key role of the charge carrier density in determining the systems’ Ground states. A particularly fascinating system is the conducting Interface between the band insulators LaAlO_3 and SrTiO_3 (ref. 3 ). Recently two possible Ground states have been experimentally identified: a magnetic state^ 4 and a two-dimensional superconducting condensate^ 5 . Here we use the electric field effect to explore the phase diagram of the system. The electrostatic tuning of the carrier density allows an on/off switching of superconductivity and drives a quantum phase transition^ 6 , 7 , 8 between a two-dimensional superconducting state and an insulating state. Analyses of the magnetotransport properties in the insulating state are consistent with weak localization and do not provide evidence for magnetism. The electric field control of superconductivity demonstrated here opens the way to the development of new mesoscopic superconducting circuits. It has been a long-standing goal in applied physics to construct devices in which superconductivity can be switched on and off with an electric field. In the past few years, a promising candidate has emerged; Interfaces between complex oxides, in which a variety of electronic phases can be obtained. It was recently shown that the conducting Interface between LaAlO_3 and SrTiO_3 (both in bulk form are insulators) can become superconducting. Caviglia et al . now use the electric field effect, which tunes the charge carrier density, to explore the phase diagram of the system. A remarkable feature is that superconductivity can be switched on and off, driving a quantum phase transition between a two-dimensional superconducting and insulating state.
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Electric field control of the LaAlO3/SrTiO3 Interface Ground state.
Nature, 2008Co-Authors: A. D. Caviglia, S. Gariglio, N. Reyren, D. Jaccard, T. Schneider, M. Gabay, S. Thiel, G. Hammerl, J. Mannhart, J.-m. TrisconeAbstract:Interfaces between complex oxides are emerging as one of the most interesting systems in condensed matter physics. In this special setting, in which translational symmetry is artificially broken, a variety of new and unusual electronic phases can be promoted. Theoretical studies predict complex phase diagrams and suggest the key role of the charge carrier density in determining the systems' Ground states. A particularly fascinating system is the conducting Interface between the band insulators LaAlO(3) and SrTiO(3) (ref. 3). Recently two possible Ground states have been experimentally identified: a magnetic state and a two-dimensional superconducting condensate. Here we use the electric field effect to explore the phase diagram of the system. The electrostatic tuning of the carrier density allows an on/off switching of superconductivity and drives a quantum phase transition between a two-dimensional superconducting state and an insulating state. Analyses of the magnetotransport properties in the insulating state are consistent with weak localization and do not provide evidence for magnetism. The electric field control of superconductivity demonstrated here opens the way to the development of new mesoscopic superconducting circuits.
M. Gabay - One of the best experts on this subject based on the ideXlab platform.
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Electric field control of the LaAlO_3/SrTiO_3 Interface Ground state
Nature, 2008Co-Authors: A. D. Caviglia, S. Gariglio, N. Reyren, D. Jaccard, T. Schneider, M. Gabay, S. Thiel, G. Hammerl, J. Mannhart, J.-m. TrisconeAbstract:It has been a goal in applied physics to construct devices in which superconductivity can be switched on and off with an electric field. Recently, it was shown that the conducting Interface between LaAlO_3 and SrTiO_3 (both in bulk form are insulators) can produce a two-dimensional superconducting condensate. This paper now uses the electric field effect, which tunes the charge carrier density, to explore the phase diagram of the system. Interfaces between complex oxides are emerging as one of the most interesting systems in condensed matter physics^ 1 . In this special setting, in which translational symmetry is artificially broken, a variety of new and unusual electronic phases can be promoted^ 2 . Theoretical studies predict complex phase diagrams and suggest the key role of the charge carrier density in determining the systems’ Ground states. A particularly fascinating system is the conducting Interface between the band insulators LaAlO_3 and SrTiO_3 (ref. 3 ). Recently two possible Ground states have been experimentally identified: a magnetic state^ 4 and a two-dimensional superconducting condensate^ 5 . Here we use the electric field effect to explore the phase diagram of the system. The electrostatic tuning of the carrier density allows an on/off switching of superconductivity and drives a quantum phase transition^ 6 , 7 , 8 between a two-dimensional superconducting state and an insulating state. Analyses of the magnetotransport properties in the insulating state are consistent with weak localization and do not provide evidence for magnetism. The electric field control of superconductivity demonstrated here opens the way to the development of new mesoscopic superconducting circuits. It has been a long-standing goal in applied physics to construct devices in which superconductivity can be switched on and off with an electric field. In the past few years, a promising candidate has emerged; Interfaces between complex oxides, in which a variety of electronic phases can be obtained. It was recently shown that the conducting Interface between LaAlO_3 and SrTiO_3 (both in bulk form are insulators) can become superconducting. Caviglia et al . now use the electric field effect, which tunes the charge carrier density, to explore the phase diagram of the system. A remarkable feature is that superconductivity can be switched on and off, driving a quantum phase transition between a two-dimensional superconducting and insulating state.
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Electric field control of the LaAlO3/SrTiO3 Interface Ground state.
Nature, 2008Co-Authors: A. D. Caviglia, S. Gariglio, N. Reyren, D. Jaccard, T. Schneider, M. Gabay, S. Thiel, G. Hammerl, J. Mannhart, J.-m. TrisconeAbstract:Interfaces between complex oxides are emerging as one of the most interesting systems in condensed matter physics. In this special setting, in which translational symmetry is artificially broken, a variety of new and unusual electronic phases can be promoted. Theoretical studies predict complex phase diagrams and suggest the key role of the charge carrier density in determining the systems' Ground states. A particularly fascinating system is the conducting Interface between the band insulators LaAlO(3) and SrTiO(3) (ref. 3). Recently two possible Ground states have been experimentally identified: a magnetic state and a two-dimensional superconducting condensate. Here we use the electric field effect to explore the phase diagram of the system. The electrostatic tuning of the carrier density allows an on/off switching of superconductivity and drives a quantum phase transition between a two-dimensional superconducting state and an insulating state. Analyses of the magnetotransport properties in the insulating state are consistent with weak localization and do not provide evidence for magnetism. The electric field control of superconductivity demonstrated here opens the way to the development of new mesoscopic superconducting circuits.