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n d = 5 100 Tn = 1d2 K11 10 Tvisc = d2/(4/2) 10-5 Tq = 0/ 10-3 1 2 d U f 1... 6 K11 K22 K33 f, U /2 XOY 104 10 n XOZ Uc XOY XOZ XOZ XOY XOY OZ DSM1 DSM2 n K 18C N 42C I a 22, 5C C 34C N 41, 3C I a > 0 SnO2 Uc < n(t) > 103 U 4, 5 d = 100 B = 0, 83 Uc = 6, 2 Uc = 6, 2 U2c = 8 1, 2U2c 60 1, 65U2c 1, 9U2c 2, 5U2c d = 25 125 60 120 n = - 60 4, 5 < U < Uc = 6, 2 XOY U2c = 8 [11] [ 60 11] 120 n a a a > -0, 1 a = -0, 53 a 0 a Uc qxc qyc a 4, 5 < U < Uc = 6, 2 a < 0 d OZ XOY OX X Y Z ( ) = (cos cos ; cos sin ; sin ) = - 0 0 (1; ; ) (x, y, z) (0, 0, E0) = 0 = 0 0 Uc = dEc P vx vy vz z = 0 z = d = 0, vz = 0, vz/z = 0, = 0. vx = x sin qxx cos qyy sin z ;

d d d vy = y cos qxx sin qyy sin z ;

d d d vz = z cos qxx cos qyy cos z ;

d d d = sin qxx cos qyy sin z ; d d d = sin qxx sin qyy sin z ;

d d d = cos qxx cos qyy cos z.

d d d = (vx, vy, vz, , , ) = 0, Lij i, j = 1,..., 6 vx = 0, = (vy, vz, , , ) det = 0, U(qx, qy) qx qy Uc qxc qyc d = 25 Uc = 6, 5 qxc/qyc = 1, 3 Uc 6, 2 qxc/qyc 1, 2 f 0, 15 [11] [1 1] U = 8, 2 U = 9, 0 U = 9, 7 1, 2U2c 1, 6U2c 1, 2U2c = A K d2 2A 3 2 1 K 1 + - i + a2(1 - )[3 (1 + )T2 a2 2a2 4 d2 a2 a2 X2 d2 - i ]A |A|2 = 0, 2a2 d 25 T = 22C Dc 1 H 104 10 fL = 20 fL = 20 fL = 20 q = 2/ 24 f fcut-off = 60 Uc f (U, f) f U T Uc fL T U f T = 0 T = 90 T Urolls T fL T 60 U f T = 0 T = 90 d = 20 z z = (nx0, ny0, 0) nx0 = cos T d ny0 = sin T d 0 X 0 < T /2 d = (cos(T /2), sin(T /2), 0) 0 2 = 2, 05 = 0, 55 10-8 ( )-1 fcut-off = 0 T = 20 C f g = ( f) + g, OZ OZ V (t) = E0d cos(t) = 2Veff cos(t). = 0 f T = 0 T = 90 d = 20 fL T d = 20 = - + E0 cos(t), d/ 0 = 0/ 2 2 E0d20 Veff0 R = . 2k112 k112 = (, nx, ny, nz, f, g) = 0 = (nx0, ny0, 0) f = g = 0 0 XOY (x, y, z, t) = etei(qx+py) (z)eimt, m m=- q p x y R = 0 = 0 R Rc (z) m f (, nx, ny, nz, g) ((q, p)) = 0 R0(q, p) Uc qc pc Rc = R0(q, p). q,p (A + RB) = C. = = 0 = 0 1 A-1B = - . R (q, p) A-1B R T U1c 0 T 45 T = 0 45 T 90 XOY 45 T 75 75 T 90 T = 60 U1c = 8 U = 8, 56 /2 U = 9, 5 T 2 U = 10, 52 T = 60 T = 90 d = 20 100 U = 14, 20 XOY T = 0 75 T 90 U2c = 11, 48 1D 2D T = 90 1D 2D /2 1 1 q(x, y) y y 512 512 8 0 x2 1 fb c f fc(x) = e- e2if x b fb fb = 1 fc = 1 s(x, y) q(x, y) = 2/s(x, y) q(x, y)- < q > q(x, y) = < q > < q > 1 va 2 2 = (U2 - Uc )/Uc N 2D N L 2 2D F q 1D 2D 1 Leff 0 L = 2 1, 3 +1 -1 1 q(x, y) y y 1 1D 2D T = /2 Uc /2 d = 20 f = 100 Uc = 72, 8 = 0, 01 = 0, 03 = 0, 12 = 0, 25 100 = (U2 2 2 Uc )/Uc n f OX 2fK3/|2| K3 2 1 OX 2 OX OY 2 XOY OY /2 XOY XOZ 0, 03 = 0, 12 = 0, 25 OY Uch fcut-off f U fL 19, 8 fL n fL fL f = 10 U = 6, 3 fL f = 30 U = 8, 55 d = 40 65 Uc T f XOY T fL f = 10 45 f = 10 = 0.17 150 f Uc OY OX T 0 fL 19, 8 T = 25 C = 0.71 = 0.55 10-8 ( )-1 Uc fcut-off Uc 2 2 = (U2 - Uc )/Uc f < fL Y AR 0.16 = 0 T 2 AR = (UAR 2 2 Uc )/Uc 0.16 n XOZ UAR n X n XOY n X XOY /4 XOZ > AR f = 10 = 0.17 45 f < fL UAR > Uc n X XOY fL XOZ 23 = 1 zig-zag XOZ T zig - zag fL f = 30 = 0.1 XOZ T f = 30 f fL fL fL fL U > Uc zig - zag d = 40 Uc = 2, 4 U 5, 8 d = 40 Uc 2, 4 Uc d /d = 2, 5 0, 1 n U 2, 74 XOZ n XOY y XOY y U U2c = 5, 8 0, 1 e = e1 - e3 e = e1 - e3 d Z = d/2 n OX z = -d/2 n OZ z = d/2 U = E0d = E0 - 1 F = { [K11( )2 + K22( )2 + K33( )2] 2 1 - 0a( )2 - }dV, fl 2 = e1 ( ) - e3( ( )), fl K11 K22 K33 a = - e1 e3 = {nx0(z), 0, nz0(z)} XOY 0 d/ z = /2 U Y (y, z) = eipy (z) p = 2/ 1 F (z) (z) U(p) Uc = minpU(p) pc = p(Uc) K11 = K22 = K33 = K 0aU2/(K2) 1 U(p) 3 3 1 4 p2 - 2[p2 + ( p4 + 2p2 + )] + 2(p2 + 1)2 = 0, 2 2 2 = 0aK/e2 = eU/(K) e = e1 - e3 K = 6, 510-12 a = -0, 53 e = 1, 7 10-11 / e = e1 - e3 = 1, 4 0, 1 10-11 / = -0, 1 c = 2, 4 pc = 0, 96 U = 2, 7 = 2, 1d e = e1 - e3 Dc 1 H n 0 T /2 Uc T +1 -1 1 XOY n XOZ

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