Quantum wires

The behavior of electrons in a solid-state environment is often qualitatively modified from their vacuum properties due to Coulomb interaction. The low energy properties of such interacting systems are described in terms of dressed elementary excitations known as quasi-particles which interact only weakly among themselves. In two and three-dimensional disordered metals quasi-particles bear a strong resemblance to free electrons. They each carry a charge e and spin half and most importantly, their excitation spectrum, which for non-interacting electrons is simply determined by the underlying band mass m, is only slightly modified by the Coulomb interaction. However, the underlying quasi-particles in a one-dimensional metal, know as a Luttinger-liquid, are utterly different from free electrons. Here, for example, the spin and charge degrees of freedom completely decouple and can be separately excited. Using momentum and energy resolved tunneling between two closely situated parallel wires we have measured the collective excitation spectrum of electrons confined to one-dimension. At high electron densities, spin-charge separation is clearly observed. At low electron densities the system abruptly looses translation invariance and becomes localized. Our measurements indicate that the localization length corresponds to the inter-electron spacing.

Quantum wires publications

G. Barak, H. Steinberg, L. N. Pheiffer, K. W. West, L. Glazman, F. von Oppen, A. Yacoby, "Interacting electrons in one dimension beyond the Littinger-liquid limit", Nature Physics 6, 489-493 (2010)

H. Steinberg, G. Barak, A. Yacoby, L. N. Pheiffer, K. W. West, B. I. Halperin, K. L. Hur, "Charge fractionalization in quantum wires", Nature Physics 4, 116-119 (2008).

H. Steinberg, O. Auslaender, A. Yacoby, J. Qian, G. A. Fiete, Y. Tserkovnyak, B. I. Halperin, K. W. Baldwin, L. N. Pfeiffer, and K. W. West, "Localization transition in a ballistic quantum wire", Phys. Rev. Lett. 97, 056801 (2006).

O. Auslaender, H. Steinberg, A. Yacoby, Y. Tserkovnyak, B. I. Halperin, K. W. Baldwin, L. N. Pfeiffer, and K. W. West, "Spin-Charge Separation and Localization in One-Dimension", Science 308, 88 (2005).

A. C. Johnson, J. R. Petta, J. M. Taylor, A. Yacoby, M. D. Lukin, C. M. Marcus, M. P. Hanson, A. C. Gossard, "Triplet-singlet spin relaxation via nuclei in a double quantum dot", Nature 435, 925 (2005).

O. Auslaender, H. Steinberg, A. Yacoby, Y. Tserkovnyak, B. I. Halperin, R. de Picciotto, K. W. Baldwin, L. N. Pfeiffer, and K. W. West, "Many-body dispersions in interacting ballistic quantum wires", condmat/0405352.

Y. Tserkovnyak, B. I. Halperin, O. Auslaender, A. Yacoby, "Signatures of spin-charge separation in double-quantum-wire tunneling", condmat/0312159.

Y. Tserkovnyak, B. I. Halperin, O. M. Auslaender, and A. Yacoby, "Interference and zero-bias anomaly in tunneling between Luttinger-liquid wires", Phys. Rev. B. 68, 125312 (2003).

Y. Tserkovnyak, B. I. Halperin, O. M. Auslaender, and A. Yacoby, "Finite-Size Effects in Tunneling Between Parallel Quantum Wires", Phys. Rev. Lett. 89, 136805 (2002).

O. Auslaender, A. Yacoby, R. de Picciotto, K. W. Baldwin, L. N. Pfeiffer, and K. W. West, "Tunneling Spectroscopy of the Elementary Excitations in a One-Dimensional Wire", Science 295, 825-828 (2002).

T. Kleimann, M. Sassetti, B. Kramer, A. Yacoby, "Charge and spin addition energies of a one-dimensional quantum dot", Phys. Rev. B 62, 8144-8153 (2000).

R. de Picciotto, H. L. Stormer, A. Yacoby, L, N. Pfeiffer, K. W. Baldwin, K. W. West, "2D-1D Coupling in Cleaved Edge Overgrowth", Phys. Rev. Lett. 85, 1730-1733 (2000).

O. Auslaender, A. Yacoby, R. de Picciotto, K. W. Baldwin, L. N. Pfeiffer, and K. W. West, "Experimental Evidence for Resonant Tunneling in a Luttinger Liquid", Phys. Rev. Lett. 84, 1764-1767 (2000).

A. Yacoby, H. L. Stormer, K. W. Baldwin, L. N. Pfeiffer, and K. W. West, "Magneto-Transport Spectroscopy on a Quantum Wire", Solid State Communications 101, 77-81 (1997).

A. Yacoby, H. L. Stormer, N. S. Wingreen, K. W. Baldwin, L. N. Pfeiffer, and K. W. West, "Non Universal Conductance Quantization in Quantum Wires", Phys. Rev. Lett. 77, 4612-4615 (1996).