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Title: Electronic Structure of the Cuprate Superconducting and Pseudogap Phases from Spectroscopic Imaging STM

Abstract

We survey the use of spectroscopic imaging scanning tunneling microscopy (SI-STM) to probe the electronic structure of underdoped cuprates. Two distinct classes of electronic states are observed in both the d-wave superconducting (dSC) and the pseudogap (PG) phases. The first class consists of the dispersive Bogoliubov quasiparticle excitations of a homogeneous d-wave superconductor, existing below a lower energy scale E = {Delta}{sub 0}. We find that the Bogoliubov quasiparticle interference (QPI) signatures of delocalized Cooper pairing are restricted to a k-space arc, which terminates near the lines connecting k = {+-}({pi}/a{sub 0},0) to k = {+-}(0,{pi}/a{sub 0}). This arc shrinks continuously with decreasing hole density such that Luttinger's theorem could be satisfied if it represents the front side of a hole-pocket that is bounded behind by the lines between k = {+-}({pi}/a{sub 0},0) and k = {+-}(0,{pi}/a{sub 0}). In both phases, the only broken symmetries detected for the |E| < {Delta}{sub 0} states are those of a d-wave superconductor. The second class of states occurs proximate to the PG energy scale E = {Delta}{sub 1}. Here the non-dispersive electronic structure breaks the expected 90{sup o}-rotational symmetry of electronic structure within each unit cell, at least down to 180{sup o}-rotational symmetry.more » This electronic symmetry breaking was first detected as an electronic inequivalence at the two oxygen sites within each unit cell by using a measure of nematic (C{sub 2}) symmetry. Incommensurate non-dispersive conductance modulations, locally breaking both rotational and translational symmetries, coexist with this intra-unit-cell electronic symmetry breaking at E = {Delta}{sub 1}. Their characteristic wavevector Q is determined by the k-space points where Bogoliubov QPI terminates and therefore changes continuously with doping. The distinct broken electronic symmetry states (intra-unit-cell and finite Q) coexisting at E {approx} {Delta}{sub 1} are found to be indistinguishable in the dSC and PG phases. The next challenge for SI-STM studies is to determine the relationship of the E {approx} {Delta}{sub 1} broken symmetry electronic states with the PG phase, and with the E < {Delta}{sub 0} states associated with Cooper pairing.« less

Authors:
; ; ; ; ; ; ;
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
DOE - OFFICE OF SCIENCE
OSTI Identifier:
1033198
Report Number(s):
BNL-96300-2011-JA
R&D Project: PM-007; KC0202020; TRN: US1200298
DOE Contract Number:  
DE-AC02-98CH10886
Resource Type:
Journal Article
Journal Name:
New Journal of Physics
Additional Journal Information:
Journal Volume: 13
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; CUPRATES; ELECTRONIC STRUCTURE; OXYGEN; PROBES; SCANNING TUNNELING MICROSCOPY; SYMMETRY; SYMMETRY BREAKING

Citation Formats

Davis, J C, Schmidt, A R, Fujita, K, Kim, E -A, Lawler, M J, Eisaki, H, Uchida, S, and Lee, D -H. Electronic Structure of the Cuprate Superconducting and Pseudogap Phases from Spectroscopic Imaging STM. United States: N. p., 2011. Web.
Davis, J C, Schmidt, A R, Fujita, K, Kim, E -A, Lawler, M J, Eisaki, H, Uchida, S, & Lee, D -H. Electronic Structure of the Cuprate Superconducting and Pseudogap Phases from Spectroscopic Imaging STM. United States.
Davis, J C, Schmidt, A R, Fujita, K, Kim, E -A, Lawler, M J, Eisaki, H, Uchida, S, and Lee, D -H. Tue . "Electronic Structure of the Cuprate Superconducting and Pseudogap Phases from Spectroscopic Imaging STM". United States.
@article{osti_1033198,
title = {Electronic Structure of the Cuprate Superconducting and Pseudogap Phases from Spectroscopic Imaging STM},
author = {Davis, J C and Schmidt, A R and Fujita, K and Kim, E -A and Lawler, M J and Eisaki, H and Uchida, S and Lee, D -H},
abstractNote = {We survey the use of spectroscopic imaging scanning tunneling microscopy (SI-STM) to probe the electronic structure of underdoped cuprates. Two distinct classes of electronic states are observed in both the d-wave superconducting (dSC) and the pseudogap (PG) phases. The first class consists of the dispersive Bogoliubov quasiparticle excitations of a homogeneous d-wave superconductor, existing below a lower energy scale E = {Delta}{sub 0}. We find that the Bogoliubov quasiparticle interference (QPI) signatures of delocalized Cooper pairing are restricted to a k-space arc, which terminates near the lines connecting k = {+-}({pi}/a{sub 0},0) to k = {+-}(0,{pi}/a{sub 0}). This arc shrinks continuously with decreasing hole density such that Luttinger's theorem could be satisfied if it represents the front side of a hole-pocket that is bounded behind by the lines between k = {+-}({pi}/a{sub 0},0) and k = {+-}(0,{pi}/a{sub 0}). In both phases, the only broken symmetries detected for the |E| < {Delta}{sub 0} states are those of a d-wave superconductor. The second class of states occurs proximate to the PG energy scale E = {Delta}{sub 1}. Here the non-dispersive electronic structure breaks the expected 90{sup o}-rotational symmetry of electronic structure within each unit cell, at least down to 180{sup o}-rotational symmetry. This electronic symmetry breaking was first detected as an electronic inequivalence at the two oxygen sites within each unit cell by using a measure of nematic (C{sub 2}) symmetry. Incommensurate non-dispersive conductance modulations, locally breaking both rotational and translational symmetries, coexist with this intra-unit-cell electronic symmetry breaking at E = {Delta}{sub 1}. Their characteristic wavevector Q is determined by the k-space points where Bogoliubov QPI terminates and therefore changes continuously with doping. The distinct broken electronic symmetry states (intra-unit-cell and finite Q) coexisting at E {approx} {Delta}{sub 1} are found to be indistinguishable in the dSC and PG phases. The next challenge for SI-STM studies is to determine the relationship of the E {approx} {Delta}{sub 1} broken symmetry electronic states with the PG phase, and with the E < {Delta}{sub 0} states associated with Cooper pairing.},
doi = {},
url = {https://www.osti.gov/biblio/1033198}, journal = {New Journal of Physics},
number = ,
volume = 13,
place = {United States},
year = {2011},
month = {6}
}